Reinhold Blümel
List of Publications

April 18, 2011

1. R. Blümel, Novel electrodynamic trapping mechanism for neutral, polar particles, Eur. Phys. J. D 64, 85–101 (2011). PDF
   Published version available at DOI: 10.1140/ep jd/e2011-20208-y ;
2. R. Blümel, Electrodynamic trap for neutral polar particles, Phys. Rev. A 83, 045402, pp. 1–3 (2011). PDF ;
3. G. Geyer and R. Blümel, Antihydrogen Production in a Paul Trap, APS March Meeting, Monday, March 21, 2011,
   Session B10, talk number B10.00012. PDF ;
4. R. Blümel, Foundations of Quantum Mechanics: From Photons to Quantum Computers (Jones and Bartlett Publishers, Sudbury, MA, 2010), 331 pages; ISBN 978-0-7637-7628-2. ;
5. R. Blümel, Solutions Manual for Foundations of Quantum Mechanics: From Photons to Quantum Computers (Jones and Bartlett Publishers, Sudbury, MA, 2010), 155 pages. ;
6. R. Blümel, Advanced Quantum Mechanics: The Classical-Quantum Connection (Jones and Bartlett, Sudbury, 2011), 425 pages; ISBN 978-1-934015-52-0. ;
7. R. Blümel, Solutions Manual for Advanced Quantum Mechanics: The Classical-Quantum Connection (Jones and Bartlett, Sudbury, MA, 2011), 318 pages. ;
8. Z. S. Pastore and R. Blümel, An exact periodic-orbit formula for the energy levels of the three-pronged star graph,
   J. Phys. A: Math. Gen. 42, 135102, pp. 1–18 (2009). PDF ;
9. R. Blümel, Analytical solution of the compressed, one-dimensional delta atom via quadratures and exact, absolutely convergent periodic-orbit expansions, J. Phys. A: Math. Gen. 39, 8257–8282 (2006). PDF ;
10. R. Blümel and I. Garrick-Bethell, Quantum mechanics of the dynamic Kingdon trap, Phys. Rev. A 73, 023411 (2006), pp. 1–5. PDF ;
11. R. Blümel, Comment on ‘Quantum chaos in elementary quantum mechanics’ [Eur. J. Phys. 26 (2005) 423--439] by Yu Dabaghian and R. Jensen, Eur. J. Phys. 27, L1–L4 (2006). PDF ;
12. A. S. Bhullar, R. Blümel, and P. M. Koch, Ghost orbit spectroscopy, Phys. Rev. E 73, 016211 (2006), pp. 1–18. PDF ;
13. C. Vaa, P. M. Koch, and R. Blümel, Weyl formula: Experimental test of ray-splitting and corner corrections, Phys. Rev. E 72, 056211 (2005), pp. 1–31. PDF ;
14. R. Blümel, Analytical solution of the finite quantum square-well problem, J. Phys. A: Math. Gen. 38, L673–L678 (2005). PDF ;
15. A. S. Bhullar, R. Blümel, and P. M. Koch, Ray splitting with ghost orbits: explicit, analytical and exact solution for spectra of scaling step potentials with tunneling, J. Phys. A: Math. Gen. 38, L563–L569 (2005). PDF ;
16. R. Blümel, Spectra of Stick Molecules, Bull. Am. Phys. Soc. 50(3), 26 (2005). PDF ;
17. Th. Clausen and R. Blümel, Multiphoton classification of prethreshold structures in measured microwave ionization curves of hydrogen Rydberg atoms, Phys. Rev. A 70, 053411 (2004), pp. 1–9. PDF ;
18. Yu. Dabaghian and R. Blümel, Explicit spectral formulas for scaling quantum graphs, Phys. Rev. E 70, 046206 (2004), pp. 1–16. PDF ;
19. I. Garrick-Bethell, Th. Clausen, and R. Blümel, Nonlinear Dynamics with Trapped Charged Particles, Bull. Am. Phys. Soc. 49(3), 130–131 (2004). PDF ;
20. I. Garrick-Bethell, Th. Clausen, and R. Blümel, Universal instabilities of radio-frequency traps, Phys. Rev. E 69, 056222 (2004), pp. 1–15. PDF ;
21. R. Blümel, Ray-splitting correction to the Weyl formula: Experiment versus theory, Bull. Am. Phys. Soc. 49, 359 (2004). PDF ;
22. Yu. Dabaghian and R. Blümel, Explicit analytical solution for scaling quantum graphs, Phys. Rev. E 68, 055201(R) (2003), pp. 1–4. PDF ;
23. I. Garrick-Bethell and R. Blümel, Unexpected instabilities in the dynamic Kingdon trap, Phys. Rev. A 68, 031404(R) (2003), pp. 1–4. PDF ;
