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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 88, Number 3, Pages 477–480
(Mi tmf5840)
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This article is cited in 3 scientific papers (total in 3 papers)
New method of solution of the one-dimensional Schrödinger equation
V. K. Ignatovich
Abstract:
The potential in the Schrödinger equation is divided by gaps of
infinitesimal width into individual potential barriers, the tops of
which are approximated by quadratic potentials. For each barrier,
the total wave function within the barrier is found, and also the
reflection and transmission amplitudes. The method of recursion
relations is then used to construct the reflection amplitude for the
complete potential, it being expressed in terms of the amplitudes of
the individual potential barriers in the form of a continued fraction.
The transmission amplitude for the complete potential and the wave
function at any given part of the potential are found similarly.
Received: 13.03.1991
Citation:
V. K. Ignatovich, “New method of solution of the one-dimensional Schrödinger equation”, TMF, 88:3 (1991), 477–480; Theoret. and Math. Phys., 88:3 (1991), 1010–1012
Linking options:
https://www.mathnet.ru/eng/tmf5840 https://www.mathnet.ru/eng/tmf/v88/i3/p477
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Statistics & downloads: |
Abstract page: | 541 | Full-text PDF : | 265 | References: | 50 | First page: | 1 |
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