Thouless theorem for one and two degrees of freedom

Thouless theorem for one and two degrees of freedom

We perform an accessible demonstration of Thouless theorem for systems of one and two degrees of freedom, using only elementary quantum mechanics. This theorem is specially useful to ¯nd the vacuum of a transformed set of bosonic operators. A further motivation comes from experiments involving few trapped ions or ¯elds in cavity quantum electrodynamics, usually modelled by few linearly interacting oscillators.

Saved in:
Bibliographic Details
Main Authors: Magalhães,A.R. Bosco de, Fonseca,C.H. d'Àvila, Nemes,M.C.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2006
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172006000200007
Tags: Add Tag
No Tags, Be the first to tag this record!
id oai:scielo:S1806-11172006000200007
record_format ojs
spelling oai:scielo:S1806-111720060002000072006-10-16Thouless theorem for one and two degrees of freedomMagalhães,A.R. Bosco deFonseca,C.H. d'ÀvilaNemes,M.C. quantum oscillators variables transformations bosonic systems We perform an accessible demonstration of Thouless theorem for systems of one and two degrees of freedom, using only elementary quantum mechanics. This theorem is specially useful to ¯nd the vacuum of a transformed set of bosonic operators. A further motivation comes from experiments involving few trapped ions or ¯elds in cavity quantum electrodynamics, usually modelled by few linearly interacting oscillators.info:eu-repo/semantics/openAccessSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física v.28 n.2 20062006-06-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172006000200007en
institution SCIELO
collection OJS
country Brasil
countrycode BR
component Revista
access En linea
databasecode rev-scielo-br
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Magalhães,A.R. Bosco de
Fonseca,C.H. d'Àvila
Nemes,M.C.
spellingShingle Magalhães,A.R. Bosco de
Fonseca,C.H. d'Àvila
Nemes,M.C.
Thouless theorem for one and two degrees of freedom
author_facet Magalhães,A.R. Bosco de
Fonseca,C.H. d'Àvila
Nemes,M.C.
author_sort Magalhães,A.R. Bosco de
title Thouless theorem for one and two degrees of freedom
title_short Thouless theorem for one and two degrees of freedom
title_full Thouless theorem for one and two degrees of freedom
title_fullStr Thouless theorem for one and two degrees of freedom
title_full_unstemmed Thouless theorem for one and two degrees of freedom
title_sort thouless theorem for one and two degrees of freedom
description We perform an accessible demonstration of Thouless theorem for systems of one and two degrees of freedom, using only elementary quantum mechanics. This theorem is specially useful to ¯nd the vacuum of a transformed set of bosonic operators. A further motivation comes from experiments involving few trapped ions or ¯elds in cavity quantum electrodynamics, usually modelled by few linearly interacting oscillators.
publisher Sociedade Brasileira de Física
publishDate 2006
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172006000200007
work_keys_str_mv AT magalhaesarboscode thoulesstheoremforoneandtwodegreesoffreedom
AT fonsecachdavila thoulesstheoremforoneandtwodegreesoffreedom
AT nemesmc thoulesstheoremforoneandtwodegreesoffreedom
_version_ 1756430589938892800

Similar Items