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Classical asymptotic behavior of the free Schrödinger equation for calculating corrections in the stationary phase method

Le Vu An'


Abstract: New formulae are obtained for the corrections to the asymptotics of the integral according to the stationary phase method. To this end the WKB approximation for the Schrödinger equation is used. The residual term for the asymptotical series over the small parameter powers representing the expansion of the integral of quickly oscillating functions, is obtained.

Received: 10.04.1975

 English version: Theoretical and Mathematical Physics, 1975, 25:2, 1124–1127

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