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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 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

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.

UDC: 519.634

Received: 25.05.2004


 English version:
Computational Mathematics and Mathematical Physics, 2005, 45:6, 1086–1094

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