Geodesic
Representation of the Green's function of~Schr\"odinger's
Sbornik. Mathematics, Tome 197 (2006) no. 11, pp. 1559-1568

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The Cauchy problem is considered for the many-dimensional Schrödinger equation describing a particle in constant electric and magnetic fields and the field of a potential equal to the sum of a decreasing and an almost periodic function. An approximation of the Green's function of the Cauchy problem for such an equation by a path integral over Gaussian wave packets is put forward. Bibliography: 21 titles. 
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     author = {A. A. Arsen'ev},
     title = {Representation of the {Green's} function {of~Schr\"odinger's}},
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A. A. Arsen'ev. Representation of the Green's function of~Schr\"odinger's. Sbornik. Mathematics, Tome 197 (2006) no. 11, pp. 1559-1568. http://geodesic.mathdoc.fr/item/SM_2006_197_11_a0/