arXiv subjects

P A Horvathy

Publications and source records attributed to P A Horvathy.

2 recordsLinked to original sources

arXiv2025

Prequantisation from the path integral viewpoint

The quantum mechanically admissible definitions of the factor $\exp\big[(i/\hbar)S(γ)\big]$ in the Feynman integral are put in bijection with the prequantisations of Kostant and Souriau. The different allowed expressions of this factor -- the inequivalent prequantisations -- are classified. The theory is illustrated by the Aharonov-Bohm experiment and by identical particles.

math-ph↗

arXiv2005

Comments on spin-orbit interaction of anyons

The coupling of non-relativistic anyons (called exotic particles) to an electromagnetic field is considered. Anomalous coupling is introduced by adding a spin-orbit term to the Lagrangian. Alternatively, one has two Hamiltonian structures, obtained by either adding the anomalous term to the Hamiltonian, or by redefining the mass and the NC parameter. The model can also be derived from its relativistic counterpart.

hep-th↗