Quasiexact Theory of Three-Dimensional Optical Self-Focusing

Theoretical and Mathematical Physics - We find a quasiexact three-dimensional analytic solution of the nonlinear Schrödinger equation describing the field of a stationary optical beam in an...     

Continual integrals and canonical transformations

Continual integrals are considered for the matrix elements of an evolution operator of quantum-mechanical systems. It is shown that a continual integral can be reduced to a finite multiple integral by using canonical transformations. The method developed is illustrated by an example of a homogeneous force field.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 16–19, May, 1982.