Coherent states in the symmetric gauge for graphene under a constant perpendicular magnetic field

Bibliographic Details
Title: Coherent states in the symmetric gauge for graphene under a constant perpendicular magnetic field
Authors: Díaz-Bautista, Erik, Negro, Javier, Nieto, Luis Miguel
Source: Eur. Phys. J. Plus 136 (2021) 505
Publication Year: 2021
Collection: Mathematics
Condensed Matter
Mathematical Physics
Quantum Physics
Subject Terms: Condensed Matter - Mesoscale and Nanoscale Physics, Mathematical Physics, Quantum Physics
More Details: In this work we describe semiclassical states in graphene under a constant perpendicular magnetic field by constructing coherent states in the Barut-Girardello sense. Since we want to keep track of the angular momentum, the use of the symmetric gauge and polar coordinates seemed the most logical choice. Different classes of coherent states are obtained by means of the underlying algebra system, which consists of the direct sum of two Heisenberg-Weyl algebras. The most interesting cases are a kind of partial coherent states and the coherent states with a well-defined total angular momentum.
Comment: 24 pages, 13 figures
Document Type: Working Paper
DOI: 10.1140/epjp/s13360-021-01490-0
Access URL: http://arxiv.org/abs/2105.00394
Accession Number: edsarx.2105.00394
Database: arXiv
More Details
DOI:10.1140/epjp/s13360-021-01490-0