dc.contributorDe Nittis, Giuseppe
dc.contributorUNIVERSIDAD DE CHILE
dc.creatorLenz-Burnier, Vicente
dc.date2020-11-06T18:19:52Z
dc.date2022-08-16T19:13:29Z
dc.date2020-11-06T18:19:52Z
dc.date2022-08-16T19:13:29Z
dc.date2020
dc.date.accessioned2023-08-22T02:44:55Z
dc.date.available2023-08-22T02:44:55Z
dc.identifier22172276
dc.identifierhttps://hdl.handle.net/10533/246426
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8311825
dc.descriptionWe will study the operator HT , called the Thermal Hamiltonian, originally pro- posed by Luttinger to study the e↵ects of a thermal gradient in the matter. We will start by rigurously defining the initially formally self-adjoint operator HT , as well as some unitarily equivalent operators. Then we will study their spectral prop- erties, and compute their unperturbed time evolution, as their Green functions and resolvent family. We will conclude that section by presenting a convolution poten- tials family for which the scattering conditions are satisfied. Finally we will study the dynamics defined by the classical case.
dc.formatapplication/pdf
dc.relationinstname: Conicyt
dc.relationreponame: Repositorio Digital RI2.0
dc.relationinfo:eu-repo/grantAgreement//22172276
dc.relationinfo:eu-repo/semantics/dataset/hdl.handle.net/10533/93488
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Chile
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.subjectCiencias Naturales
dc.subjectMatemáticas
dc.titleSpectral Theory of the Thermal Hamiltonian
dc.typeinfo:eu-repo/semantics/masterThesis
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeTesis


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