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arXiv · 1701.02280

Branched Hamiltonians for a class of Velocity Dependent Potentials

Bijan Bagchi·Syed M. Kamil·Tarun R. Tummuru·Iveta Semoradova·Miloslav Znojil
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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 quantization. Within this framework, we pick up a model that samples the latter ambiguities and simultaneously turns out to be amenable to a transparent analytic and perturbative treatment.

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Bijan Bagchi, Syed M. Kamil, Tarun R. Tummuru, Iveta Semoradova, Miloslav Znojil. 2017-01-09. Branched Hamiltonians for a class of Velocity Dependent Potentials. https://doi.org/10.1088/1742-6596/839/1/012011

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