Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator

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dc.creatorRibeiro Junior, Marcos C. R.
dc.creatorCunha, Márcio M.
dc.creatorFilgueiras, Cleverson
dc.creatorSilva, Edilberto O.
dc.date.accessioned2021-06-10T19:22:44Z
dc.date.available2021-06-10T19:22:44Z
dc.date.issued2020-12
dc.description.abstractThe geometric potential in quantum mechanics has been attracted attention recently, providing a formalism to investigate the influence of curvature in the context of low-dimensional systems. In this paper, we study the consequences of a helicoidal geometry in the Schrödinger equation dealing with an anisotropic mass tensor. In particular, we solve the problem of an harmonic oscillator in this scenario. For some specific conditions, we determine the wavefunction in terms of Confluent Heun Functions and compute the respective energy. The system exhibit several different behaviors, depending on the adjustment on the mass components.pt_BR
dc.identifier.citationRIBEIRO JUNIOR, M. C. R. et al. Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator. Physics Open, [S. I.], v. 5, Dec. 2020. DOI: https://doi.org/10.1016/j.physo.2020.100045.pt_BR
dc.identifier.urihttps://repositorio.ufla.br/handle/1/46511
dc.languageenpt_BR
dc.publisherElsevierpt_BR
dc.rightsacesso abertopt_BR
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourcePhysics Openpt_BR
dc.subjectGeometric potentialpt_BR
dc.subjectHelicoidal geometrypt_BR
dc.subjectHarmonic oscillatorpt_BR
dc.subjectPartículas quânticaspt_BR
dc.subjectGeometria helicoidalpt_BR
dc.subjectOscilador harmônicopt_BR
dc.titleQuantum particle motion on the surface of a helicoid in the presence of an harmonic oscillatorpt_BR
dc.typeArtigopt_BR

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