Asymptotics of the information entropy of the Airy function

Journal of Physics A: Mathematical and General

Volumn 38, Issue 46, 2005, Pages 9969-9978

  Sanchez Moreno P ^a   Yanez R J ^a   Buyarov, V ^b  

^a UNIVERSITY OF GRANADA   (Spain)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27844552461     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/46/005     Document Type: Article

References (25)

1. Shannon C E 1948 A mathematical theory of communication Bell Syst. Tech. J. 27 379-423
2. Shannon C E 1948 A mathematical theory of communication Bell Syst. Tech. J. 27 623-56
3. Shannon C E (ed) 1949 The Mathematical Theory of Communication W Weaver (ed) (Urbana: University of Illinois Press) (reprint)
4. Ohya M and Petz D 1993 Quantum Information Entropy and Its Use (New York: Springer)
5. Dehesa J S, Martínez-Finkelshtein A and Sánchez-Ruiz J 2001 Quantum information entropies and orthogonal polynomials J. Comput. Appl. Math. 133 23
6. Buyarov V, Dehesa J S, Martínez-Finkelshtein A and Sánchez-Lara J 2004 Computation of the entropy of the polynomials orthogonal on an interval SIAM J. Sci. Comput. 26 488
7. Dehesa J S, Martínez-Finkelshtein A and Sorokin V N 2002 Short-wave asymptotics of the information entropy of a circular membrane Int. J. Bifurcation Chaos 12 2387
8. Dehesa J S, Martínez-Finkelshtein A and Sorokin V N 2003 Asymptotics of information entropies of some toda-like potentials J. Math. Phys. 44 36
9. Dehesa J S, Martínez-Finkelshtein A and Sorokin V N 2002 Quantum-information entropies for highly-excited states of single-particle systems with power-type potentials Phys. Rev. A 66 062109
10. Critchfield C L 1976 Scalar potentials in the dirac equation J. Math. Phys. 17 261
11. - annihilation, and orbital excitations in charmonium Phys. Rev. Lett. 34 168
12. - annihilation, and orbital excitations in charmonium Phys. Rev. Lett. 34 706
13. Eichten E, Gottfried K, Kinoshita T, Kogut J, Lane K D and Yam T M 1975 Spectrum of charmed quark-antiquark bound states Phys. Rev. Lett. 34 369
14. Eichten E, Gottfried K, Kinoshita T, Kogut J, Lane K D and Yam T M 1976 Interplay of confinement and decay in the spectrum of charmonium Phys. Rev. Lett. 36 500
15. Aubert J J et al 1974 Experimental observation of a heavy particle J Phys. Rev. Lett. 33 1404
16. - annihilation Phys. Rev. Lett. 33 1406
17. Sánchez-Ruiz J 1997 Asymptotic formula for the quantum entropy of position in energy eigenstates Phys. Lett. A 226 7
18. Robinett R W 1995 Quantum and classical probability distributions for position and momentum Am. J. Phys. 63 823
19. Vallè O and Soares M 1998 Les Fonctions d'Airy pour la Physique (Paris: Diderot)
20. Abramowitz M and Stegun I A (ed) 1964 Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (National Bureau of Standards, US Government Printing Office)
21. p-norms and entropy for general orthogonal polynomials RAS Sb. Math. 82 373
22. Yá̃ez R J 1995 Information entropy, orthogonal polynomials and multielectronic systems PhD Thesis Universidad de Granada (in Spanish)
23. Antippa A F and Phares A J 1978 The linear potential: a solution in terms of combinatorics functions J. Math. Phys. 19 308
24. Phares A J 1978 The energy eigenvalue equation for the linear potential J. Math. Phys. 19 2239
25. Maurone P A and Phares A J 1980 The linear potential wavefunctions J Math. Phys. 21 830