Perturbation hydrogen-atom spectrum in a space with the Lorentz-covariant deformed algebra with minimal length

Journal of Physical Studies

Volumn 14, Issue 1, 2010, Pages

  Samar, M I ^a   Tkachuk, V M ^a  

^a IVAN FRANKO NATIONAL UNIVERSITY OF LVIV   (Ukraine)

Author keywords

Deformed algebras; Dirac equation; Hydrogen atom; Minimal length

Indexed keywords

EID: 77955016115     PISSN: 10274642     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. D. J. Gross, P. F. Mende, Nucl. Phys. B 303, 407 (1988).
2. M. Maggiore, Phys. Lett. B 304, 65 (1993).
3. E. Witten, Phys. Today 49, 24 (1996).
4. A. Kempf, J. Math. Phys. 35, 4483 (1994).
5. A. Kempf, G. Mangano, R. B. Mann, Phys. Rev. D 52, 1108 (1995).
6. H. Hinrichsen, A Kempf, J. Math. Phys. 37, 2121 (1996).
7. A. Kempf, J. Phys. A: Math. Gen. 30, 2093 (1997).
8. H. S. Snyder, Phys. Rev. 71, 38 (1947).
9. H. S. Snyder, Phys. Rev. 72, 68 (1947).
10. C. N. Yang, Phys. Rev. 72, 874 (1947).
11. E. J. Hellund, K. Tanaka, Phys. Rev. 94, 192 (1954).
12. E. Fischbach, Phys. Rev. B 137, 642 (1965).
13. M. R. Hamilton, G. Sandri, Phys. Rev. D 8, 1788 (1973).
14. C. Quesne, V. M. Tkachuk, J. Phys. A 39, 10909 (2006).
15. T. Fityo, Phys. Lett. A 372, 5872 (2008).
16. T. V. Fityo, I. O. Vakarchuk, V. M. Tkachuk, J. Phys. A: Math. Gen. 39,379 (2006).
17. F. Brau, J. Phys. A 32, 7691 (1999).
18. R. Akhoury, Y-P. Yao, Phys. Lett. B 572, 37 (2003).
19. S. Benczik, L. N. Chang, D. Minic, T. Takeuchi, Phys. Rev. A 72, 012104 (2005).
20. M. M. Stetsko, V. M. Tkachuk, Phys. Rev. A 74, 012101 (2006).
21. M. M. Stetsko, Phys. Rev. A 74, 062105 (2006).
22. V. A. Fock, Fundamentals of Quantum mechanics (Mir Publishers, Moscow, 1983) [Translation from the 2-nd edition].