A Dyson-like expansion for solutions to the quantum Liouville equation
- 1 October 1986
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 27 (10) , 2502-2510
- https://doi.org/10.1063/1.527316
Abstract
Given a Hamiltonian of the form H=h+λv, the convergence of a Dyson-like expansion (in λ) is constructed and shown for the Wigner distribution function that solves the quantum Liouville equation that corresponds to H. Here, h is a quadratic polynomial in p, q; its coefficients may depend continuously on time. The potential v is a function of p and t as well as q; roughly speaking, it is the Fourier transform of a time-dependent measure.Keywords
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