A possible application of commutators in stationary perturbation theory
- 1 June 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (6) , 2007-2012
- https://doi.org/10.1088/0305-4470/13/6/023
Abstract
For an observable which can be represented by a self-adjoint operator belonging to a rather restrictive class, it is shown that the problem of calculating the expectation value up to the nth order is equivalent to solving n commutator equations. In the first order the theory yields naturally the interchange theorem for any observable. For the calculation of the first-order corrections, the theory leads to a differential equation which is solved explicitly for a wide class of multiplication operators in the configuration space.Keywords
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