Classes of exact wavefunctions for general time-dependent Dirac Hamiltonians in 1+1 dimensions
A. S. de Castro, A. de Souza Dutra
TL;DR
This paper constructs two classes of exact solutions for the most general time-dependent Dirac Hamiltonian in 1+1 dimensions, addressing formal solution issues and exploring a related invariant.
Contribution
It introduces two new classes of exact solutions for general time-dependent Dirac Hamiltonians in 1+1 dimensions and discusses their connection to a generalized Lewis-Riesenfeld invariant.
Findings
Two classes of exact solutions are constructed.
Discussion of formal solution issues in existing literature.
Connection to a generalized Lewis-Riesenfeld invariant.
Abstract
In this work we construct two classes of exact solutions for the most general time-dependent Dirac Hamiltonian in 1+1 dimensions. Some problems regarding to some formal solutions in the literature are discussed. Finally the existence of a generalized Lewis-Riesenfeld invariant connected with such solutions is discussed.
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