This article is cited in 5 papers

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

A. V. Kuzmenko


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, 29:1, 922–927

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