Non-hermitian hamiltonians with a real spectrum and their physical applications

Pramana - Journal of Physics

Volumn 73, Issue 2, 2009, Pages 269-277

  Mostafazadeh, Ali ^a  

^a KOÇ UNIVERSITY   (Turkey)

Author keywords

Metric operator; Pseudo Hermiticity; PT symmetry; Resonance; Scattering potential; Spectral singularity; Unitary equivalence

Indexed keywords

METRIC OPERATOR; PSEUDO-HERMITICITY; PT SYMMETRY; SCATTERING POTENTIAL; SPECTRAL SINGULARITY; UNITARY EQUIVALENCE;

HAMILTONIANS; PHOTOTRANSISTORS; RESONANCE; SCATTERING;

PLATINUM COMPOUNDS;

EID: 69649092400     PISSN: 03044289     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12043-009-0118-4     Document Type: Conference Paper

References (37)

1. A Mostafazadeh, arXiv: 0810.5643, preprint.
2. C M Bender and S Boettcher, Phys. Rev. Lett. 80, 5243 (1998).
3. C M Bender, D C Brody and H F Jones, Phys. Rev. Lett. 89, 270401 (2002).
4. C M Bender, D C Brody and H F Jones, Phys. Rev. Lett., Erratum, ibid. 92, 119902 (2004).
5. Am. J. Phys. 71, 1095 (2003).
6. A Mostafazadeh, J. Math. Phys. 43, 2814 (2002).
7. F G Scholtz, H B Geyer and F J W Hahne, Ann. Phys. (N.Y.) 213, 74 (1992).
8. A Mostafazadeh, J. Math. Phys. 43, 3944 (2002).
9. A Mostafazadeh, J. Math. Phys. 44, 974 (2003).
10. A Mostafazadeh, J. Phys. A41, 055304 (2008).
11. A Mostafazadeh, J. Math. Phys. 43, 205 (2002).
12. A Mostafazadeh, J. Phys. A36, 7081 (2003).
13. A Mostafazadeh and A Batal, J. Phys. A37, 11645 (2004).
14. A Mostafazadeh, Czech. J. Phys. 54, 1125 (2004).
15. C M Bender, Rep. Prog. Phys. 70, 947 (2007).
16. Because metric operators are by definition positive, they can always be expressed in this form.
17. A Mostafazadeh, J. Math. Phys. 47, 072103 (2006).
18. A Mostafazadeh and H Mehri-Dehnavi, J. Phys. A42, 125303 (2009).
19. W D Heiss, J. Phys. A37, 2455 (2004).
20. M V Berry, J. Mod. Opt. 50, 63 (2003).
21. Czech. J. Phys. 54, 1039 (2004).
22. C Dembowski, B Dietz, H-D Gräf, H L Harney, A Heine, W D Heiss and A Richter, Phys. Rev. E69, 056216 (2004).
23. A A Mailybaev, O N Kirillov and A P Seyranian, Phys. Rev. A72, 014104 (2005).
24. H Mehri-Dehnavi and A Mostafazadeh, J. Math. Phys. 49, 082105 (2008).
25. M A Naimark, Trudy Moscov. Mat. Obsc. 3, 181 (1954) (in Russian).
26. English translation: Amer. Math. Soc. Transl. (2), 16, 103 (1960).
27. R R D Kemp, Canadian J. Math. 10, 447 (1958).
28. J Schwartz, Comm. Pure Appl. Math. 13, 609 (1960).
29. V É Ljance, Mat. Sb. 64(106), 521 (1964); 65(107), 47 (1964) (in Russian), English translation: Amer. Math. Soc. Trans. 60, 185 (1967); 227 (1967).
30. M A Naimark, Linear di® erential operators, Part II (Ungar, New York, 1968).
31. B F Samsonov, J. Phys. A38, L397 (2005); L571 (2005).
32. A Mostafazadeh, J. Phys. A39, 13506 (2006).
33. H Uncu and E Demiralp, Phys. Lett. A359, 190 (2006).
34. A Mostafazadeh, arXiv: 0901.4472, preprint; Phys. Rev. Lett. 102, 220402 (2009).
35. J G Muga, J P Palao, B Navarro and I L Egusquiza, Phys. Rep. 395, 357 (2004).
36. r arises from the fact that the delta function potential is even (P-symmetric) Rr arises from the fact that the delta function potential is even (P-symmetric).
37. Z Ahmed, Phys. Rev. A64, 042716 (2001).