Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/24547
Title: Generalized adiabatic invariance
Author: Garrido, L. (Luis), 1930-
Keywords: Teoria quàntica
Espais de Hilbert
Pertorbació (Dinàmica quàntica)
Quantum theory
Hilbert space
Perturbation (Quantum dynamics)
Issue Date: 1964
Publisher: American Institute of Physics
Abstract: In this paper we find the quantities that are adiabatic invariants of any desired order for a general slowly time-dependent Hamiltonian. In a preceding paper, we chose a quantity that was initially an adiabatic invariant to first order, and sought the conditions to be imposed upon the Hamiltonian so that the quantum mechanical adiabatic theorem would be valid to mth order. [We found that this occurs when the first (m - 1) time derivatives of the Hamiltonian at the initial and final time instants are equal to zero.] Here we look for a quantity that is an adiabatic invariant to mth order for any Hamiltonian that changes slowly in time, and that does not fulfill any special condition (its first time derivatives are not zero initially and finally).
Note: Reproducció del document proporcionada per AIP i http://dx.doi.org/10.1063/1.1704127
It is part of: Journal of Mathematical Physics, 1964, vol. 5, p. 355
Related resource: http://dx.doi.org/10.1063/1.1704127
URI: http://hdl.handle.net/2445/24547
ISSN: 0022-2488
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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