Supersymmetry and models for two kinds of interacting particles

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 4, 2005, Pages

  Guhr, Thomas ^a   Kohler, Heiner ^b  

^a LUND INSTITUTE OF TECHNOLOGY   (Sweden)

^b INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

HERMITIAN SUPERMATRICES; INTERACTING PARTICLES; SPATIAL DIRECTION; WAVE FUNCTIONS;

EIGENVALUES AND EIGENFUNCTIONS; ELECTRONS; FUNCTIONS; HAMILTONIANS; MATHEMATICAL MODELS; QUANTUM THEORY;

HIGH ENERGY PHYSICS;

EID: 41349097452     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.045102     Document Type: Article

References (29)

1. F. Calogero, J. Math. Phys. 10, 2191 (1969).
2. B. M. Sutherland, Phys. Rev. A 5, 1372 (1972).
3. F. J. Dyson, J. Math. Phys. 1, 1191 (1962).
4. M. A. Olshanetsky and A. M. Perelomov, Phys. Rep. 94, 313 (1983).
5. F. Calogero, Many-Body Problems Amenable to Exact Treatments (Springer, Berlin, 2001).
6. M. V. Ioffe and A. I. Neelov, J. Phys. A 33, 1581 (2000).
7. P. Desrosiers, L. Lapointe, and P. Mathieu, Nucl. Phys. B 606, 547 (2001).
8. A. N. Sergeev and A. P. Veselov, Commun. Math. Phys. 245, 249 (2004).
9. A. N. Sergeev, J. Nonlinear Math. Phys. 8, 59 (2001).
10. P. K. Gosh, Phys. Lett. A 229, 203 (1997).
11. A. Khare, Phys. Lett. A 245, 14 (1998).
12. P. Forrester, J. Phys. A 25, L607 (1992).
13. S. Meljanac, M. Milekovic, A. Samsarov, and M. Stojic, Mod. Phys. Lett. B 18, 603 (2004).
14. F. A. Berezin, in Introduction to Superanalysis, edited by A. A. Kirillov, Mathematical Physics and Applied Mathematics, Vol. 9 (D. Reidel, Dordrecht, 1987).
15. K. B. Efetov, Adv. Phys. 32, 53 (1983).
16. T. Guhr, J. Math. Phys. 32, 336 (1991).
17. V. C. Kac, Commun. Math. Phys. 53, 31 (1977).
18. T. Guhr, Ann. Phys. (N.Y.) 250, 145 (1996).
19. M. R. Zirnbauer, J. Math. Phys. 37, 4986 (1996).
20. V. C. Kac, Adv. Math. 26, 8 (1977).
21. T. Guhr, Commun. Math. Phys. 176, 555 (1996).
22. T. Guhr and H. Kohler, J. Math. Phys. 43, 2741 (2002).
23. C. Kittel, Introduction to Solid State Physics, 3rd ed. (Wiley, New York, 1968).
24. T. Guhr and H. Kohler, J. Math. Phys. 45, 3636 (2004).
25. A. Bohr and B. R. Mottelson, Nuclear Structure I (Benjamin, New York, 1969).
26. T. Guhr and H. Kohler, J. Math. Phys. 43, 2707 (2002).
27. T. Guhr and H. Kohler, e-print math-ph/0011007.
28. D. A. Perkins, Introduction to High Energy Physics, 4th ed. (Cambridge University Press, Cambridge, 2000).
29. F. Iachello and P. Van Isacker, The Interacting Boson-Fermion Model (Cambridge University Press, Cambridge, 1991).