Two-body random ensembles: from nuclear spectra to random polynomials

Physical Review Letters

Volumn 85, Issue 18, 2000, Pages 3773-3776

  Kusnezov, Dimitri ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ENERGY GAP; GROUND STATE; MATRIX ALGEBRA; POLYNOMIALS; SPECTROSCOPY;

GAUSSIAN ORTHOGANAL ENSEMBLE; MANY BODY BASONIC THEORY; NUCLEAR SPECTROSCOPIC PROPERTIES; TWO BODY RANDOM ENSEMBLES;

NUCLEAR PHYSICS;

EID: 0034294402     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.3773     Document Type: Article

References (25)

1. R. Bijker and A. Frank, Phys. Rev. Lett. 84, 420 (2000); R. Bijker and A. Frank, Phys. Rev. C 62, 014303 (2000).
2. R. Bijker and A. Frank, Phys. Rev. Lett, 84, 420 (2000); R. Bijker and A. Frank, Phys. Rev. C 62, 014303 (2000).
3. C. Johnson, G. Bertsch, and D. Dean, Phys. Rev. Lett. 80, 2749 (1998); C. Johnson, G. Bertsch, D. Dean, and I. Talmi, Phys. Rev. C 61, 014311 (1999); R. Bijker, A. Frank, and S. Pittel. Phys. Rev. C 60, 021302 (1999).
4. C. Johnson, G. Bertsch, and D. Dean, Phys. Rev. Lett. 80, 2749 (1998); C. Johnson, G. Bertsch, D. Dean, and I. Talmi, Phys. Rev. C 61, 014311 (1999); R. Bijker, A. Frank, and S. Pittel. Phys. Rev. C 60, 021302 (1999).
5. C. Johnson, G. Bertsch, and D. Dean, Phys. Rev. Lett. 80, 2749 (1998); C. Johnson, G. Bertsch, D. Dean, and I. Talmi, Phys. Rev. C 61, 014311 (1999); R. Bijker, A. Frank, and S. Pittel. Phys. Rev. C 60, 021302 (1999).
6. D. Kusnezov, V. Zamfir, and R. Casten, Phys. Rev. Lett. 85, 1396 (2000).
7. P. F. Bortignon, M. Dalla Francesca, and V. Manfredi, Lett. Nuovo Cimento 19, 15 (1977); P. F. Bortignon, V. Manfredi, and S. Spitz, Lett. Nuovo Cimento 23, 219 (1978); V. K. B. Kota and V. Potbhare, Phys. Rev. C 21, 2637 (1980); V. Manfredi, Nuovo Cimento Soc. Ital. Fis. 64A, 101 (1981); 86A, 219 (1985).
8. P. F. Bortignon, M. Dalla Francesca, and V. Manfredi, Lett. Nuovo Cimento 19, 15 (1977); P. F. Bortignon, V. Manfredi, and S. Spitz, Lett. Nuovo Cimento 23, 219 (1978); V. K. B. Kota and V. Potbhare, Phys. Rev. C 21, 2637 (1980); V. Manfredi, Nuovo Cimento Soc. Ital. Fis. 64A, 101 (1981); 86A, 219 (1985).
9. P. F. Bortignon, M. Dalla Francesca, and V. Manfredi, Lett. Nuovo Cimento 19, 15 (1977); P. F. Bortignon, V. Manfredi, and S. Spitz, Lett. Nuovo Cimento 23, 219 (1978); V. K. B. Kota and V. Potbhare, Phys. Rev. C 21, 2637 (1980); V. Manfredi, Nuovo Cimento Soc. Ital. Fis. 64A, 101 (1981); 86A, 219 (1985).
10. P. F. Bortignon, M. Dalla Francesca, and V. Manfredi, Lett. Nuovo Cimento 19, 15 (1977); P. F. Bortignon, V. Manfredi, and S. Spitz, Lett. Nuovo Cimento 23, 219 (1978); V. K. B. Kota and V. Potbhare, Phys. Rev. C 21, 2637 (1980); V. Manfredi, Nuovo Cimento Soc. Ital. Fis. 64A, 101 (1981); 86A, 219 (1985).
11. P. F. Bortignon, M. Dalla Francesca, and V. Manfredi, Lett. Nuovo Cimento 19, 15 (1977); P. F. Bortignon, V. Manfredi, and S. Spitz, Lett. Nuovo Cimento 23, 219 (1978); V. K. B. Kota and V. Potbhare, Phys. Rev. C 21, 2637 (1980); V. Manfredi, Nuovo Cimento Soc. Ital. Fis. 64A, 101 (1981); 86A, 219 (1985).
12. K. Mon and J. B. French, Ann. Phys. (N. Y.) 95, 90 (1975); S. Wong and J. B. French, Nucl. Phys. A198, 188 (1972); O. Bohigas and J. Flores, Phys. Lett. 34B, 261 (1971); 35B, 383 (1971); J. B. French and S. Wong, Phys. Lett. 33B, 449 (1970).
13. K. Mon and J. B. French, Ann. Phys. (N. Y.) 95, 90 (1975); S. Wong and J. B. French, Nucl. Phys. A198, 188 (1972); O. Bohigas and J. Flores, Phys. Lett. 34B, 261 (1971); 35B, 383 (1971); J. B. French and S. Wong, Phys. Lett. 33B, 449 (1970).
14. K. Mon and J. B. French, Ann. Phys. (N. Y.) 95, 90 (1975); S. Wong and J. B. French, Nucl. Phys. A198, 188 (1972); O. Bohigas and J. Flores, Phys. Lett. 34B, 261 (1971); 35B, 383 (1971); J. B. French and S. Wong, Phys. Lett. 33B, 449 (1970).
15. K. Mon and J. B. French, Ann. Phys. (N. Y.) 95, 90 (1975); S. Wong and J. B. French, Nucl. Phys. A198, 188 (1972); O. Bohigas and J. Flores, Phys. Lett. 34B, 261 (1971); 35B, 383 (1971); J. B. French and S. Wong, Phys. Lett. 33B, 449 (1970).
16. K. Mon and J. B. French, Ann. Phys. (N. Y.) 95, 90 (1975); S. Wong and J. B. French, Nucl. Phys. A198, 188 (1972); O. Bohigas and J. Flores, Phys. Lett. 34B, 261 (1971); 35B, 383 (1971); J. B. French and S. Wong, Phys. Lett. 33B, 449 (1970).
17. F. Iachello, Chem. Phys. Lett. 78, 581 (1981); F. Iachello and R. Levine, Algebraic Theory of Molecules (Oxford, New York, 1995).
18. F. Iachello, Chem. Phys. Lett. 78, 581 (1981); F. Iachello and R. Levine, Algebraic Theory of Molecules (Oxford, New York, 1995).
19. A. Frank and P. Van Isacker, Algebraic Methods in Molecular and Nuclear Structure Physics (Wiley, New York, 1994).
20. M. Ismail and X. Li, Proc. Am. Math. Soc. 115, 131 (1992).
21. E. Van Doorn, J. Approx. Theory 51, 254 (1987).
22. L. Hollenberg and N. S. Witte, Phys. Rev. B 54, 16309 (1996).
23. M. Kac, Probability and Related Topics in Physical Sciences (Interscience, London, 1959); A. Bharucha-Reid and M. Sambadham, Random Polynomials (Academic, New York, 1986).
24. M. Kac, Probability and Related Topics in Physical Sciences (Interscience, London, 1959); A. Bharucha-Reid and M. Sambadham, Random Polynomials (Academic, New York, 1986).
25. D. Kusnezov, R. Bijker, and A. Frank (unpublished).