Quasi-exactly solvable problems and random matrix theory

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 215, Issue 3-4, 1996, Pages 167-175

  Cicuta, G M ^a,b   Ushveridze, A G ^c  

^a UNIVERSITY OF PARMA   (Italy)

^b INFN SEZIONE DI ROMA   (Italy)

^c UNIVERSITY OF LODZ   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EXPANSION; QUANTUM THEORY; RANDOM VARIABLES;

COMPLEX MATRICES; RANDOM MATRIX MODEL; RANDOM MATRIX THEORY;

MATRIX ALGEBRA;

EID: 4243648793     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/0375-9601(96)00244-7     Document Type: Article

References (24)

1. D. Bessis, Comm. Math. Phys. 69 (1979) 147.
2. L. Alvarez-Gaume, Helv. Phys. Acta 64 (1991) 359.
3. D.J. Gross, T. Piran and S. Weinberg, eds., Two-dimensional quantum gravity and random surfaces, 8th Jerusalem Winter School for Theoretical Physics (World Scientific, Singapore, 1992).
4. Y. Lozano and J.L. Manes, Introduction to nonperturbative quantum gravity, Fortschr. Phys. 41 (1993) 45.
5. G. Szegö, Orthogonal polynomials, Colloquium Publications, no. 23 (Amer. Math. Soc., New York, 1939).
6. L. Molinari, J. Phys. A 21 (1988) 1.
7. S. Flügge. Practical quantum mechanics (Springer, Berlin, 1971).
8. A.G. Ushveridze, Quasi-exactly solvable problems in quantum mechanics (IOP, Bristol, 1994).
9. M.L. Metha, Random matrices and statistical theory of energy levels (Academic, New York, 1967).
10. O.V. Zaslavsky and V.V. Ulyanov, Sov. Phys. JETP 60 (1984) 991.
11. V.G. Bagrov and A.S. Vshivtsev, preprint N31, Siberian Division of AS USSR, Tomsk (1986).
12. A.V. Turbiner and A.G. Ushveridze, Phys. Lett. A 126 (1987) 181.
13. A.G. Ushveridze, Sov. Phys. Lebedev Inst. Rep. 2 (1988) 50.
14. A.V. Turbiner, Comm. Math. Phys. 118 (1988) 467.
15. T.R. Morris, Nucl. Phys. B 356 (1991) 703.
16. D.J. Gross and A.A. Migdal, Nucl. Phys. B 340 (1990) 333.
17. A. Barbieri, G.M. Cicuta and L. Molinari, Nuovo Cimento A 84 (1984) 173.
18. G.M. Cicuta, L. Molinari, E. Montaldi and F. Riva, J. Math. Phys. 28 (1987) 1716.
19. H.H. Simonis, University of Freiburg, Preprint THEP 86/3 (1986).
20. R.C. Myers and V. Periwal, Nucl. Phys. B 390 (1993) 716.
21. G.M. Cicuta, S. Stramaglia and A.G. Ushveridze, Mod. Phys. Lett. A 11 (1996) 119.
22. P.G. Silvestrov, Phys. Lett. B 276 (1992) 445.
23. P.G. Silvestrov, Int. J. Mod. Phys. A 7 (1992) 7401.
24. E. Marinari and G. Parisi, Phys. Lett. B 240 (1990) 375.