https://doi.org/10.1140/epjp/s13360-021-01490-0
Regular Article
Coherent states in the symmetric gauge for graphene under a constant perpendicular magnetic field
1
Departamento de Formación Básica Disciplinaria, Unidad Profesional Interdisciplinaria de Ingeniería Campus Hidalgo del Instituto Politécnico Nacional, Pachuca: Ciudad del Conocimiento y la Cultura, Carretera Pachuca-Actopan km 1+500, 42162, San Agustín Tlaxiaca, Hidalgo, Mexico
2
Departamento de Física Teórica, Atómica y Óptica and IMUVA, Universidad de Valladolid, 47011, Valladolid, Spain
Received:
15
March
2021
Accepted:
24
April
2021
Published online:
7
May
2021
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
