Information entropy of the relativistic Kozlov–Nikishin model
Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 3, pp. 444-458 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We calculate wave functions in the momentum representation for bound states in the relativistic Kozlov–Nikishin model. We investigate the asymptotic behavior of entropy in the coordinate and momentum representations at various limiting transitions.
Keywords: Schrödinger equation, wave function, coordinate representation, momentum representation, bound state, information entropy, asymptotic behavior, relativistic hydrogen atom.
@article{TMF_2006_148_3_a6,
     author = {M. A. Prikhod'ko},
     title = {Information entropy of the~relativistic {Kozlov{\textendash}Nikishin} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {444--458},
     year = {2006},
     volume = {148},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_148_3_a6/}
}
TY  - JOUR
AU  - M. A. Prikhod'ko
TI  - Information entropy of the relativistic Kozlov–Nikishin model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2006
SP  - 444
EP  - 458
VL  - 148
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2006_148_3_a6/
LA  - ru
ID  - TMF_2006_148_3_a6
ER  - 
%0 Journal Article
%A M. A. Prikhod'ko
%T Information entropy of the relativistic Kozlov–Nikishin model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2006
%P 444-458
%V 148
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2006_148_3_a6/
%G ru
%F TMF_2006_148_3_a6
M. A. Prikhod'ko. Information entropy of the relativistic Kozlov–Nikishin model. Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 3, pp. 444-458. http://geodesic.mathdoc.fr/item/TMF_2006_148_3_a6/

[1] V. V. Kozlov, E. M. Nikishin, Vestn. Mosk. Univ. Ser. 1. Matem. Mekh., 1986, no. 5, 11–20 | MR | Zbl

[2] J. S. Dehesa, R. J. Yanez, A. I. Aptekarev, V. Buyarov, J. Math. Phys., 39:6 (1998), 3050–3060 ; R. J. Yanez, W. Van Assche, J. S. Dehesa, Phys. Rev. A, 50 (1994), 3065–3079 ; J. S. Dehesa, A. Martinez-Finkelshtein, V. N. Sorokin, Phys. Rev. A, 66 (2002), 1–7 ; J. Math. Phys., 44:1 (2003), 36–47 | DOI | MR | Zbl | DOI | MR | DOI | DOI | MR | Zbl

[3] I. Białynicki-Birula, J. Mycielski, Commun. Math. Phys., 44 (1975), 129–132 | DOI | MR

[4] Z. Flyugge, Zadachi po kvantovoi mekhanike, Mir, M., 1974 | MR | Zbl

[5] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, Nauka, M., 1965 | MR | MR | Zbl

[6] G. N. Watson, A Treatise on the Theory of Bessel Functions, Camb. Univ. Press, Cambridge, 1922 | MR | Zbl

[7] M. A. Prikhodko, Matem. zametki, 78:5 (2005), 727–744 | DOI | MR | Zbl

[8] G. Beitmen, A. Erdeii, Tablitsy integralnykh preobrazovanii, Nauka, M., 1970 | MR | MR | MR | Zbl