Abstract
Abstract
Representations for products of two Airy functions with different complex arguments in the form of one-dimensional contour integrals are obtained. These representations are used for analysis of the Green’s function for a charged particle in a uniform static electric field. The integral relation between the stationary and time-dependent Green’s functions is discussed in the sense of its analytical properties for complex energy and field strength. It is shown that the Green’s function can be divided into analytic and non-analytic parts with respect to the field strength near its zero.
Funder
Russian Science Foundation
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
3 articles.
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