The evolution operator technique in solving the Schrodinger equation, and its application to disentangling exponential operators and solving the problem of a mass-varying harmonic oscillator
- 21 November 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (22) , 4115-4131
- https://doi.org/10.1088/0305-4470/21/22/015
Abstract
The authors present a method for finding the evolution operator for the Schrodinger equation for the Hamiltonian expressible as H(t)=a1(t)J4+a2(t)J0+a3(t) J- where J+, J0 and J- are the SU(2) group generators. Such a method is applied to the disentangling technique for exponential operators which are not necessarily unitary. As a demonstration of our general approach, they solved the problem of a harmonic oscillator with a varying mass.Keywords
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