Higher approximations for quasiclassical trajectory-coherent states of a nonrelativistic particle

A scheme is developed for constructing higher approximations for quasiclassical trajectory-coherent states of a nonrelativistic particle. The basic property of these states is that the quantum-mechanical mean of the coordinate and momentum operators in these states are accurate solutions of the Hamiltonian system in the limit as 0. The quantum-mechanical means of the energy, coordinate and momentum operators and the mean square deviations from the classical trajectory are calculated with an accuracy of order 0(²). Higher approximations are obtained by the Maslov complexgrowth method.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 14–18, October, 1987.