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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 61, Number 1, Pages 99–117
(Mi tmf5662)
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This article is cited in 28 scientific papers (total in 28 papers)
Two-dimensional hydrogen atom. I. Elliptic basis
L. G. Mardoyan, G. S. Pogosyan, A. N. Sisakyan, V. M. Ter-Antonyan
Abstract:
A two-dimensional hydrogen atom is analyzed in elliptic
coordinates. Separation of the variables reduces the problem to
the solution of the Ince equation in the complex plane subject to
certain boundary conditions. It is shown that in the limits
$R\rightarrow 0$ and $R\rightarrow\infty$ ($R$ is a parameter that
specifies the elliptic coordinates) the obtained solutions go over
to polar and parabolic bases, respectively. The explicit form of
the elliptic basis is given for the lowest quantum states.
Received: 28.07.1983
Citation:
L. G. Mardoyan, G. S. Pogosyan, A. N. Sisakyan, V. M. Ter-Antonyan, “Two-dimensional hydrogen atom. I. Elliptic basis”, TMF, 61:1 (1984), 99–117; Theoret. and Math. Phys., 61:1 (1984), 1021–1034
Linking options:
https://www.mathnet.ru/eng/tmf5662 https://www.mathnet.ru/eng/tmf/v61/i1/p99
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