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Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento

A class of solvable models with time-dependent hamiltonians

E. Onofri

Published May 1, 1976• 0 citations
Publisher
DOI
10.1007/bf02824359

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We introduce a new class of quantum models with time-dependent Hamiltonians of a special scaling form. By using a couple of time-dependent unitary transformations, the time evolution of these models is expressed in terms of related systems with time-independent Hamiltonians. The mapping of dynamics can be performed in any dimension, for an arbitrary number of interacting particles and for any type of the scaling interaction potential. The exact solvability of a "dual" time-independent Hamiltonian automatically means the exact solvability of the original problem with model time-dependence.