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arXiv · 0907.5546

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

Cesar R. de Oliveira·Mariza S. Simsen
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Abstract

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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Cesar R. de Oliveira, Mariza S. Simsen. 2009-07-31. Quantum Energy Expectation in Periodic Time-Dependent hamiltonians via Green Functions. https://doi.org/10.1155/2009/902506

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