2 papers
math-ph2021
Perturbation Theory for the Thermal Hamiltonian: 1D Case
Giuseppe De Nittis, Vicente Lenz
This work continues the study of the thermal Hamiltonian, initially proposed by J. M. Luttinger in 1964 as a model for the conduction of thermal currents in solids. The previous wo…
math-ph2020
Spectral Theory of the Thermal Hamiltonian: 1D Case
Giuseppe De Nittis, Vicente Lenz
In 1964 J. M. Luttinger introduced a model for the quantum thermal transport. In this paper we study the spectral theory of the Hamiltonian operator associated to the Luttinger's m…