Quantum Energy Expectation in Periodic Time-Dependent hamiltonians via Green Functions

Details Quantum Energy Expectation in Periodic Time-Dependent hamiltonians via Green Functions Quantum Energy Expectation in Periodic Time-Dependent hamiltonians via Green Functions

2009-07-31

arxiv.org/abs/0907.5546v1

Mathematical Problems in Engineering Volume 2009, Article ID 902506

Physics

Mathematical Physics

31 pages

Scientific paper

10.1155/2009/902506

Let $U_F$ be the Floquet operator of a time periodic hamiltonian $H(t)$. For each positive and discrete observable $A$ (which we call a {\em probe energy}), we derive a formula for the Laplace time average of its expectation value up to time $T$ in terms of its eigenvalues and Green functions at the circle of radius $e^{1/T}$. Some simple applications are provided which support its usefulness.

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