Linear representation of energy-dependent Hamiltonians

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 326, Issue 1-2, 2004, Pages 70-76

  Znojil, Miloslav ^a  

^a NUCLEAR PHYSICS INSTITUTE   (Czech Republic)

Author keywords

02.30.Tb; 03.65.Ca; 03.65.Db; 03.65.Ge; Energy dependent Hamiltonians; Quasi Hermitian linear representation

Indexed keywords

MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES; QUANTUM THEORY; VARIATIONAL TECHNIQUES;

02.30.TB; 03.65.CA; 03.65.DB; 03.65.GE; ENERGY DEPENDENT; LINEAR REPRESENTATION;

HAMILTONIANS;

ARTICLE; ENERGY; LINEAR SYSTEM; MATHEMATICAL COMPUTING; MODEL; QUANTUM MECHANICS;

EID: 2442549447     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2004.04.036     Document Type: Article

References (56)

1. Wigner E.P. Rev. Mod. Phys. 29:1957;255
2. Hilgevoord J. Am. J. Phys. 70:2002;301. with further references
3. Šeba P. Phys. Rev. A. 41:1990;2306
4. Dittrich J., Duclos P. J. Phys. A. 35:2002;8213. with further references
5. Feshbach H. Ann. Phys. (N.Y.). 5:1958;357
6. Navrátil P., Geyer H.B., Kuo T.T.S. Phys. Lett. B. 315:1993;1. with further references
7. Kumar K. Perturbation Theory and the Nuclear Many Body Problem. 1962;North-Holland, Amsterdam
8. Fernández F.M. Introduction to Perturbation Theory in Quantum Mechanics. 2001;CRC Press, Boca Raton, FL
9. Formánek J., Lombard R.J., Mareš J. Czech. J. Phys. 54:2004;289
10. H. Bíla, Pseudo-Hermitian Hamiltonians in quantum theory, Diploma Thesis, Charles University, Prague, April 2004, Chapter 2 (in Czech), unpublished
11. Znojil M. Czech. J. Phys. B. 30:1980;488
12. Bydžovský P., Sotona M. Czech. J. Phys. 48:1998;903. with references
13. Znojil M., Bíla H., Jakubský V. quant-ph/0312148
14. Weise W. Nucl. Phys. A. 278:1977;402
15. Serot B.D., Walecka J.D. Adv. Nucl. Phys. 16:1986;1
16. Friedman E., Gal A., Mareš J. Nucl. Phys. A. 625:1997;272. with references
17. Lichard P. Phys. Rev. D. 55:1997;5385
18. Lichard P. Phys. Rev. D. 60:1999;053007
19. Bethe H.A., Salpeter E.F. Quantum Theory of One- and Two-Electron Systems. Handbuch der Physik, Band XXXV, Atome I. 1957;Springer-Verlag, Berlin
20. Hirata M., Lenz F., Yazaki K. Ann. Phys. (N.Y.). 108:1977;116
21. Cooper E.D., Jennings B.K., Mareš J. Nucl. Phys. A. 580:1994;419
22. Messiah A. Quantum Mechanics II. 1961;North-Holland, Amsterdam
23. Znojil M. Phys. Lett. A. 259:1999;220
24. Bagchi B., Quesne C., Znojil M. Mod. Phys. Lett. A. 16:2001;2047
25. Znojil M. Rend. Circ. Mat. Palermo Ser. II Suppl. 72:2004;211
26. Weigert S. Czech. J. Phys. 54:2004;147
27. Ushveridze A.G. Quasi-Exactly Solvable Models in Quantum Mechanics. 1994;IOP, Bristol
28. Singh V., Biswas S.N., Datta K. Phys. Rev. D. 18:1978;1901
29. Cannata F., Ioffe M., Roychoudhury R., Roy P. Phys. Lett. A. 281:2001;305
30. M. Znojil, New types of solvability in PT symmetric quantum theory, in: Proceedings of Workshop on Superintegrability in Classical and Quantum Systems, 16-21 September, 2002, Montreal, Canada, in press
31. Azizov T.Ya., Iokhvidov I.S. Linear Operators in Spaces with Indefinite Metric. 1989;Wiley, Chichester
32. Scholtz F.G., Geyer H.B., Hahne F.J.W. Ann. Phys. (N.Y.). 213:1992;74
33. Dirac P.A.M. Proc. R. Soc. London Ser. A. 180:1942;1
34. Pauli W. Rev. Mod. Phys. 15:1943;175
35. Feshbach H., Villars F. Rev. Mod. Phys. 30:1958;24
36. Bender C.M., Milton K.A. Phys. Rev. D. 55:1997;R3255
37. Ramirez A., Mielnik B. Rev. Mexicana Fis. 49:(2):2003;130. giving a concise history of the subject
38. Robnik M., Berry M.V. J. Phys. A: Math. Gen. 19:1986;669
39. Hatano N., Nelson D.R. Phys. Rev. Lett. 77:1996;570
40. Heiss W.D., Harney H.L. Eur. Phys. J. D. 17:2001;149
41. Bender C.M., Boettcher S. Phys. Rev. Lett. 80:1998;4243
42. Dorey P., Dunning C., Tateo R. J. Phys. A: Math. Gen. 34:2001;5679
43. Bender C.M., Brody D.C., Jones H.F. Phys. Rev. Lett. 89:2002;270401
44. Bender C.M., Meisinger P.N., Wang Q. J. Phys. A: Math. Gen. 36:2003;1973
45. Caliceti E., Graffi S., Maioli M. Commun. Math. Phys. 75:1980;51
46. Buslaev V., Grecchi V. J. Phys. A: Math. Gen. 26:1993;5541
47. Cannata F., Junker G., Trost J. Phys. Lett. A. 246:1998;219
48. Fernández F.M., Guardiola R., Ros J., Znojil M. J. Phys. A: Math. Gen. 31:1998;10105
49. Lévai G., Cannata F., Ventura A. Phys. Lett. A. 300:2002;271
50. Lévai G., Cannata F., Ventura A. J. Phys. A: Math. Gen. 35:2002;5041
51. Mostafazadeh A. J. Math. Phys. 43:2002;205
52. Mostafazadeh A. J. Math. Phys. 43:2002;2814
53. Mostafazadeh A. J. Math. Phys. 43:2002;3944
54. Mostafazadeh A. Czech. J. Phys. 53:2003;1079
55. Mostafazadeh A. Phys. Lett. A. 320:2004;375
56. Collection of all 20 papers in Nr. 1 of Czech. J. Phys. 54:2004;1-156