Darboux-integrable nonlinear Liouville-von Neumann equation
Quantum Physics
2009-10-31 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
solv-int
Abstract
A new form of a binary Darboux transformation is used to generate analytical solutions of a nonlinear Liouville-von Neumann equation. General theory is illustrated by explicit examples.
Cite
@article{arxiv.quant-ph/9804052,
title = {Darboux-integrable nonlinear Liouville-von Neumann equation},
author = {Sergei B. Leble and Marek Czachor},
journal= {arXiv preprint arXiv:quant-ph/9804052},
year = {2009}
}
Comments
Explicit examples added (harmonic oscillator, two spin-1/2 particles, matrix Hamiltonians,...)