Parameter differentiation and quantum state decomposition for time varying Schroedinger equations

Details Parameter differentiation and quantum state decomposition for time varying Schroedinger equations Parameter differentiation and quantum state decomposition for time varying Schroedinger equations

2002-01-09

arxiv.org/abs/quant-ph/0201034v2

Reports on Mathematical Physics, 52(3):381-400, 2003

Physics

Quantum Physics

14 pages, revtex4

Scientific paper

10.1016/S0034-4877(03)80037-X

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.

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