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

César R. de Oliveira and Mariza S. Simsen

Mathematical Problems in Engineering, 2009, vol. 2009, 1-30

Abstract:

Let be the Floquet operator of a time periodic Hamiltonian . For each positive and discrete observable (which we call a probe energy ), we derive a formula for the Laplace time average of its expectation value up to time in terms of its eigenvalues and Green functions at the circle of radius . Some simple applications are provided which support its usefulness.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:902506

DOI: 10.1155/2009/902506

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