Publicação: Energy-dependent point interaction: Self-adjointness
Carregando...
Data
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Natl Research Council Canada-n R C Research Press
Tipo
Artigo
Direito de acesso
Acesso restrito
Resumo
Recently, we constructed an energy-dependent point interaction (EDPI) in its most general form in one-dimensional quantum mechanics. In this paper, we show that stationary solutions of the Schrodinger equation with the EDPI form a complete set. Then any nonstationary solution of the time-dependent Schrodinger equation can be expressed as a linear combination of stationary solutions. This, however, does not necessarily mean that the EDPI is self-adjoint and the time-development of the nonstationary state is unitary. The EDPI is self-adjoint provided that the stationary solutions are all orthogonal to one another. We illustrate situations in which this orthogonality condition is not satisfied.
Descrição
Palavras-chave
Idioma
Inglês
Como citar
Canadian Journal of Physics. Ottawa: Natl Research Council Canada-n R C Research Press, v. 84, n. 11, p. 991-1005, 2006.
