Quantum systems: Real spectra and nonhermitian (Hamiltonian) operators

Reports on Mathematical Physics

Volumn 51, Issue 2-3, 2003, Pages 275-285

  Marmo, G ^a   Simoni, A ^a   Ventriglia, F ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Bi Hamiltonian; Nonhermitian operators; Quantum systems

Indexed keywords

EID: 0038349511     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(03)80021-6     Document Type: Article

References (32)

1. N. Hatano and D. R. Nelson: Phys. Rev. Lett. 77 (1996), 570.
2. N. Hatano and D. R. Nelson: Phys. Rev. B 56 (1997), 8651.
3. J. Feinberg and A. Zee: Phys. Rev. E 59 (1999), 6433.
4. M. V. Berry and D. M. J. O'Dole: J. Phys. A 31 (1998), 2093.
5. C. M. Bender and S. Boettcher: Phys. Rev. Lett. 80 (1998), 5243.
6. C. M. Bender: Phys. Rep. 315 (1999), 27.
7. C. M. Bender, G. V. Dunne, P. N. Meisinger and M. Simsek: Phys. Lett. A 281 (2001), 311.
8. M. Znojil and M. Tatar: J. Phys. A: Math. Gen. 34 (2001), 1793.
9. Z. Ahmed: Phys. Lett. A 290 (2001), 19.
10. F. Cannata, G. Junker and J. Trost: Phys. Lett. A 245 (1998), 219.
11. F. Cannata, M. Jofte, R. Roychoudbury and P. Roy: Phys. Lett. A 281 (2001), 305.
12. C. M. Bender, M. V. Berry and Aikaterini Mandilara: J. Phys. A: Math. Gen. 35 (2002), L467.
13. A. Mostafazadeh: J. Math. Phys. 43 (2002), 205.
14. A. Mostafazadeh: J. Math. Phys. 43 (2002), 2814.
15. A. Mostafazadeh: J. Math. Phys. 43 (2002), 3944.
16. R. Abraham and J. E. Marsden: Foundations of Mechanics, 2nd ed., Addison-Wesley, Reading 1978.
17. J. F. Cariñena, G. Marmo, A. M. Perelomov and M. F. Ranada: Int. Jour. Mod. Phys. 13 A (1998), 4913.
18. G. Darboux: Comptes Rendus Acad. Sci. (Paris) 94 (1882), 1456.
19. L. Infeld and T. E. Hull: Rev. Mod. Phys. 23 (1951), 21.
20. G. Pisier: Similarity Problems and Completely Bounded Maps, 2nd ed., Springer, Berlin 2001.
21. B. A. Dubrovin, G. Marmo and A. Simoni: Mod. Phys. Lett. A 5 (1990), 1229.
22. J. F. Cariñena, J. Grabowski and G. Marmo: Int. Jour. Mod. Phys. A 15 (2000), 4797.
23. F. Ventriglia: Mod. Phys. Lett. A 17 (2002), 1589.
24. G. Marmo, G. Morandi, A. Simoni and F. Ventriglia: J. Phys. A: Math. Gen. 35 (2002), 8393.
25. J. F. Cariñena, L. A. Ibort, G. Marmo and A. Stern: Phys. Rep. 263 (1995), 153.
26. M. Giordano, G. Marmo and C. Rubano: Inverse Problems 9 (1993), 443.
27. G. Marmo and G. Vilasi: Mod. Phys. Lett. B 10 (1996), 545.
28. G. Marmo, A. Simoni and F. Ventriglia: Rep. Math. Phys. 48 (2001), 149.
29. G. Marmo: Acta Applicandae Mathematicae 70 (2002), 161.
30. G. Marmo, A. Simoni and F. Ventriglia: Rend. Circ. Mat. Palermo (Suppl.) 69 (2002), 19.
31. M. Reed and B. Simon: Methods of Modern Mathematical Physics, Vol. 1: Functional Analysis, Academic Press, N. Y. 1972.
32. V. I. Smirnov: A Course of Higher Mathematics. Vol. 3, Part 1, Linear Algebra, Pergamon Press, N. Y. 1964.