Algebraic solution of the supersymmetric hydrogen atom in d dimensions

Annals of Physics

Volumn 303, Issue 2, 2003, Pages 359-388

  Kirchberg, A ^a   Lange J D ^a   Pisani, P A G ^b   Wipf, A ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^b NONE

Author keywords

Dynamical symmetry; Hydrogen atom; Laplace Runge Lenz vector; Supersymmetric quantum mechanics

Indexed keywords

EID: 0037302844     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0003-4916(03)00003-4     Document Type: Review

References (27)

1. J. Hermann, G. Letterati D'Italia 2 (1710) 447
2. J. Bernoulli, Histoires de L'Academie Royale des Sciences avec les Mémoires de Mathematique et Physique (1712) 523
3. P.S. de Laplace, Traité de mécanique celeste Paris An VII pp. 1798-1799
4. C. Runge, Vektoranalysis, vol. 1, Hirzel, Leipzig, 1919
5. W. Lenz, Z. Phys. 24 (1924) 197.
6. H. Goldstein, Am. J. Phys. 43 (1975) 737; Am. J. Phys, 44 (1976) 1123.
7. W. Pauli, Z. Phys. 36 (1926) 336;
8. L. Hulthén, Z. Phys. 86 (1933) 21
9. V. Bargmann, Z. Phys. 99 (1936) 576.
10. V. Fock, Z. Phys. 98 (1935) 145.
11. D. Zwanziger, J. Math. Phys. 8 (1967) 1858.
12. S.P. Alliluev, Soviet Phys. JETP 6 (1958) 156.
13. M. Bander, C. Itzykson, Rev. Modern Phys. 38 (1966) 330.
14. J.F. Cornwell, Group Theory in Physics, vol. 2, Academic Press, London, 1984.
15. E. Witten, J. Differential Geom. 17 (1982) 661.
16. E. Witten, Nucl. Phys. B 188 (1981) 513.
17. H. Nicolai, J. Phys. A 9 (1976) 1497.
18. F. Cooper, A. Khare, R. Musto, A. Wipf, Ann. Phys. 187 (1988) 1.
19. A.A. Andrianov, N.V. Borisov, M.V. Ioffe, Phys. Lett. A 105 (1984) 19.
20. W.G. McKay, J. Patera, Tables of Dimensions, Indices, and Branching Rules for Representations of Simple Lie Algebras, Lecture Notes in Pure and Appl. Math., vol. 69, Dekker, New York, 1981.
21. R. Heumann, J. Phys. A 35 (2002) 7437.
22. M. Hamermesh, Group Theory and its Application to Physical Problems, Dover, New York, 1962.
23. J.E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer, New York, 1972.
24. V.S. Varadarajan, Lie Groups, Lie Algebras, and their Representations, Graduate Texts in Mathematics, vol. 102, Springer, New York, 1984.
25. M. van Leeuwen, A. Cohen, B. Lisser, LiE 2.1 Manual, Computer Algebra Group of CWI, Amsterdam.
26. G.W. Gibbons, R.H. Rietdijk, J.W. van Holten, Nucl. Phys. B 404 (1993) 42.
27. E.C.G. Sudarshan, N. Mukunda, L. O'Raifeartaigh, Phys. Lett. 19 (1965) 322.