24. Yu. Dabaghian and R. Blümel, Solution of scaling quantum networks, Pis’ma v. ZhETF 77, 629–632 (2003); JETP Lett. 77, 530–533 (2003). PDF ;
25. C. Vaa, P. M. Koch and R. Blümel, Ray-splitting correction to the Weyl formula: Experiment versus theory, Phys. Rev. Lett. 90, 194102 (2003), pp. 1–4. PDF ;
26. Yu. Dabaghian, R. V. Jensen and R. Blümel, Integrability in 1D quantum chaos, in Proceedings of the Fourth International Conference on Dynamical Systemes and Differential Equations, 206–212 (2003).  PDF ;
27. V. I. Savichev and R. Blümel, Squeezing close to the stability boundaries of the Paul trap, Phys. Lett. A 309, 211–214 (2003). PDF ;
28. T. Vorrath and R. Blümel, Electronic structure of three-dimensional quantum dots, Eur. Phys. J. B 32, 227–235 (2003). PDF ;
29. V. I. Savichev and R. Blümel, Quantum load-matching, Europhys. Lett. 61, 1–7 (2003). PDF ;
30. Yu. Dabaghian, R. V. Jensen and R. Blümel, Spectra of regular quantum graphs, J. Exp. Theor. Phys. 94, 1201–1215 (2002); Zh. Exp. Teor. Fiz. 121, 1399-1414 (2002).  PDF ;
31. T. Vorrath and R. Blümel, Electronic structure of three-dimensional quantum dots, Verhandl. DPG (VI) 37, 1/183 (2002).  PDF ;
32. J. D. Wright, F. St\”ahle, H. Flores-Rueda, R. Blümel, and T. J. Morgan, Classically Scaled Quantum Calculations for Direct Comparison with Experimental Scaled Energy Spectra, Bull. Am. Phys. Soc. 47(3), 109 (2002).  PDF ;
33. C. Vaa, P. M. Koch and R. Blümel, Measurement of the ray-splitting correction to the Weyl formula, Bull. Am. Phys. Soc. 47(3), 107 (2002).  PDF ;
34. V. I. Savichev and R. Blümel, Quasi-molecular resonances in muonic hydrogen charge-exchange reactions, Eur. Phys. J. D 21, 3–12 (2002). PDF ;
35. R. Blümel, Yu. Dabaghian and R. V. Jensen, Exact, convergent periodic-orbit expansions of individual energy levels of regular quantum graphs, Phys. Rev. E 65, 046222, 1–10 (2002). PDF ;
36. R. Blümel, Floquet Theory of the Quantum Dynamic Kingdon Trap, AIP Conference Proceedings 606, edited by Francois Anderegg, Lutz Schweikhard and C. Fred Driscoll (American Institute of Physics, 2002), pp. 509–512. ;
37. G. N. Rockwell, V. F. Hoffman, Th. Clausen and R. Blümel, Realistic three-dimensional computations of microwave-ionization curves of hydrogen Rydberg atoms, Phys. Rev. A 65, 025401 (2002). PDF ;
38. R. Blümel, Yu. Dabaghian and R. V. Jensen, Explicitly solvable cases of one-dimensional quantum chaos, Phys. Rev. Lett. 88, 044101 (2002). PDF ;
39. R. Blümel and I. Garrick-Bethell, Quantum mechanics of the dynamic Kingdon trap, Bull. Am. Phys. Soc. 46(3), 93 (2001). PDF ;
40. Th. Clausen and R. Blümel, Prediction of sharp ionization features in microwave-driven hydrogen Rydberg atoms, Bull. Am. Phys. Soc. 46(3), 81 (2001). PDF ;
41. Yu. Dabaghian, R. V. Jensen and R. Blümel, One-dimensional quantum chaos: Explicitly solvable cases, Pis’ma Zh. \’Eksp. Teor. Fiz. 74, 258–262 (2001); JETP Lett. 74, 235–239 (2001). PDF ;
42. R. Blümel and Y. Dabaghian, Combinatorial identities for binary necklaces from exact ray-splitting trace formulas, J. Math. Phys. 42, 5832–5839 (2001). PDF ;
43. N. Savytskyy, A. Kohler, Sz. Bauch, R. Blümel, and L. Sirko, Parametric correlations of the energy levels of ray-splitting billiards, Phys. Rev. E 64, 036211, pp. 1–5 (2001). PDF ;
44. Y. Dabaghian, R. V. Jensen and R. Blümel, Exact trace formulas for a class of one-dimensional ray-splitting systems, Phys. Rev. E 63, 066201, pp. 1–6 (2001). PDF ;
45. R. Blümel, P. M. Koch, and L. Sirko, Ray-splitting Billiards, Foundations of Physics 31, 269–281 (2001). PDF ;
