Tridiagonal PI-symmetric N-by-N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime

Journal of Physics A: Mathematical and Theoretical

Volumn 40, Issue 43, 2007, Pages 13131-13148

  Znojil, Miloslav ^a  

^a NUCLEAR PHYSICS INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35648991464     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/43/020     Document Type: Article

References (42)

1. Kato T 1966 Perturbation Theory for Linear Operators (Berlin: Springer)
2. Ben-Aryeh Y and Barak R 2006 Phys. Lett. A 351 388
3. Bender C M 2007 Rep. Prog. Phys. 70 947
4. Geger H, Heiss D and Znojil M (ed) 2006 J. Phys. A: Math. Gen. 39 ((32))
5. Znojil M (ed) 2006 Czech. J. Phys. 56 ((9))
6. Mostafazadeh A 2002 J. Math. Phys. 43 205
7. Mostafazadeh A 2002 J. Math. Phys. 43 2814
8. Mostafazadeh A 2002 J. Math. Phys. 43 3944
9. Solombrino L 2002 J. Math. Phys. 43 5439
10. Znojil M 2007 J. Phys. A: Math. Theor. 40 4863
11. Znojil M 2007 Phys. Lett. B 650 440
12. Wilkinson J H 1965 The Algebraic Eigenvalue Problem (Oxford: Clarendon)
13. Bender C M, Brody D C and Jones H F 2002 Phys. Rev. Lett. 89 0270401
14. Wang Q-H 2004 Czech. J. Phys. 54 143
15. Mostafazadeh A and Ozcelik S 2006 Turk. J. Phys. 30 437
16. Znojil M and Geyer H B 2006 Phys. Lett. B 640 52
17. Znojil M and Geyer H B 2007 Phys. Lett. B 649 494 (erratum)
18. Znojil M 2007 Phys. Lett. B 647 225
19. Scholtz F G, Geyer H B and Hahne F J W 1992 Ann. Phys. (NY) 213 74
20. Bender C M and Boettcher S 1998 Phys. Rev. Lett. 80 5243
21. Kirillov O and Günther U 2006 J. Phys. A: Math. Gen. 39 10057
22. Heiss D 2006 J. Phys. A: Math. Gen. 39 10077
23. Znojil M 2007 Phys. Lett. A 367 300
24. Caliceti E, Graffi S and Maioli M 1980 Commun. Math. Phys. 75 51
25. Buslaev V and Grecchi V 1993 J. Phys. A: Math. Gen. 26 5541
26. Alvarez G 1995 J. Phys. A: Math. Gen. 27 4589
27. Fernndez F M, Guardiola R, Ros J and Znojil M 1998 J. Phys. A: Math. Gen. 31 10105
28. Delabaere E and Pham F 1998 Phys. Lett. A 250 25
29. Bender C M and Milton K A 1997 Phys. Rev. D 55 R3255
30. Bender C M, Boettcher S and Meisinger P N 1999 J. Math. Phys. 40 2201
31. Dorey P, Dunning C and Tateo R 2001 J. Phys. A: Math. Gen. 34 L391
32. Dorey P, Dunning C and Tateo R 2001 J. Phys. A: Math. Gen. 34 5679
33. Shin K C 2002 Commun. Math. Phys. 229 543
34. Mostafazadeh A and Batal A 2004 J. Phys. A: Math. Gen. 37 11645
35. Mostafazadeh A 2006 J. Phys. A: Math. Gen. 39 13495
36. Curtright T and Veitia A 2007 Preprint quant-ph/0701006v2 (J. Math. Phys. at press)
37. Lévai G and Znojil M 2001 Mod. Phys. Lett. A 16 1973
38. Znojil M and Lévai G 2001 Mod. Phys. Lett. A 16 2273
39. Khare A and Sukhatme U 2005 J. Math. Phys. 46 082106
40. Dorey P, Millican-Slater A and Tateo R 2005 J. Phys. A: Math. Gen. 38 1305
41. Sinha A and Roy P 2006 J. Phys. A: Math. Gen. 39 L377
42. Fring A 2006 Mod. Phys. Lett. A 21 691