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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 6, Pages 1125–1133 (Mi zvmmf647)  
On approximate quasi-classical representations of transition probabilities in nonstationary problems of quantum mechanics

V. Kontorin

ul. Teestuze 75, kv. 36, Tallinn, 10416 Estonia
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Abstract: The following nonstationary problems are solved by the Feynman propagator method in the quasi-classical approximation: the nonstationary problem with a linear turning point, computation of the tunneling probability through a quasi-classical potential barrier in a weak nonstationary field, and the dissociation problem on a truncated harmonic oscillator.
Key words: Feynman propagator method, saddle point technique, stationary phase technique, tunneling probability.
Received: 25.05.2004
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. Kontorin, “On approximate quasi-classical representations of transition probabilities in nonstationary problems of quantum mechanics”, Zh. Vychisl. Mat. Mat. Fiz., 45:6 (2005), 1125–1133; Comput. Math. Math. Phys., 45:6 (2005), 1086–1094
Citation in format AMSBIB
\Bibitem{Kon05}
\by V.~Kontorin
\paper On approximate quasi-classical representations of transition probabilities in nonstationary problems of quantum mechanics
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 6
\pages 1125--1133
\mathnet{http://mi.mathnet.ru/zvmmf647}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2193425}
\zmath{https://zbmath.org/?q=an:1087.81038}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 6
\pages 1086--1094
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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