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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 61, Number 1, Pages 92–98
(Mi tmf5660)
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Asymptotic solutions of whispering-gallery type for the time-dependent Schrödinger equation
A. A. Denisov
Abstract:
Formal asymptotic solutions of the time-dependent Schrödinger
equation that are concentrated in the neighborhood of the boundary
of a cylindrical region and satisfy the zero-value boundary
condition are constructed. It is shown that the leading term in
the asymptotic solution can be calculated if the solution is known
to the Cauchy problem for the Hamilton system corresponding to the
problem of classical mechanics of the motion of a material point
subject to a holonomic constraint.
Received: 20.12.1983
Citation:
A. A. Denisov, “Asymptotic solutions of whispering-gallery type for the time-dependent Schrödinger equation”, TMF, 61:1 (1984), 92–98; Theoret. and Math. Phys., 61:1 (1984), 1017–1021
Linking options:
https://www.mathnet.ru/eng/tmf5660 https://www.mathnet.ru/eng/tmf/v61/i1/p92
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