46. R. Blümel, Ray Splitting and Chaos in Electromagnetic Resonators, in {\it Ultra-Wideband, Short-Pulse Electromagnetics 5, edited by Paul D. Smith and Shane R. Cloude (Kluwer Academic/Plenum Publishers, New York, 2002), pp. 731–737. PDF ;
47. R. Blümel and Th. Clausen, Wasserstoffionisation in starken Mikrowellenfeldern: Klassik, Semiklassik, Quantenmechanik Verhandl. DPG (VI) 35, 1108–1109 (2000).  PDF ;
48. T. Vorrath and R. Blümel, Thomson-Atome, Physik in Unserer Zeit, 31, 115–120 (2000).  PDF ;
49. T. Schneider and R. Blümel, Grundzustandseigenschaften bosonischer Thomson-Atome, Verhandl. DPG (VI) 35, 943 (2000).  PDF ;
50. Th. Clausen and R. Blümel, Microwave Ionization of Hydrogen Rydberg Atoms: 3D Computations, Bull. Am. Phys. Soc. 45, 448 (2000).  PDF;
51. R. Blümel, Classical and Quantum Implications of Ray Splitting, Bull. Am. Phys. Soc. 45, 448 (2000). PDF ;
52. L. Sirko, Sz. Bauch, Y. Hlushchuk, P. M. Koch, R. Blümel, M. Barth, U. Kuhl, H.-J. St\”ockmann, Observation of dynamical localization in a rough microwave cavity, Physics Letters A 266, 331–335 (2000). PDF ;
53. Y. Hlushchuk, A. Kohler, Sz. Bauch, L. Sirko, R. Blümel, M. Barth, and H.-J. St\”ockmann, Autocorrelation function of level velocities for ray-splitting billiards, Phys. Rev. E 61, 366–370 (2000). PDF ;
54. R. Blümel, Book review on Theoretical Atomic Physics, by H. Friedrich (Springer, 1998), in Phys. Bl\”atter 55(9), 80–81 (1999).  PDF ;
55. T. Schneider and R. Blümel, Bose-Einstein condensates of Bosonic Thomson atoms, J. Phys. B 32, 5017–5031 (1999). PDF ;
56. R. Blümel, The Crystron: An Induction Accelerator for the Production of Crystalline Beams, in AIP Conference Proceedings 498, edited by J. J. Bollinger, R. L. Spencer and R. C. Davidson, pp. 345–349 (1999). PDF ;
57. R. Blümel and P. E. Smaldino, Induction accelerator for crystalline beams, Phys. Lett. A 260, 495–501 (1999). PDF ;
58. H. Primack and R. Blümel, Synchrotron Radiation of Crystallized Beams, Phys. Rev. E 60, 957–967 (1999). PDF ;
59. A. Kohler and R. Blümel, Classical and Quantum Chaos in Ray-Splitting Billiards, Bull. Am. Phys. Soc. 44, 1870 (1999).  PDF ;
60. R. Blümel and H. Primack, Diagnostic Criterion for Beam Crystallization, Bull. Am. Phys. Soc. 44, 1304 (1999).  PDF;
61. R. Blümel and H. Primack, Synchrotron Radiation of Crystallized Beams, Bull. Am. Phys. Soc. 44, 1304 (1999).  PDF;
62. A. Kohler and R. Blümel, Test of semiclassical amplitudes for quantum ray-splitting systems, Phys. Rev. E 59, 7228–7230 (1999). PDF ;
63. R. Blümel, Fractional Frequency Parametric Resonances in a Paul Trap, in {\it Trapped Charged Particles and Fundamental Physics, edited by D. H. E. Dubin and D. Schneider, AIP Conference Proceedings 457, 329–333 (1999). PDF ;
64. R. Blümel, Chaos and Order in Ion Traps and Storage Rings, in {\it Trapped Charged Particles and Fundamental Physics, edited by D. H. E. Dubin and D. Schneider, AIP Conference Proceedings 457, 290–294 (1999). PDF ;
65. A. Kohler and R. Blümel, Signature of Periodic Lateral-Ray Orbits in a Rectangular Ray-Splitting Billiard, Phys. Lett. A 247, 87–92 (1998). PDF ;
66. H. Primack and R. Blümel, Diagnostic Criterion for Crystallized Beams, Phys. Rev. E 58, 6578–6583 (1998). PDF ;
67. H. Primack and R. Blümel, Suppression of synchrotron radiation due to beam crystallization, Eur. Phys. J. A 3, 299–301 (1998). PDF ;
68. B. Reusch and R. Blümel, Crystallized Vortex Crystals, Eur. Phys. J. D 3, 123–127 (1998). PDF ;
69. X. Chu, R. Blümel, R. W. Alheit, M. A. N. Razvi, B. Sch\”afer, and G. Werth, Parametrische kollektive Resonanz bei gebrochenen Frequenzen in einer Paulfalle, Verhandl. DPG (VI) 33, 111 (1998). PDF ;
