Ad hoc physical Hilbert spaces in Quantum Mechanics

The overall principles of what is now widely known as PT-symmetric quantum mechanics are listed, explained and illustrated via a few examples. In particular, models based on an elementary local interaction V(x) are discussed as motivated by the naturally emergent possibility of an efficient regulari...

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Detalles Bibliográficos
Autores principales:	Fernández, Francisco Marcelo, García, Javier, Semorádová, Iveta, Znojil, Miloslav
Formato:	Articulo Preprint
Lenguaje:	Inglés
Publicado:	2014
Materias:	Física Tt symmetry Singular interaction Regularization Perturbation theory
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/97169 https://ri.conicet.gov.ar/11336/5154 http://arxiv.org/abs/1405.7284 http://link.springer.com/article/10.1007%2Fs10773-014-2376-2
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-97169
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Tt symmetry Singular interaction Regularization Perturbation theory
spellingShingle	Física Tt symmetry Singular interaction Regularization Perturbation theory Fernández, Francisco Marcelo García, Javier Semorádová, Iveta Znojil, Miloslav Ad hoc physical Hilbert spaces in Quantum Mechanics
topic_facet	Física Tt symmetry Singular interaction Regularization Perturbation theory
description	The overall principles of what is now widely known as PT-symmetric quantum mechanics are listed, explained and illustrated via a few examples. In particular, models based on an elementary local interaction V(x) are discussed as motivated by the naturally emergent possibility of an efficient regularization of an otherwise unacceptable presence of a strongly singular repulsive core in the origin. The emphasis is put on the constructive aspects of the models. Besides the overall outline of the formalism we show how the low-lying energies of bound states may be found in closed form in certain dynamical regimes. Finally, once these energies are found real we explain that in spite of a manifest non-Hermiticity of the Hamiltonian the time-evolution of the system becomes unitary in a properly amended physical Hilbert space.
format	Articulo Preprint
author	Fernández, Francisco Marcelo García, Javier Semorádová, Iveta Znojil, Miloslav
author_facet	Fernández, Francisco Marcelo García, Javier Semorádová, Iveta Znojil, Miloslav
author_sort	Fernández, Francisco Marcelo
title	Ad hoc physical Hilbert spaces in Quantum Mechanics
title_short	Ad hoc physical Hilbert spaces in Quantum Mechanics
title_full	Ad hoc physical Hilbert spaces in Quantum Mechanics
title_fullStr	Ad hoc physical Hilbert spaces in Quantum Mechanics
title_full_unstemmed	Ad hoc physical Hilbert spaces in Quantum Mechanics
title_sort	ad hoc physical hilbert spaces in quantum mechanics
publishDate	2014
url	http://sedici.unlp.edu.ar/handle/10915/97169 https://ri.conicet.gov.ar/11336/5154 http://arxiv.org/abs/1405.7284 http://link.springer.com/article/10.1007%2Fs10773-014-2376-2
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bdutipo_str	Repositorios
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Ad hoc physical Hilbert spaces in Quantum Mechanics

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