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NEURAL NETWORK APPROACH FOR THE CALCULATION OF POTENTIAL COEFFICIENTS IN QUANTUM MECHANICS

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dc.creatorPATRICIO ANDRÉS CUMSILLE ATALA
dc.creatorCARLOS MARAT REYES MARTÍNEZ
dc.date2017
dc.date.accessioned2025-01-10T14:55:52Z
dc.date.available2025-01-10T14:55:52Z
dc.date.issued2017
dc.description.abstractA NUMERICAL METHOD BASED ON ARTIFICIAL NEURAL NETWORKS IS USED TO SOLVE THE INVERSE SCHRÖDINGER EQUATION FOR A MULTI-PARAMETER CLASS OF POTENTIALS. FIRST, THE FINITE ELEMENT METHOD WAS USED TO SOLVE REPEATEDLY THE DIRECT PROBLEM FOR DIFFERENT PARAMETRIZATIONS OF THE CHOSEN POTENTIAL FUNCTION. THEN, USING THE ATTAINABLE EIGENVALUES AS A TRAINING SET OF THE DIRECT RADIAL BASIS NEURAL NETWORK A MAP OF NEW EIGENVALUES WAS OBTAINED. THIS RELATIONSHIP WAS LATER INVERTED AND REFINED BY TRAINING AN INVERSE RADIAL BASIS NEURAL NETWORK, ALLOWING THE CALCULATION OF THE UNKNOWN PARAMETERS AND THEREFORE ESTIMATING THE POTENTIAL FUNCTION. THREE NUMERICAL EXAMPLES ARE PRESENTED IN ORDER TO PROVE THE EFFECTIVENESS OF THE METHOD. THE RESULTS SHOW THAT THE METHOD PROPOSED HAS THE ADVANTAGE TO USE LESS COMPUTATIONAL RESOURCES WITHOUT A SIGNIFICANT ACCURACY LOSS.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.cpc.2017.01.006
dc.identifier.issn1879-2944
dc.identifier.issn0010-4655
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/9609
dc.languagespa
dc.publisherCOMPUTER PHYSICS COMMUNICATIONS
dc.relation.uri10.1016/j.cpc.2017.01.006
dc.rightsPUBLICADA
dc.titleNEURAL NETWORK APPROACH FOR THE CALCULATION OF POTENTIAL COEFFICIENTS IN QUANTUM MECHANICS
dc.title.alternativeENFOQUE DE REDES NEURONALES PARA EL CÁLCULO DE COEFICIENTES DE POTENCIAL EN MECÁNICA CUÁNTICA
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
ubb.SedeCHILLÁN
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