70. A. Kohler and R. Blümel, Weyl formulas for quantum ray-splitting billiards, Ann. Phys. (N.Y.) 267, 249–280 (1998). PDF ;
71. M. A. N. Razvi, X. Z. Chu, R. Alheit, G. Werth and R. Blümel, Fractional frequency collective parametric resonances of an ion cloud in a Paul trap, Phys. Rev. A 58, R34–R37 (1998). PDF ;
72. A. Kohler and R. Blümel, Annular Ray-Splitting Billiard, Phys. Lett. A 238, 271–277 (1998). PDF ;
73. R. Blümel, Quantum Implications of Ray Splitting, Acta Physica Polonica A 93, 7–10 (1998).  PDF;
74. R. Blümel, E. Bonneville and A. Carmichael, Chaos and bifurcations in ion traps of cylindrical and spherical design, Phys. Rev. E 57, 1511–1518 (1998). PDF ;
75. Sz. Bauch, A. B{\l}\c{e}dowski, L. Sirko, P. M. Koch, and R. Blümel, Signature of non-Newtonian orbits in ray-splitting cavities, Phys. Rev. E 57, 304–315 (1998). PDF ;
76. R. Alheit, X. Z. Chu, M. Hoefer, M. Holzki, G. Werth, and R. Blümel, Nonlinear Collective Oscillations of an Ion Cloud in a Paul Trap, Phys. Rev. A 56, 4023–4031 (1997). PDF ;
77. R. Blümel and W. P. Reinhardt, Chaos in Atomic Physics (Cambridge University Press, Cambridge, 1997). ;
78. A. Kohler, G. H. M. Killesreiter, and R. Blümel, Ray Splitting in a Class of Chaotic Triangular Step Billiards, Phys. Rev. E 56, 2691–2701 (1997). PDF ;
79. R. Alheit, M. Hoefer, M. Holzki, G. Werth, and R. Blümel, Nichtharmonische Resonanzen in der Paulschen Ionenfalle, Verhandlungen DPG 3, 203 (1997). PDF ;
80. R. Blümel, Microwave Ionization of Hydrogen Rydberg Atoms: Chaos, Symmetry and Dynamical Localization, in {\it Classical, Semiclassical and Quantum Dynamics in Atoms, edited by H. Friedrich and B. Eckhardt, Lecture Notes in Physics 485, p. 153–171 (1997). PDF ;
81. L. Sirko, P. M. Koch, and R. Blümel, Experimental identification of non-Newtonian orbits produced by ray splitting in a dielectric-loaded microwave cavity, Phys. Rev. Lett. 78, 2940–2943 (1997). PDF ;
82. R. Blümel, Book review on Chaos — The Interplay Between Stochastic and Deterministic Behaviour, edited by P. Garbaczewski, M. Wolf and A. Weron (Springer, 1995), in Contemp. Phys. 38, 88–89 (1997). PDF ;
83. R. Blümel and A. Kohler, Strahlenspaltung und Quantenchaos, Phys. Bl. 52, 1243–1245 (1996). PDF ;
84. R. Blümel, Existence of an Ericson Regime in Stretched Helium, Phys. Rev. A 54, 5420–5422 (1996). PDF ;
85. R. Blümel, T. M. Antonsen, Jr., B. Georgeot, E. Ott, and R. E. Prange, Ray Splitting and Quantum Chaos, Phys. Rev. E 53, 3284–3302 (1996). PDF ;
86. R. Blümel, T. M. Antonsen, Jr., B. Georgeot, E. Ott, and R. E. Prange, Ray Splitting and Quantum Chaos, Phys. Rev. Lett. 76, 2476–2479 (1996). PDF ;
87. R. E. Prange, E. Ott, T. M. Antonsen, B. Georgeot, and R. Blümel, Smoothed Density of States for Problems with Ray-Splitting, Phys. Rev. E 53, 207–213 (1996). PDF ;
88. R. Blümel, Reply on Sensitivity and Chaos in quantum systems, Phys. Rev. Lett. 75, 582 (1995). PDF ;
89. R. E. Ryan, L. A. Westling, R. Blümel, and H. J. Metcalf, Two-photon spectroscopy: A technique for characterizing diode-laser noise, Phys. Rev. A 52, 3157–3169 (1995). PDF ;
90. R. Blümel, Genuine electromagnetic wave chaos, Phys. Rev. E 51, 5520–5523 (1995). PDF ;
91. M. G. Moore and R. Blümel, Prediction of Deterministic Melting Regions of Two and Three Laser-cooled Ions in a Paul Trap, Physica Scripta T 59, 434–437 (1995). PDF ;
92. M. G. Moore and R. Blümel, An Improved Pseudo Potential for the Two-Ion Paul Trap, Physica Scripta T 59, 429–433 (1995).  PDF ;
93. R. Blümel, Nonlinear Dynamics of Trapped Ions, Physica Scripta T 59, 369–379 (1995). PDF ;
