- 09-127 Cesar R. de Oliveira, Mariza S. Simsen
- QUANTUM ENERGY EXPECTATION IN PERIODIC TIME-DEPENDENT HAMILTONIANS VIA GREEN FUNCTIONS
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Jul 31, 09
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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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