Quantum oscillator on ℂPn in a constant magnetic field

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 8, 2004, Pages

  Bellucci, Stefano ^a   Nersessian, Armen ^b,c   Yeranyan, Armen ^b  

^a INFN LABORATORI NAZIONALI DI FRASCATI   (Italy)

^b YEREVAN STATE UNIVERSITY   (Armenia)

^c YEREVAN PHYSICS INSTITUTE   (Armenia)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ENERGY TRANSFER; MAGNETIC FIELD; MATHEMATICAL MODEL; MOTION; OSCILLATOR; QUANTUM MECHANICS;

EID: 84927725099     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.085013     Document Type: Article

References (29)

1. P. W. Higgs, J. Phys. A 12, 309 (1979); H. I. Leemon, J. Phys. A 12, 489 (1979).
2. P. W. Higgs, J. Phys. A 12, 309 (1979); H. I. Leemon, J. Phys. A 12, 489 (1979).
3. A. Barut, A. Inomata, and G. Junker, J. Phys. A 20, 6271 (1987); J. Phys. A 23, 1179 (1990); D. Bonatos, C. Daskaloyannis, and K. Kokkotas, Phys. Rev. A 50, 3700 (1994); C. Grosche, G. S. Pogosyan, and A. N. Sissakian, Fortschr. Phys., 43(6), 523 (1995); E. G. Kalnins, W. J. Miller, and G. S. Pogosyan, Phys. At Nucl. 65, 1086 (2002).
4. A. Barut, A. Inomata, and G. Junker, J. Phys. A 20, 6271 (1987); J. Phys. A 23, 1179 (1990); D. Bonatos, C. Daskaloyannis, and K. Kokkotas, Phys. Rev. A 50, 3700 (1994); C. Grosche, G. S. Pogosyan, and A. N. Sissakian, Fortschr. Phys., 43(6), 523 (1995); E. G. Kalnins, W. J. Miller, and G. S. Pogosyan, Phys. At Nucl. 65, 1086 (2002).
5. A. Barut, A. Inomata, and G. Junker, J. Phys. A 20, 6271 (1987); J. Phys. A 23, 1179 (1990); D. Bonatos, C. Daskaloyannis, and K. Kokkotas, Phys. Rev. A 50, 3700 (1994); C. Grosche, G. S. Pogosyan, and A. N. Sissakian, Fortschr. Phys., 43(6), 523 (1995); E. G. Kalnins, W. J. Miller, and G. S. Pogosyan, Phys. At Nucl. 65, 1086 (2002).
6. A. Barut, A. Inomata, and G. Junker, J. Phys. A 20, 6271 (1987); J. Phys. A 23, 1179 (1990); D. Bonatos, C. Daskaloyannis, and K. Kokkotas, Phys. Rev. A 50, 3700 (1994); C. Grosche, G. S. Pogosyan, and A. N. Sissakian, Fortschr. Phys., 43(6), 523 (1995); E. G. Kalnins, W. J. Miller, and G. S. Pogosyan, Phys. At Nucl. 65, 1086 (2002).
7. A. Barut, A. Inomata, and G. Junker, J. Phys. A 20, 6271 (1987); J. Phys. A 23, 1179 (1990); D. Bonatos, C. Daskaloyannis, and K. Kokkotas, Phys. Rev. A 50, 3700 (1994); C. Grosche, G. S. Pogosyan, and A. N. Sissakian, Fortschr. Phys., 43(6), 523 (1995); E. G. Kalnins, W. J. Miller, and G. S. Pogosyan, Phys. At Nucl. 65, 1086 (2002).
8. S. Bellucci and A. Nersessian, Phys. Rev. D 67, 065013 (2003).
9. A. Nersessian and A. Yeranyan, J. Phys. A 37, 2791 (2004).
10. S. Bellucci, A. Nersessian, and A. Yeranyan, Phys. Rev. D 70, 045006 (2004).
11. S. Bellucci and A. Nersessian, hep-th/0401232.
12. S. C. Zhang and J. P. Hu, Science 294, 823 (2001).
13. D. Karabali and V. P. Nair, Nucl. Phys. B641, 533 (2002).
14. B. A. Bernevig, J. P. Hu, N. Toumbas, and S. C. Zhang, Phys. Rev. Lett. 91, 236803 (2003); M. Fabinger, J. High Energy Phys. 05 (2002) 037; S. Bellucci, P. Y. Casteill, and A. Nersessian, Phys. Lett. B 574, 121 (2003); D. Karabali and V. P. Nair. Nucl. Phys. B679, 427 (2004); K. Hasebe and Y. Kimura, hep-th/0310274; D. Karabali and V. P. Nair, hep-th/0403111.