94. R. Blümel, An introduction to chaos in dynamic ion traps, Physica Scripta T 59, 126–130 (1995). PDF ;
95. R. Blümel and B. Esser, Type II Quantum Chaos, Z. Phys. B 98, 119–131 (1995).  PDF;
96. R. Blümel and B. Esser, Reply Comment to Quantum Chaos in the Born-Oppenheimer Approximation, Phys. Rev. Lett. 74, 1485 (1995). PDF ;
97. R. Blümel, Dynamic Kingdon trap, Phys. Rev. A 51, R30–R33 (1995). PDF ;
98. R. Blümel, The dynamic Kingdon trap: A novel design for the storage and crystallization of laser-cooled ions, Appl. Phys. B 60, 119–122 (1995). PDF ;
99. R. Blümel, Cooling-induced melting of ion crystals in a Paul trap, Phys. Rev. A 51, 620–624 (1995). PDF ;
100. R. Blümel, Quantum Chaos in Few-Body Systems, Bull. Am. Phys. Soc. 39, 1177 (1994). PDF ;
101. M. G. Moore and R. Blümel, Prediction of an Alignment Transition Region of Two-ion Crystals in a Paul Trap, Phys. Rev. A 50, R4453–R4456 (1994). PDF ;
102. A. Haffmans, R. Blümel, P. M. Koch, and L. Sirko, Prediction of a New Peak in Two-Frequency Microwave Ionization of Excited Hydrogen Atoms, Phys. Rev. Lett. 73, 248–251 (1994). PDF ;
103. R. Blümel, Exponential Sensitivity and Chaos in Quantum Systems, Phys. Rev. Lett. 73, 428–431 (1994). PDF ;
104. R. Blümel, Sensitivity and Chaos in Quantum Systems, Nuc. Phys. A 572, 9–16 (1994). PDF ;
105. R. Blümel and B. Esser, Quantum Chaos in the Born-Oppenheimer Approximation, Phys. Rev. Lett. 72, 3658–3661 (1994). PDF ;
106. R. Blümel, Microwave Ionization of Hydrogen Rydberg Atoms: Resonance Analysis and Critical Fields, Phys. Rev. A 49, 4787–4793 (1994). PDF ;
107. M. Thaha and R. Blümel, Nonuniversality of Localization Length in a Quantum Chaotic System, Bull. Am. Phys. Soc. 39, 605 (1994).  PDF ;
108. M. Thaha and R. Blümel, Nonuniversality of the Localization Length in a Quantum Chaotic System, Phys. Rev. Lett. 72, 72–75 (1994). PDF ;
109. R. Blümel and W. P. Reinhardt, Streched Helium: A Model for Quantum Chaos in Two-Electron Atoms, in Quantum Chaos, edited by G. Casati and B. V. Chirikov, (Cambridge Univ. Press, 1994).  PDF ;
110. M. Thaha und R. Blümel, Nonuniversality of the Localization Length in the Symplectic Kicked Rotor Model, published in the ITAMP Proceedings on Quantum Chaos: Experiment and Theory, (1993).  PDF ;
111. R. Blümel, Quantum chaotic scattering with CsI molecules, Chaos, 3, 683–690 (1993). PDF ;
112. Y. C. Lai, C. Grebogi, R. Blümel, und I. Kan, Crisis in Chaotic Scattering, Phys. Rev. Lett. 71, 2212–2215 (1993). PDF ;
113. J. W. Emmert, M. Moore and R. Blümel, Prediction of a deterministic melting transition of two-ion crystals in a Paul trap, Phys. Rev. A 48, R1757–R1760 (1993). PDF ;
114. M. Thaha, R. Blümel and U. Smilansky, Symmetry Breaking and Localization in Quantum Chaotic Systems, Phys. Rev. E 48, 1764–1781 (1993). PDF ;
115. M. Moore and R. Blümel, Quantum Manifestations of Order and Chaos in the Paul-Trap, Phys. Rev. A 48, 3082–3091 (1993). PDF ;
116. R. Blümel and R. Blümel, Computer Aided Pulse Pattern Synthesis for VSI-Fed Machine Drives, Proceedings of the PCIM, (Incom Ziroth and partner GmbH, Nürnberg, 1993).  PDF ;
117. R. Blümel, Comment on Regular and Chaotic Motions in Ion Traps: A Nonlinear Analysis of Trap Equations, Phys. Rev. A 48, 854–855 (1993). PDF ;
118. R. Blümel, On the Integrability of the Two-ion Paul-Trap in the Pseudo Potential Approximation, Phys. Lett. A 174, 174–175 (1993). PDF ;
119. M. Moore and R. Blümel, Quantum Manifestation of Chaos in the Paul-trap, in Quantum Dynamics of Chaotic Systems, edited by J.-M. Yuan, D. H. Feng and G. M. Zaslavsky, pp. 163–176 (Gordon and Breach, Amsterdam, 1993). PDF ;
