Quantum Physics

    

Tamm-Davydov Algorithm

Authors: Marcello Colozzo

The Hamiltonian operator of a one-dimensional nonrelativistic quantum system, consisting of a particle of mass m subjected to a periodic potential energy V(x) in the coordinate x, admits exclusively eigenfunctions in the improper sense. In this work, we show that a sufficient condition for the Hamiltonian to be endowed with eigenfunctions in the proper sense is constituted by a suitable local violation of the periodicity of the function V(x).

Comments: 11 Pages.

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[v1] 2024-09-23 11:54:22

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