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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 60, Number 3, Pages 423–431
(Mi tmf5356)
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This article is cited in 1 scientific paper (total in 1 paper)
Inversion transformation in the Schrödinger equation
Yu. N. Demkov, N. V. Semenova
Abstract:
The equivalence of Schrödinger equations with different types
of potentials is established on the basis of an inversion
transformation. It is shown that at zero energy the equation with
a spherical potential is equivalent to the equation with an
axisymmetric potential of special form. Exact solutions are
obtained to problems of the motion of a particle with zero total
energy in the field of two “fish-eye” potentials and also in the
field of a potential with two Coulomb singularities.
Received: 14.10.1983
Citation:
Yu. N. Demkov, N. V. Semenova, “Inversion transformation in the Schrödinger equation”, TMF, 60:3 (1984), 423–431; Theoret. and Math. Phys., 60:3 (1984), 914–920
Linking options:
https://www.mathnet.ru/eng/tmf5356 https://www.mathnet.ru/eng/tmf/v60/i3/p423
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Abstract page: | 613 | Full-text PDF : | 227 | References: | 45 | First page: | 1 |
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