120. R. Blümel, Exotic Fractals and Atomic Decay, Proceedings of the International School Enrico Fermi, Course CXIX, (North-Holland, Amsterdam, 1993), pp. 385–398.  PDF ;
121. R. Blümel, C. Kappler, W. Quint, and H. Walther, Erratum Chaos and order of laser-cooled ions in a Paul-trap, [Phys. Rev. A 40, 808 (1989)], Phys. Rev. A 46, 8034 (1992). PDF ;
122. Y. C. Lai, M. Ding, C. Grebogi, and R. Blümel, Algebraic Decay and Fluctuations of Decay Exponent in Hamiltonian Systems, Phys. Rev. A 46, 4661–4669 (1992). PDF ;
123. Y. C. Lai, R. Blümel, E. Ott, and C. Grebogi, Quantum Manifestations of Chaotic Scattering, Phys. Rev. Lett. 68, 3491–3494 (1992). PDF ;
124. R. Blümel and U. Smilansky, Symmetry Breaking and Localization in Quantum Chaotic Systems, Phys. Rev. Lett. 69, 217–220 (1992). PDF ;
125. R. Blümel, Book review on Quantum Signatures of Chaos, by F. Haake (Springer, 1991), in Foundations of Physics 22, 635–637 (1992). ;
126. R. Blümel and J. Mehl, Quantum Chaos, J. Stat. Phys. 68, 311–319 (1992). PDF ;
127. R. Blümel, B. Dietz, C. Jung, and U. Smilansky, On the transition to chaotic scattering, J. Phys. A 25, 1483–1502 (1992). PDF ;
128. Y. C. Lai, C. Grebogi, R. Blümel, and M. Ding, Algebraic Decay and Phase-Space Metamorphoses in Microwave Ionization of Hydrogen Rydberg Atoms, Phys. Rev. A 45, 8284–8287 (1992). PDF ;
129. C. F. Hillermeier, R. Blümel, and U. Smilansky, Ionization of H Rydberg Atoms: Fractals and Powerlaw Decay, Phys. Rev. A 45, 3486–3502 (1992). PDF ;
130. R. Blümel, I. H. Davidson, W. P. Reinhardt, H. Lin, and M. Sharnoff, Quasilinear Ridge Structures in Water Surface Waves, Phys. Rev. A 45, 2641–2644 (1992). PDF ;
131. R. Blümel and W. P. Reinhardt, Where is the Chaos in Two-Electron Atoms?, in Directions in Chaos, Vol. 4, edited by D. H. Feng and J.-M. Yuan (World Scientific, Singapore, 1992), pp. 245–319. PDF ;
132. R. Blümel, Quantum Chaotic Scattering, in Directions in Chaos, Vol. 4, edited by D. H. Feng and J.-M. Yuan, (World Scientific, Singapore, 1992), pp. 397–457. PDF ;
133. R. Blümel, A. Buchleitner, R. Graham, L. Sirko, U. Smilansky, and H. Walther, Dynamical Localization in the Microwave Interaction of Rydberg Atoms: The Influence of Noise, Phys. Rev. A 44, 4521–4540 (1991). PDF ;
134. R. Blümel and K. Dietrich, Quantum States of Neutrons in the Magnetic Field of a Rectilinear Current, Phys. Rev. A 43, 22–28 (1991). PDF ;
135. R. Blümel and C. Kappler, Chaos in der Paulfalle, Verhandl. DPG (VI) 25, 462 (1990). PDF ;
136. R. Blümel, E. Peik, W. Quint, and H. Walther, Phase Transitions of Stored Laser-Cooled Ions, Acta Physica Polonica A 78, 419–432 (1990).  PDF ;
137. R. Blümel, Quantenchaos-Theorie besteht Mikrowellentest, Phys. Bl. 46, 359–360 (1990). PDF ;
138. R. Blümel, A New Class of Ordered Structures in a Paul Trap: Classically Stable Clusters of Ions of Both Charge Signs, in OSA Proceedings on Nonlinear Dynamics in Optical Systems, Vol. 7, edited by N. B. Abraham, E. Garmire, and P. Mandel (Afton, Oklahoma, June 4–8, 1990), pp. 594–597. PDF ;
139. R. Blümel, Hetero Charged Ion Clusters in a Paul Trap, Z. Phys. D 16, 293–297 (1990).  PDF ;
140. R. Blümel and U. Smilansky, Quantum Mechanical Suppression of Chaos, Physics World 3(2), 30–34 (1990). PDF ;
141. R. Blümel, C. Hillermeier and U. Smilansky, Classical and Quantum Dynamical Regimes in the Bound Space Projected Dynamics of Strongly Driven H Rydberg Atoms, Z. Phys. D 15, 267–280 (1990). PDF ;
142. R. Blümel and U. Smilansky, Ionization of Hydrogen Rydberg Atoms in Strong Mono- and Bichromatic Microwave Fields, J. Opt. Soc. Am. B 7, 664–679 (1990).  PDF ;
