A realization of dynamic group for an electron in a uniform magnetic field

International Journal of Modern Physics E

Volumn 11, Issue 4, 2002, Pages 265-271

  Dong, Shishan ^a   Dong, Shi Hai ^b  

^a DALIAN UNIVERSITY   (China)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Ladder operators; Matrix elements; SU(1,1) group

Indexed keywords

EID: 0036669878     PISSN: 02183013     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218301302000831     Document Type: Article

References (15)

1. W. Gough, Eur. J. Phys. 8, 164 (1987).
2. R.H. Dicke and J.P. Wittke, Introduction to Quantum Mechanics (Reading, MA, Addison-Wesley, 1963).
3. L. Page, Phys. Rev. 36, 444 (1930).
4. L.D. Landau and E.M. Lifshitz, Quantum Mechanics, Non-relativistic Theory (3rd Edn.) (Pergamon, Oxford, 1976).
5. E. Schrödinger, Pro. R. Irish Acad. A46(9), 183 (1940).
6. L. Infeld and T.E. Hull, Rev. Mod. Phys. 23, 21 (1951).
7. G. Haidinger, N. Bessis and G. Bessis, J. Math. Phys. 15, 716 (1974).
8. S.-H. Dong, R. Lemus and A. Frank, Int. J. Quan. Chem. 86, 433 (2002).
9. S.-H. Dong and R. Lemus, Int. J. Quan. Chem. 86, 265 (2002).
10. S.-H. Dong and Z.-Q. Ma, Am. J. Phys. 70, 520 (2002).
11. S.-H. Dong and Z.-Q. Ma, Int. J. Mod. Phys. E11(2), 155 (2002).
12. M. Berrondo and A. Palma, J. Phys. A13, 773 (1980).
13. Z.X. Wang and D.R. Guo, Special Functions (World Scientific, Singapore, 1989).
14. I.S. Gradshteyn and I.M. Ryzhik, Tables of Integrals, Series and Products (5th Edn.) (Academic Press, New York, 1994).
15. B.G. Adams, J. Cizek and J. Paldus, Advances in Quantum Chemistry, Vol. 19, Per-Olov Löwdin (ed.) (Academic Press, New York, 1987).