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Quantum States of an Eletcron in a Uniform Magnetic Field

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Author(s):
Mário César Baldiotti
Total Authors: 1
Document type: Master's Dissertation
Press: São Paulo. , ilustrações.
Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
Defense date:
Examining board members:
Dmitri Maximovitch Guitman; Bruto Max Pimentel Escobar; Josif Frenkel
Advisor: Dmitri Maximovitch Guitman
Field of knowledge: Physical Sciences and Mathematics - Physics
Indexed in: Banco de Dados Bibliográficos da USP-DEDALUS; Biblioteca Digital de Teses e Dissertações - USP
Location: Universidade de São Paulo. Biblioteca do Instituto de Física; IF/530.12; B177e
Abstract

We demonstrate how one can describe explicitly the present arbitrariness in solutions of relativistic wave equations in external electromagnetic fields of special form. This arbitrariness is connected to the existence of a transformation, which reduces effectively the number of variables in the initial equations. Then we use the corresponding representations to construct new sets of exact solutions, which may have a physical interest, and to construct the evolution function to the Klein-Gordon equation. As resulted, we present new sets of stationary and nonstationary solutions in magnetic field and in some superpositions of electric and magnetic fields. (AU)