143. R. Blümel and U. Smilansky, Random Matrix Description of Chaotic Scattering: Semiclassical Approach, Phys. Rev. Lett. 64, 241–244 (1990). PDF ;
144. R. Blümel, The Physics of Stored Laser Cooled Ion Clusters: Phase Transitions in a System with only a Few Degrees of Freedom, in Coherence and Quantum Optics VI, Proceedings of the Sixth Rochester Conference on Coherence and Quantum Optics, June 26–28, edited by J. H. Eberly, L. Mandel and E. Wolf (Plenum Press, New York and London, 1989), ISBN 0-306-43485-7. PDF ;
145. R. Blümel and U. Smilansky, Quantenmechanik des irregul\”aren Streuens, Phys. Bl. 45, 379–381 (1989). PDF ;
146. C. Hillermeier and R. Blümel, Fractallike Structures and the Strongly Kicked H-Atom, in Fundamentals of Laser Interactions II, Feb. 26 – March 4, edited by F. Ehlotzky (Springer, 1989). PDF ;
147. R. Blümel, R. Graham, L. Sirko, U. Smilansky, H. Walther and K. Yamada, Localization Properties of Rydberg Atoms in the Presence of Noisy Mono-chromatic Microwave fields, in Fundamentals of Laser Interactions II, Feb. 26 — March 4, edited by F. Ehlotzky (Springer, 1989). PDF ;
148. R. Blümel, E. Peik, W. Quint and H. Walther, Phase Transitions of Stored Laser Cooled Ions: A First Step Towards Crystallization in Storage Rings, Proceedings of the 5th Int. Sympos. on Quantum Optics, Rotorua, Auckland, New Zealand, Feb. 13–17 (Springer, 1989).  PDF ;
149. R. Blümel and K. Dietrich, Bound states of a neutron in the cylindrically symmetric magnetic field of a current carrying wire, Phys. Lett. A 139, 236–240 (1989). PDF ;
150. R. Blümel, J. M. Chen, F. Diedrich, E. Peik, W. Quint and H. Walther, Phase Transitions of Stored Laser Cooled Ions, in Proceedings of the Workshop on Crystalline Ion Beams, October 4-7, 1988, Wertheim, edited by R. W. Hasse, I. Hofmann and D. Liesen, GSI-89-10, report, April 1989, ISSN 0171-4546, pp. 194–230. PDF ;
151. R. Blümel, C. Kappler, W. Quint and H. Walther, Chaos and Order of Laser Cooled Ions in a Paul-Trap, Phys. Rev. A 40, 808–823 (1989). PDF ;
152. R. Blümel, J. M. Chen, F. Diedrich, E. Peik, W. Quint, W. Schleich Y. R. Shen and H. Walther, Phase Transitions of Stored Laser Cooled Ions, in Proceedings of the ELeventh International Conference on Atomic Physics, (ELICAP), Paris, July 4-8, 1988 (World Scientific, 1989).  PDF ;
153. R. Blümel and U. Smilansky, Ionization of Excited Hydrogen Atoms by Microwave Fields: A Test Case for Quantum Chaos, Physica Scripta 40, 386 (1989).  PDF ;
154. R. Blümel and U. Smilansky, Excitation and Ionization of High-n H-Atoms by mono-chromatic and bi-chromatic Microwave Fields, in The Structure of Small Molecules and Ions, eds.: R. Naaman and Z. Vager, Plenum Publ. Company (1989), pp. 319–331.  PDF ;
155. R. Blümel and U. Smilansky, A Simple Model for Chaotic Scattering, II. Quantum Mechanical Theory, Physica D 36, 111–136 (1989).  PDF;
156. R. Blümel, R. Graham, L. Sirko, U. Smilansky, H. Walther and K. Yamada, Microwave Excitation of Rydberg Atoms in the Presence of Noise, Phys. Rev. Lett. 62, 341–344 (1989). PDF ;
157. R. Blümel, R. Graham, L. Sirko, U. Smilansky, H. Walther, and K. Yamada, über den Einflu{\ss} von Rauschen auf die Quantendynamik von Rydbergatomen in starken Mikrowellenfeldern, Sektion Q9, Verhandl. DPG (VI) 24, 20 (1989). ;
158. R. Blümel, G. Jaeckel and U. Smilansky, Ionization of High-n H-atoms by Bichromatic Microwave Fields, Phys. Rev. A 39, 450–453 (1989). PDF ;
159. M. Alexander, J. Strempel, R. Blümel, U. Smilansky, and H. Walther, Chaos in Rydbergatomen, Verhandl. DPG (VI) 23, 56 (1988). ; PDF
