Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 311-314
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V. F. Tarasov. The confluent Heun equation with two singularities and the modified Schrödinger equation with two accessory parameters. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 311-314. http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a27/
@article{FPM_2000_6_1_a27,
author = {V. F. Tarasov},
title = {The~confluent {Heun} equation with two singularities and the~modified {Schr\"odinger} equation with two accessory parameters},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {311--314},
year = {2000},
volume = {6},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a27/}
}
TY - JOUR
AU - V. F. Tarasov
TI - The confluent Heun equation with two singularities and the modified Schrödinger equation with two accessory parameters
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 311
EP - 314
VL - 6
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a27/
LA - ru
ID - FPM_2000_6_1_a27
ER -
%0 Journal Article
%A V. F. Tarasov
%T The confluent Heun equation with two singularities and the modified Schrödinger equation with two accessory parameters
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 311-314
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a27/
%G ru
%F FPM_2000_6_1_a27
In this article we establish a connection between the confluent Heun equation (with two singularities 0 and $\infty$) and the Schrödinger equation for the hydrogen atom with two accessory parameters $\mu$ and $\nu$, which “influence” the spectrum of eigenvalues and the Coulomb potential.
