Cesar R. de Oliveira, Mariza S. Simsen
QUANTUM ENERGY EXPECTATION IN PERIODIC TIME-DEPENDENT HAMILTONIANS VIA GREEN FUNCTIONS
(376K, pdf)

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.