160. F. Diedrich, E. Peik, J. Chen, W. Quint, H. Walther, R. Blümel, W. Schleich, and Y.-R. Shen, Ionenkristalle und Phasenüberg\”ange in einer Paul-Falle, Verhandl. DPG (VI) 23, 42–43 (1988). ; PDF
161. R. Blümel, J. M. Chen, E. Peik, W. Quint, W. Schleich, Y. R. Shen and H. Walther, Phase Transitions of Stored Laser-Cooled Ions, Nature 334, 309–313 (1988). PDF ;
162. R. Blümel, J. Goldberg and U. Smilansky, Features of the Quasienergy Spectrum of the Hydrogen Atom in a Microwave Field, Zeitschrift für Physik D 9, 95–103 (1988). ; PDF
163. R. Blümel and U. Smilansky, Classical Irregular Scattering and its Quantum Mechanical Implications, Phys. Rev. Lett. 60, 477–480 (1988). PDF ;
164. R. Blümel, U. Smilansky, K.A.H. van Leeuwen, P.M. Koch, D. Richards and J.G. Leopold, Ionization of Excited Hydrogen Atoms Below the Classical Threshold by a Microwave Field, Bull. Am. Phys. Soc. 32, 1264 (1987). ; PDF
165. R. Blümel and U. Smilansky, Localization of Floquet States in the rf Excitation of Rydberg Atoms, Phys. Rev. Lett. 58, 2531–2534 (1987). PDF ;
166. R. Blümel and U. Smilansky, Microwave Ionization of Highly Excited Hydrogen Atoms, Zeitschrift für Physik D 6, 83–105 (1987). ; PDF
167. R. Blümel and K. Dietrich, Excited States of Light N=Z Nuclei with a Specific Spin-Isospin Order, Nucl. Phys. A 471, 453–468 (1987). PDF ;
168. R. Blümel and K. Dietrich, On the Relationship between the Source of the Pion Field in a Nucleus and Certain Quasi-Spin Algebras Ann. Univ. Marie Curie Sklodowska, XL-XLI (1987), pp. 39–50. ; PDF
169. R. Blümel and U. Smilansky, Microwave Ionization of Hydrogen Atoms Below the Classical Chaos Border, Physica Scripta 35, 15–19 (1987). PDF
170. R. Blümel and K. Dietrich, Pion Condensation in Excited States of Light N=Z Nuclei with a Specific Spin-Isospin Order, in Windsurfing the Fermi Sea II, edited by T. T. S. Kuo and J. Speth, (Elsevier Science Publishers B. V., 1987). ;
171. R. Blümel and K. Dietrich, Pion Condensates in Excited States of Finite Nuclei and of Nuclear Matter, Nucl. Phys A 454, 691–719 (1986). PDF ;
172. R. Blümel, S. Fishman and U. Smilansky, Excitation of Molecular Rotation by Periodic Microwave Pulses — A Testing Ground for Anderson Localization, J. Chem. Phys. 84, 2604–2614 (1986). PDF ;
173. R. Blümel, S. Fishman, M. Griniasti and U. Smilansky, Localization in the Quantum Description of the Periodically Perturbed Rotor, in Quantum Chaos and Statistical Nuclear Physics, Lecture Notes in Physics No. 263, eds.: T. H. Seligman and H. Nishioka, (Springer 1986). PDF
174. R. Blümel and U. Smilansky, Ionization of Surface-State Electrons by Microwave Fields: Quantum Treatment, Phys. Rev. A 32, 1900–1902 (1985). PDF
175. E. R. Marshalek and R. Blümel, Mixed Alignment in the Osmium-Iridium Region, Phys. Rev. Lett. 55, 370–373 (1985). PDF
176. R. Blümel and R. Meir, Effect of Continuum-Continuum-Interaction on the Ionization Rate of a Model Atom, J. Phys. B 18, 2835–2841 (1985). PDF
177. R. Blümel, R. Meir and U. Smilansky, Continuous vs. Discrete Quasi-Energy Spectrum in the Quantal Description of a Simple Parametric Resonator, Phys. Lett. A 103, 353–356 (1984). PDF
178. R. Blümel and U. Smilansky, Suppression of Classical Stochasticity by Quantum Mechanical Effects in the Dynamics of Periodically Perturbed Surface-State Electrons Phys. Rev. A 30, 1040–1051 (1984). PDF
179. R. Blümel and U. Smilansky, Quantum Mechanical Suppression of Classical Stochasticity in the Dynamics of Periodically Perturbed Surface-State-Electrons, Phys. Rev. Lett. 52, 137–140 (1984). PDF