Branched Hamiltonians for a Class of Velocity Dependent Potentials

0489077 - ÚJF 2019 RIV GB eng C - Konferenční příspěvek (zahraniční konf.)
Bagchi, B. - Kamil, S. M. - Tummuru, T. R. - Semorádová, Iveta - Znojil, Miloslav
Branched Hamiltonians for a Class of Velocity Dependent Potentials.
Journal of Physics: Conference Series. Vol. 839. Bristol: IOP Publishing, 2017, č. článku 012011. ISSN 1742-6588.
[Quantum Fest 2016 International Conference on Quantum Phenomena, Quantum Control and Quantum Optics. Mexico City (MX), 17.10.2016-21.10.2016]
Grant CEP: GA ČR GA16-22945S
Institucionální podpora: RVO:61389005
Klíčová slova: Multivalued functions * Perturbative treatment * Time derivative * Velocity-dependent
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

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.
Trvalý link: http://hdl.handle.net/11104/0283561