Parameter differentiation and quantum state decomposition for time varying Schrödinger equations |
| |
Authors: | Claudio Altafini |
| |
Affiliation: | SISSA-ISAS International School for Advanced Studies via Beirut 2-4, 34014 Trieste, Italy |
| |
Abstract: | For the unitary operator, solution of the Schrödinger 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. |
| |
Keywords: | 03.67.Lx 03.65.Fd 02.30.Mv 02.30.Xy |
本文献已被 ScienceDirect 等数据库收录! |