Encircling an exceptional point

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 69, Issue 5, 2004, Pages 7-

  Dembowski, C ^a   Dietz, B ^a   Graf H D ^a   Harney, H L ^b   Heine, A ^a   Heiss, W D ^c   Richter, A ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

^c STELLENBOSCH UNIVERSITY   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85036229731     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.056216     Document Type: Article

References (30)

1. M. V. Berry, Proc. R. Soc. London, Ser. APRLAAZ1364-5021 392, 45 (1984).
2. Geometric Phases in Physics, edited by A. Shapere and F. Wilczek (World Scientific, Singapore, 1989).
3. M. V. Berry and M. R. Dennis, Proc. R. Soc. London, Ser. APRLAAZ1364-502110.1098/rspa.2003.1155 459, 1261 (2003).
4. N. Manini and F. Pistolesi, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.85.3067 85, 3067 (2000).
5. F. Pistolesi and N. Manini, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.85.3067 85, 3067 (2000).
6. W. Voigt, Ann. Phys. (Leipzig)ANPYA20003-3804 9, 367 (1902).
7. A. Carollo, I. Fuentes-Guridi, M. Franca Santos, and V. Vedral, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.90.160402 90, 160402 (2003).
8. R. S. Whitney and Y. Gefen, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.90.190402 90, 190402 (2003).
9. J. Anandan, J. Christian, and K. Wanelik, Am. J. Phys.AJPIAS0002-9505 65, 180 (1997), and references therein.
10. M. V. Berry and M. Wilkinson, Proc. R. Soc. London, Ser. APRLAAZ1364-5021 392, 15 (1984).
11. H.-M. Lauber, P. Weidenhammer, and D. Dubbers, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.72.1004 72, 1004 (1994).
12. C. Dembowski, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.86.787 86, 787 (2001).
13. M. Philipp, P. von Brentano, G. Pascovici, and A. Richter, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.62.1922 62, 1922 (2000).
14. W. D. Heiss, M. Müller, and I. Rotter, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.58.2894 58, 2894 (1998);
15. W. D. Heiss, Eur. Phys. J. DEPJDF61434-606010.1007/s100530050339 7, 1 (1999);
16. W. D. Heiss Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.61.929 61, 929 (2000).
17. F. Keck, H. J. Korsch, and S. Mossmann, J. Phys. AJPHAC50305-447010.1088/0305-4470/36/8/310 36, 2125 (2003).
18. S. Pancharatnam, Proc. Indian Acad. Sci., Sect. APISAA70370-0089 42, 86 (1955).
19. C. Dembowski, B. Dietz, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, and A. Richter, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.90.034101 90, 034101 (2003).
20. W. D. Heiss and H. L. Harney, Eur. Phys. J. DEPJDF61434-606010.1007/s100530170017 17, 149 (2001).
21. W. Ockham, “plurality should not be used without necessity,” see, e.g., E. Mach, The Science of Mechanics: A Critical and Historical Account of Its Development (Open Court, La Salle, 1960), p. 577.
22. H.-J. Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, Cambridge, 1999).
23. A. Richter, in Emerging Applications of Number Theory, edited by D. A. Hejhal, The IMA Volumes in Mathematics and its Applications Vol. 109 (Springer, New York, 1999), p. 479.
24. S. Sridhar, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.67.785 67, 785 (1991).
25. C. Dembowski, H.-D. Gräf, A. Heine, R. Hofferbert, H. Rehfeld, and A. Richter, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.84.867 84, 867 (2000).
26. G. Nenciu and G. Rasche, J. Phys. AJPHAC50305-4470 25, 5741 (1992).
27. I. Rotter, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.65.026217 65, 026217 (2002);
28. J. Okolowisc, M. Ploszajczak, and I. Rotter, Phys. Rep.PRPLCM0370-157310.1016/S0370-1573(02)00366-6 374, 271 (2003);
29. I. Rotter, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.67.026204 67, 026204 (2003).
30. C. Dembowski, B. Dietz, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, and A. Richter.