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Branched Hamiltonians for a Class of Velocity Dependent Potentials
, , Tummuru T.R., Semorádová I., Znojil M.
Published in Institute of Physics Publishing
2017
Volume: 839
   
Issue: 1
Abstract
Hamiltonians that are multivalued functions of momenta are of topical interest since they correspond to the Lagrangians containing higher-degree time derivatives. Incidentally, such classes of branched Hamiltonians lead to certain not too well understood ambiguities in the procedure of the quantization. Within this framework we pick up a model which samples the latter ambiguities and which, simultaneously, turns out to be amenable to a transparent analytic and perturbative treatment. © Published under licence by IOP Publishing Ltd.
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Published in Institute of Physics Publishing
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