Branched Hamiltonians for a Class of Velocity Dependent Potentials

Quantum Fest 2016 International Conference on Quantum Phenomena, Quantum Control and Quantum Optics

Bagchi, B.^1 ; Kamil, S.M.^1 ; Tummuru, T.R.^1 ; Semorádová, I.^2 ; Znojil, M.^2

Department of Physics, Shiv Nadar University, Dadri

UP

201314, India^1

Nuclear Physics Institute, ASCR, e

250 68, Czech Republic^2

关键词: Multivalued functions;    Perturbative treatment;    Time derivative;    Velocity-dependent;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/839/1/012011/pdf
DOI  :  10.1088/1742-6596/839/1/012011

来源: IOP

【 摘 要 】

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.