Method for the construction of the Lewis-Riesenfeld time-dependent invariants and their eigenvalue equations
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2018-09-04
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De Ponte, M. A. [UNESP]
Cônsoli, P. M.
Moussa, M. H.Y.
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We propose here a method for the construction of the Lewis and Riesenfeld time-dependent invariants. Instead of directly invoking the equation that defines the invariant associated with a time-dependent Hamiltonian, our method allows the step-by-step construction of the invariant as a product of operators, and mainly a straightforward derivation of its eigenvalue equation.
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Physical Review A, v. 98, n. 3, 2018.