Sign in
Back
The Lie algebraic solution of a time-dependent Schrodinger equation invariant under the algebra {sl(2, R) circle plus(s) W} circle plus(s) infinity A1
Journal article

The Lie algebraic solution of a time-dependent Schrodinger equation invariant under the algebra {sl(2, R) circle plus(s) W} circle plus(s) infinity A1

A. Maharaj, K. Andriopoulos, P. G. L. Leach and M. Sebawe Abdalla
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, Vol.125(2), pp.149-161
01/02/2010
DOI: https://doi.org/10.1393/ncb/i2010-10843-1

Abstract

Physical Sciences Physics Physics, Multidisciplinary Science & Technology
Time-dependent quadratic Hamiltonians have diverse applications. We construct such a Hamiltonian from a representation of the elements of the algebra sl(2, R)circle plus(s) W with each element having an independent, time-dependent coefficient. We demonstrate that the corresponding Schrodinger equation possesses the Lie algebra. {sl(2, R) circle plus(s) W} circle plus(s) infinity A(1) and show how to construct the wave functions using this representation.

Metrics

1 Record Views

Details