15. B. A. Bernevig, J. P. Hu, N. Toumbas, and S. C. Zhang, Phys. Rev. Lett. 91, 236803 (2003); M. Fabinger, J. High Energy Phys. 05 (2002) 037; S. Bellucci, P. Y. Casteill, and A. Nersessian, Phys. Lett. B 574, 121 (2003); D. Karabali and V. P. Nair. Nucl. Phys. B679, 427 (2004); K. Hasebe and Y. Kimura, hep-th/0310274; D. Karabali and V. P. Nair, hep-th/0403111.
16. B. A. Bernevig, J. P. Hu, N. Toumbas, and S. C. Zhang, Phys. Rev. Lett. 91, 236803 (2003); M. Fabinger, J. High Energy Phys. 05 (2002) 037; S. Bellucci, P. Y. Casteill, and A. Nersessian, Phys. Lett. B 574, 121 (2003); D. Karabali and V. P. Nair. Nucl. Phys. B679, 427 (2004); K. Hasebe and Y. Kimura, hep-th/0310274; D. Karabali and V. P. Nair, hep-th/0403111.
17. B. A. Bernevig, J. P. Hu, N. Toumbas, and S. C. Zhang, Phys. Rev. Lett. 91, 236803 (2003); M. Fabinger, J. High Energy Phys. 05 (2002) 037; S. Bellucci, P. Y. Casteill, and A. Nersessian, Phys. Lett. B 574, 121 (2003); D. Karabali and V. P. Nair. Nucl. Phys. B679, 427 (2004); K. Hasebe and Y. Kimura, hep-th/0310274; D. Karabali and V. P. Nair, hep-th/0403111.
18. B. A. Bernevig, J. P. Hu, N. Toumbas, and S. C. Zhang, Phys. Rev. Lett. 91, 236803 (2003); M. Fabinger, J. High Energy Phys. 05 (2002) 037; S. Bellucci, P. Y. Casteill, and A. Nersessian, Phys. Lett. B 574, 121 (2003); D. Karabali and V. P. Nair. Nucl. Phys. B679, 427 (2004); K. Hasebe and Y. Kimura, hep-th/0310274; D. Karabali and V. P. Nair, hep-th/0403111.
19. B. A. Bernevig, J. P. Hu, N. Toumbas, and S. C. Zhang, Phys. Rev. Lett. 91, 236803 (2003); M. Fabinger, J. High Energy Phys. 05 (2002) 037; S. Bellucci, P. Y. Casteill, and A. Nersessian, Phys. Lett. B 574, 121 (2003); D. Karabali and V. P. Nair. Nucl. Phys. B679, 427 (2004); K. Hasebe and Y. Kimura, hep-th/0310274; D. Karabali and V. P. Nair, hep-th/0403111.
20. P. Kustaanheimo and E. Steifel, J. Reine Angew. Math. 218, 204 (1965); see, also the review V. Ter-Antonyan, quant-ph 0003106.
21. P. Kustaanheimo and E. Steifel, J. Reine Angew. Math. 218, 204 (1965); see, also the review V. Ter-Antonyan, quant-ph 0003106.
22. D. Zwanziger, Phys. Rev. 176, 1480 (1968); H. V. McIntosh and A. Cisneros, J. Math. Phys. (N.Y.) 11, 896 (1970).
23. D. Zwanziger, Phys. Rev. 176, 1480 (1968); H. V. McIntosh and A. Cisneros, J. Math. Phys. (N.Y.) 11, 896 (1970).
24. A. Nersessian and G. Pogosyan, Phys. Rev. A 63, 020103(R) (2001).
25. S. Bellucci, A. Nersessian, and C. Sochichiu, Phys. Lett B 522, 345 (2001).
26. S. Bellucci and A. Nersessian, Phys. Lett. B 542, 295 (2002).
27. V. P. Nair and A. P. Polychronakos, Phys. Lett. B 505, 267 (2001).
28. R. Iengo and R. Ramachandran, J. High Energy Phys. 02 (2002) 017; D. Karabali, V. P. Nair, and A. P. Polychronakos, Nucl. Phys. B627, 565 (2002).
29. R. Iengo and R. Ramachandran, J. High Energy Phys. 02 (2002) 017; D. Karabali, V. P. Nair, and A. P. Polychronakos, Nucl. Phys. B627, 565 (2002).