Parameter differentiation and quantum state decomposition for time varying Schroedinger equations
Quantum Physics
2009-11-07 v2
Abstract
For the unitary operator, solution of the Schroedinger equation corresponding to a time-varying Hamiltonian, the relation between the Magnus and the product of exponentials expansions can be expressed in terms of a system of first order differential equations in the parameters of the two expansions. A method is proposed to compute such differential equations explicitly and in a closed form.
Cite
@article{arxiv.quant-ph/0201034,
title = {Parameter differentiation and quantum state decomposition for time varying Schroedinger equations},
author = {Claudio Altafini},
journal= {arXiv preprint arXiv:quant-ph/0201034},
year = {2009}
}
Comments
14 pages, revtex4