Alternative analysis to perturbation theory in quantum mechanics: Dyson series in matrix form

dc.creatorJUAN MARTINEZ CARRANZA
dc.creatorFRANCISCO SOTO EGUIBAR
dc.creatorHéctor Manuel Moya Cessa
dc.date2012
dc.date.accessioned2023-07-25T16:24:16Z
dc.date.available2023-07-25T16:24:16Z
dc.identifierhttp://inaoe.repositorioinstitucional.mx/jspui/handle/1009/1760
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7806952
dc.descriptionWe develop an alternative approach to the time independent perturbation theory in nonrelativistic quantum mechanics. The method developed has the advantage to provide in one operation the correction to the energy and to the wave function; additionally we can analyze the time evolution of the system for any initial condition, which may be bothersome in the standard method. To verify our results, we apply our method to the harmonic oscillator perturbed by a quadratic potential. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained.
dc.formatapplication/pdf
dc.languageeng
dc.publisherThe European Physical Journal D
dc.relationcitation:Martínez Carranza, J., et al., (2012), Alternative analysis to perturbation theory in quantum mechanics: Dyson series in matrix form, The European Physical Journal D, Vol.66(22):1-6
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectinfo:eu-repo/classification/Inspec/Quantum mechanics
dc.subjectinfo:eu-repo/classification/cti/1
dc.subjectinfo:eu-repo/classification/cti/22
dc.subjectinfo:eu-repo/classification/cti/2209
dc.subjectinfo:eu-repo/classification/cti/2209
dc.titleAlternative analysis to perturbation theory in quantum mechanics: Dyson series in matrix form
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion
dc.audiencestudents
dc.audienceresearchers
dc.audiencegeneralPublic


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