Experimental observation of the topological structure of exceptional points

Physical Review Letters

Volumn 86, Issue 5, 2001, Pages 787-790

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

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

^c UNIVERSITY OF THE WITWATERSRAND   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; MICROWAVES; RESONANCE; TOPOLOGY; VECTORS;

EXCEPTIONAL POINTS (EP); FREQUENCY ANTICROSSING; MICROWAVE CAVITIES;

QUANTUM THEORY;

EID: 0342538622     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.787     Document Type: Article

References (22)

1. R. G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966).
2. M. V. Berry, Quantum Chaos, edited by G. Casati (Plenum. London, 1985); Proc. R. Soc. London A 239, 45 (1983).
3. M. V. Berry, Quantum Chaos, edited by G. Casati (Plenum. London, 1985); Proc. R. Soc. London A 239, 45 (1983).
4. T. Kato, Perturbation Theory of Linear Operators (Springer, Berlin, 1966).
5. J. von Neumann and E. Wigner, Z. Phys. 30, 467 (1929).
6. W. D. Heiss and A. L. Sannino, J. Phys. A 23, 1167 (1990); Phys. Rev. A 43, 4159 (1991).
7. W. D. Heiss and A. L. Sannino, J. Phys. A 23, 1167 (1990); Phys. Rev. A 43, 4159 (1991).
8. W. D. Heiss, Eur. Phys. J. D 7, 1 (1999); Phys. Rev. E 61, 929 (2000).
9. W. D. Heiss, Eur. Phys. J. D 7, 1 (1999); Phys. Rev. E 61, 929 (2000).
10. O. Latinne et al., Phys. Rev. Lett. 74, 46 (1995).
11. H.-J. Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, Cambridge, England, 1999).
12. A. Richter, in Emerging Applications of Number Theory, The IMA Volumes in Mathematics and Its Applications Vol. 109, edited by D. A. Hejhal et al. (Springer, New York, 1999), p. 479.
13. L. C. Maier, Jr. and J.C. Slater, J. Appl. Phys. 23, 1352 (1968).
14. J. Stein and H.-J. Stöckmann, Phys. Rev. Lett. 68, 2867 (1992).
15. S. Sridhar, D. O. Hogenboom, and B. A. Willemsen, J. Stat. Phys. 68, 239 (1992).
16. C. Dembowski et al., Phys. Rev. Lett. 84, 867 (2000).
17. λ+1 has recently been discussed by P. v. Brentano and M. Philipp [Phys. Lett. B 454, 171 (1999)] and experimentally observed by M. Philipp et al. [Phys. Rev. E 62, 1922 (2000)].
18. λ+1 has recently been discussed by P. v. Brentano and M. Philipp [Phys. Lett. B 454, 171 (1999)] and experimentally observed by M. Philipp et al. [Phys. Rev. E 62, 1922 (2000)].
19. T. Weiland, Numer. Modelling 9, 295 (1996).
20. H. Alt et al., Phys. Lett. B 366, 7 (1996).
21. M. V. Berry and M. Wilkinson, Proc. R. Soc. London A 392, 15 (1984).
22. H.-M. Lauber, P. Weidenhammer, and D. Dubbers, Phys. Rev. Lett. 72, 1004 (1994).