Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials

Journal of Mathematical Physics

Volumn 39, Issue 6, 1998, Pages 3050-3060

  Dehesa, J S ^a   Yanez R J ^a   Aptekarev, A I ^b   Buyarov, V ^b  

^a UNIVERSITY OF GRANADA   (Spain)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032393148     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532238     Document Type: Article

References (26)

1. U. Schwengelbeck and F. H. M. Faisal, Phys. Rev. A 50, 632 (1994).
2. R. Loudon, Am. J. Phys. 27, 649 (1959).
3. G. F. Saville and J. M. Goodkind, Phys. Rev. A 50, 2059 (1994).
4. A. J. Bracken, D. S. McAnally, and O. A. Odundun, J. Math. Phys. 28, 397 (1987).
5. A. Luks, V. Perinova, and J. Krepelka, Phys. Rev. A 50, 818 (1994).
6. R. J. Yáñez, W. van Assche, and J. S. Dehesa, Phys. Rev. A 50, 3065 (1994).
7. C. E. Shannon, Bell Syst. Tech. J. 27, 379 and 623 (1949).
8. T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, New York, 1991).
9. S. Guiasu, Information Theory with Applications (McGraw-Hill, New York, 1977).
10. J. Avery, Hyperspherical Harmonics: Applications in Quantum Theory (Kluwer, Dordrecht, 1988).
11. L. Boltzmann, Vorlesungen über Gastheorie (Barth, Leipzig, 1896).
12. I. Bialynicki-Birula and J. Mycielski, Commun. Math. Phys. 44, 129 (1975).
13. A. I. Aptekarev, J. S. Dehesa, and R. J. Yáñez, J. Math Phys. 35, 4423 (1994).
14. A. I. Aptekarev, V. Buyarov, and J. S. Dehesa, Russ. Acad. Sci. Sb. Math. 185, 3 (1994); English translation RAS Math. Sbo. 82, 373 (1995).
15. A. I. Aptekarev, V. Buyarov, and J. S. Dehesa, Russ. Acad. Sci. Sb. Math. 185, 3 (1994); English translation RAS Math. Sbo. 82, 373 (1995).
16. G. Szëgo, Orthogonal Polynomials (American Mathematical Society, Providence, RI, 1978).
17. E. Schrödinger, Ann. Phys. (Leipzig) 79, 361 (1926); 79, 489 (1926); 80, 437 (1926); 81, 109 (1926).
18. E. Schrödinger, Ann. Phys. (Leipzig) 79, 361 (1926); 79, 489 (1926); 80, 437 (1926); 81, 109 (1926).
19. E. Schrödinger, Ann. Phys. (Leipzig) 79, 361 (1926); 79, 489 (1926); 80, 437 (1926); 81, 109 (1926).
20. E. Schrödinger, Ann. Phys. (Leipzig) 79, 361 (1926); 79, 489 (1926); 80, 437 (1926); 81, 109 (1926).
21. M. M. Nieto, Am. J. Phys. 47, 1067 (1979).
22. M. M. Nieto and L. M. Simmons, Phys. Rev. A 19, 438 (1979).
23. J. S. Dehesa, W. van Assche, and R. J. Yáñez, Methods Appl. Anal. 4, 91 (1997).
24. W. van Assche, R. J. Yáñez, and J. S. Dehesa, J. Math. Phys. 36, 4106 (1995).
25. A. I. Aptekarev, V. S. Buyarov, W. van Assche, and J. S. Dehesa, Dokl. Akad. Nauk 346, 439 (1996) (in Russian); Dokl. Math. 53, 47 (1996).
26. A. I. Aptekarev, V. S. Buyarov, W. van Assche, and J. S. Dehesa, Dokl. Akad. Nauk 346, 439 (1996) (in Russian); Dokl. Math. 53, 47 (1996).