dor_id: 4107752

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650.#.4.x: Físico Matemáticas y Ciencias de la Tierra

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336.#.#.3: Artículo de Investigación

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856.4.0.u: https://rmf.smf.mx/ojs/rmf/article/view/97/19; https://rmf.smf.mx/ojs/rmf/article/downloadSuppFile/97/38; https://rmf.smf.mx/ojs/rmf/article/downloadSuppFile/97/39; https://rmf.smf.mx/ojs/rmf/article/downloadSuppFile/97/40;

100.1.#.a: Gómez, G.; Kotsireas, I.; Gkigkitzis, I.; Haranas, I.; Fullana, M. J.

524.#.#.a: Gómez, G., et al. (2018). Space time geometry in the atomic hydrogenoid system. Approach to a dust relativistic model from causal quantum mechanics. Revista Mexicana de Física; Vol 64, No 1 Jan-Feb: 18-29. Recuperado de https://repositorio.unam.mx/contenidos/4107752

245.1.0.a: Space time geometry in the atomic hydrogenoid system. Approach to a dust relativistic model from causal quantum mechanics

502.#.#.c: Universidad Nacional Autónoma de México

561.1.#.a: Facultad de Ciencias, UNAM

264.#.0.c: 2018

264.#.1.c: 2018-01-30

653.#.#.a: De Broglie Bohm; curvature of space time; metric tensor; general relativity; hydrogen-like atoms; electron trajectory; quantum potential; wave function; numerical methods; geodesics; Lorenz geometry.

506.1.#.a: La titularidad de los derechos patrimoniales de esta obra pertenece a las instituciones editoras. Su uso se rige por una licencia Creative Commons BY-NC-ND 4.0 Internacional, https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es, fecha de asignación de la licencia 2018-01-30, para un uso diferente consultar al responsable jurídico del repositorio por medio de rmf@ciencias.unam.mx

884.#.#.k: https://rmf.smf.mx/ojs/rmf/article/view/97

001.#.#.#: oai:ojs.rmf.smf.mx:article/97

041.#.7.h: eng

520.3.#.a: Weint end to use the description of the electron orbital trajectory in the de Broglie-Bohm (dBB) theory to assimilate to a geodesiccorresponding to the General Relativity (GR) and get from itphysicalconclusions. ThedBBapproachindicatesustheexistenceof a non-local quantumfield (correspondingwiththequantumpotential), anelectromagneticfield and a comparative lyveryweakgravitatoryfield, togetherwith a translationkineticenergyofelectron. Ifweadmitthatthosefields and kineticenergy can deformthespace time, according to Einstein'sfield equations (and to avoidtheviolationoftheequivalenceprinciple as well), we can madethehypothesisthatthegeodesicsof this space-time deformation coincide withtheorbitsbelonging to thedBBapproach (hypothesisthat is coherentwiththestabilityofmatter). Fromit, we deduce a general equation that relates thecomponentsofthemetric tensor. Thenwe find anappropriatemetric for it, bymodificationofanexactsolutionofEinstein'sfield equations, whichcorresponds to dust in cylindricalsymmetry. Thefoundmodelproofs to be in agreementwiththebasicphysicalfeaturesofthehydrogenquantum system, particularlywiththeindependenceoftheelectronkineticmomentum in relationwiththeorbit radius. Moreover, themodel can be done Minkowski-like for a macroscopicshortdistancewith a convenientelectionof a constant. According to this approach, theguiding function ofthewaveontheparticlecould be identifiedwiththedeformationsofthespace-time and thestabilityofmatterwould be easilyjustifiedbythe null accelerationcorresponding to a geodesicorbit.

773.1.#.t: Revista Mexicana de Física; Vol 64, No 1 Jan-Feb (2018): 18-29

773.1.#.o: https://rmf.smf.mx/ojs/rmf/index

046.#.#.j: 2020-11-25 00:00:00.000000

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310.#.#.a: Bimestral

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758.#.#.1: https://rmf.smf.mx/ojs/rmf/index

handle: 22fef76eab2397e4

harvesting_date: 2020-09-23 00:00:00.0

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last_modified: 2020-11-27 00:00:00

license_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es

license_type: by-nc-nd

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Artículo

Space time geometry in the atomic hydrogenoid system. Approach to a dust relativistic model from causal quantum mechanics

Gómez, G.; Kotsireas, I.; Gkigkitzis, I.; Haranas, I.; Fullana, M. J.

Facultad de Ciencias, UNAM, publicado en Revista Mexicana de Física, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Entidad o dependencia
Facultad de Ciencias, UNAM
Revista
Repositorio
Contacto
Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

Cita

Gómez, G., et al. (2018). Space time geometry in the atomic hydrogenoid system. Approach to a dust relativistic model from causal quantum mechanics. Revista Mexicana de Física; Vol 64, No 1 Jan-Feb: 18-29. Recuperado de https://repositorio.unam.mx/contenidos/4107752

Descripción del recurso

Autor(es)
Gómez, G.; Kotsireas, I.; Gkigkitzis, I.; Haranas, I.; Fullana, M. J.
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
Space time geometry in the atomic hydrogenoid system. Approach to a dust relativistic model from causal quantum mechanics
Fecha
2018-01-30
Resumen
Weint end to use the description of the electron orbital trajectory in the de Broglie-Bohm (dBB) theory to assimilate to a geodesiccorresponding to the General Relativity (GR) and get from itphysicalconclusions. ThedBBapproachindicatesustheexistenceof a non-local quantumfield (correspondingwiththequantumpotential), anelectromagneticfield and a comparative lyveryweakgravitatoryfield, togetherwith a translationkineticenergyofelectron. Ifweadmitthatthosefields and kineticenergy can deformthespace time, according to Einstein'sfield equations (and to avoidtheviolationoftheequivalenceprinciple as well), we can madethehypothesisthatthegeodesicsof this space-time deformation coincide withtheorbitsbelonging to thedBBapproach (hypothesisthat is coherentwiththestabilityofmatter). Fromit, we deduce a general equation that relates thecomponentsofthemetric tensor. Thenwe find anappropriatemetric for it, bymodificationofanexactsolutionofEinstein'sfield equations, whichcorresponds to dust in cylindricalsymmetry. Thefoundmodelproofs to be in agreementwiththebasicphysicalfeaturesofthehydrogenquantum system, particularlywiththeindependenceoftheelectronkineticmomentum in relationwiththeorbit radius. Moreover, themodel can be done Minkowski-like for a macroscopicshortdistancewith a convenientelectionof a constant. According to this approach, theguiding function ofthewaveontheparticlecould be identifiedwiththedeformationsofthespace-time and thestabilityofmatterwould be easilyjustifiedbythe null accelerationcorresponding to a geodesicorbit.
Tema
De Broglie Bohm; curvature of space time; metric tensor; general relativity; hydrogen-like atoms; electron trajectory; quantum potential; wave function; numerical methods; geodesics; Lorenz geometry.
Idioma
eng
ISSN
2683-2224 (digital); 0035-001X (impresa)

Enlaces