A. V. Kuzmenko, “Representation of the wave function by a functional integral and the quasiclassical approximation in the scattering problem”, TMF, 29:1 (1976), 52–58; Theoret. and Math. Phys., 29:1 (1976), 922

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Teoreticheskaya i Matematicheskaya Fizika, 1976, Volume 29, Number 1, Pages 52–58 (Mi tmf3430)

This article is cited in 5 scientific papers (total in 5 papers)

Representation of the wave function by a functional integral and the quasiclassical approximation in the scattering problem

A. V. Kuzmenko

Full-text PDF (917 kB) Citations (5)

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Abstract: The nonstationary wave function

$\Psi_k(x, T)$ with initial condition

$\Psi_k(x, 0)=\exp(ikx)$ and stationary wave function

$\psi_k(x)$ of the scattering problem are represented by functional integrals. This representation is used in the three-dimensional problem of scattering on an arbitrary (not necessarily central) potential to obtain the quasiclassical scattering amplitude and also the quantum corrections to it.

Received: 03.12.1975

English version:
Theoretical and Mathematical Physics, 1976, Volume 29, Issue 1, Pages 922–927
DOI: https://doi.org/10.1007/BF01093464

Bibliographic databases:

Language: Russian

Citation: A. V. Kuzmenko, “Representation of the wave function by a functional integral and the quasiclassical approximation in the scattering problem”, TMF, 29:1 (1976), 52–58; Theoret. and Math. Phys., 29:1 (1976), 922–927

Citation in format AMSBIB

\Bibitem{Kuz76}

\by A.~V.~Kuzmenko

\paper Representation of the wave function by a~functional integral and the quasiclassical approximation in the scattering problem

\jour TMF

\yr 1976

\vol 29

\issue 1

\pages 52--58

\mathnet{http://mi.mathnet.ru/tmf3430}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=523028}

\transl

\jour Theoret. and Math. Phys.

\yr 1976

\vol 29

\issue 1

\pages 922--927

\crossref{https://doi.org/10.1007/BF01093464}

Linking options:

https://www.mathnet.ru/eng/tmf3430

https://www.mathnet.ru/eng/tmf/v29/i1/p52

This publication is cited in the following 5 articles:

V. N. Ostrovskii, “Quasiclassical expansion of the amplitude of potential scattering”, Theoret. and Math. Phys., 45:3 (1980), 1097–1099
A. N. Vasil'ev, A. V. Kuzmenko, “Functional integral for the scattering amplitude in the presence of a long-range interaction Journal Theoretical and Mathematical Physics”, Theoret. and Math. Phys., 41:1 (1979), 854–862
A. V. Kuzmenko, “First correction to the quasiclassical scattering amplitude”, Theoret. and Math. Phys., 35:2 (1978), 462–466
A. N. Vasil'ev, A. V. Kuzmenko, “Representation of the scattering amplitude by a functional integral and quasiclassical asymptotic behavior in quantum mechanics”, Theoret. and Math. Phys., 31:3 (1977), 479–488
B. R. Vainberg, “Quasiclassical approximation in stationary scattering problems”, Funct. Anal. Appl., 11:4 (1977), 247–257

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	374
Full-text PDF :	151
References:	54
First page:	1

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