Morse potential in relativistic contexts from generalized momentum operator, Pekeris approximation revisited and mapping

In this work we explore a generalization of the Dirac and Klein-Gordon (KG) oscillators, provided with a deformed linear momentum inspired in nonextensive statistics, that gives place to the Morse potential in relativistic contexts by first principles. In the (1+1)-dimensional case the relativistic...

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Detalles Bibliográficos
Autores principales: Gómez, Ignacio Sebastián, Santos, Esdras S., Abla, Olavo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2020
Materias:
Ciencias Exactas
Física
Relativistic oscillators
non-minimal coupling
Pekeris approximation
Schottky effect
Pekeris mapping
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131107
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-131107
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Relativistic oscillators
non-minimal coupling
Pekeris approximation
Schottky effect
Pekeris mapping
spellingShingle Ciencias Exactas
Física
Relativistic oscillators
non-minimal coupling
Pekeris approximation
Schottky effect
Pekeris mapping
Gómez, Ignacio Sebastián
Santos, Esdras S.
Abla, Olavo
Morse potential in relativistic contexts from generalized momentum operator, Pekeris approximation revisited and mapping
topic_facet Ciencias Exactas
Física
Relativistic oscillators
non-minimal coupling
Pekeris approximation
Schottky effect
Pekeris mapping
description In this work we explore a generalization of the Dirac and Klein-Gordon (KG) oscillators, provided with a deformed linear momentum inspired in nonextensive statistics, that gives place to the Morse potential in relativistic contexts by first principles. In the (1+1)-dimensional case the relativistic oscillators are mapped into the quantum Morse potential. Using the Pekeris approximation, in the (3+1)-dimensional case we study the thermodynamics of the S-waves states (l=0) of the H2, LiH, HCl and CO molecules (in the non-relativistic limit) and of a relativistic electron, where Schottky anomalies (due to the finiteness of the Morse spectrum) and spin contributions to the heat capacity are reported. By revisiting a generalized Pekeris approximation, we provide a mapping from (3+1)-dimensional Dirac and KG equations with a spherical potential to an associated one-dimensional Schrödinger-like equation, and we obtain the family of potentials for which this mapping corresponds to a Schr\"odinger equation with non-minimal coupling.
format Articulo
Preprint
author Gómez, Ignacio Sebastián
Santos, Esdras S.
Abla, Olavo
author_facet Gómez, Ignacio Sebastián
Santos, Esdras S.
Abla, Olavo
author_sort Gómez, Ignacio Sebastián
title Morse potential in relativistic contexts from generalized momentum operator, Pekeris approximation revisited and mapping
title_short Morse potential in relativistic contexts from generalized momentum operator, Pekeris approximation revisited and mapping
title_full Morse potential in relativistic contexts from generalized momentum operator, Pekeris approximation revisited and mapping
title_fullStr Morse potential in relativistic contexts from generalized momentum operator, Pekeris approximation revisited and mapping
title_full_unstemmed Morse potential in relativistic contexts from generalized momentum operator, Pekeris approximation revisited and mapping
title_sort morse potential in relativistic contexts from generalized momentum operator, pekeris approximation revisited and mapping
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/131107
work_keys_str_mv AT gomezignaciosebastian morsepotentialinrelativisticcontextsfromgeneralizedmomentumoperatorpekerisapproximationrevisitedandmapping
AT santosesdrass morsepotentialinrelativisticcontextsfromgeneralizedmomentumoperatorpekerisapproximationrevisitedandmapping
AT ablaolavo morsepotentialinrelativisticcontextsfromgeneralizedmomentumoperatorpekerisapproximationrevisitedandmapping
bdutipo_str Repositorios
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