A DYSON-LIKE EXPANSION FOR SOLUTIONS TO THE QUANTUM LIOUVILLE EQUATION

Given a Hamiltonian of the form H = h+v, the convergence of a Dyson-like expansion (in ) 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. 1986 American Institute of Physics.

A DYSON-LIKE EXPANSION FOR SOLUTIONS TO THE QUANTUM LIOUVILLE EQUATION Academic Article