The quantum mechanical current of the Pauli equation
Autor(a) principal: | |
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Data de Publicação: | 1999 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1119/1.19149 http://hdl.handle.net/11449/224145 |
Resumo: | We argue that the process of constructing the quantum mechanical current of the Pauli equation by copying the line of argument used in the spin-0 case, i.e., the Schrödinger equation, is ambiguous. We show that a nonrelativistic reduction of the relativistic Dirac four-vector current is, however, capable of fully resolving the problem. This analysis reveals that the nonrelativistic current of the Pauli equation should include an extra term of the form ∇×(ψ†σψ). We present an initial exploration of the potential consequences of this new spin term by solving the Pauli equation for crossed magnetic and electric fields and calculating the corresponding current. © 1999 American Association of Physics Teachers. |
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Repositório Institucional da UNESP |
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spelling |
The quantum mechanical current of the Pauli equationWe argue that the process of constructing the quantum mechanical current of the Pauli equation by copying the line of argument used in the spin-0 case, i.e., the Schrödinger equation, is ambiguous. We show that a nonrelativistic reduction of the relativistic Dirac four-vector current is, however, capable of fully resolving the problem. This analysis reveals that the nonrelativistic current of the Pauli equation should include an extra term of the form ∇×(ψ†σψ). We present an initial exploration of the potential consequences of this new spin term by solving the Pauli equation for crossed magnetic and electric fields and calculating the corresponding current. © 1999 American Association of Physics Teachers.Inst. de Fisica Teorica Universidade de Estadual Paulista, Rua Pamplona 145, 01405-900 São PauloGrup de Física Teòrica Univ. Autònoma de Barcelona, 08193 BellaterraInst. de Fisica Teorica Universidade de Estadual Paulista, Rua Pamplona 145, 01405-900 São PauloUniversidade Estadual Paulista (UNESP)Univ. Autònoma de BarcelonaNowakowski, Marek [UNESP]2022-04-28T19:54:55Z2022-04-28T19:54:55Z1999-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article916-919http://dx.doi.org/10.1119/1.19149American Journal of Physics, v. 67, n. 10, p. 916-919, 1999.0002-9505http://hdl.handle.net/11449/22414510.1119/1.191492-s2.0-0033408313Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAmerican Journal of Physicsinfo:eu-repo/semantics/openAccess2022-04-28T19:54:55Zoai:repositorio.unesp.br:11449/224145Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:15:02.237851Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
The quantum mechanical current of the Pauli equation |
title |
The quantum mechanical current of the Pauli equation |
spellingShingle |
The quantum mechanical current of the Pauli equation Nowakowski, Marek [UNESP] |
title_short |
The quantum mechanical current of the Pauli equation |
title_full |
The quantum mechanical current of the Pauli equation |
title_fullStr |
The quantum mechanical current of the Pauli equation |
title_full_unstemmed |
The quantum mechanical current of the Pauli equation |
title_sort |
The quantum mechanical current of the Pauli equation |
author |
Nowakowski, Marek [UNESP] |
author_facet |
Nowakowski, Marek [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Univ. Autònoma de Barcelona |
dc.contributor.author.fl_str_mv |
Nowakowski, Marek [UNESP] |
description |
We argue that the process of constructing the quantum mechanical current of the Pauli equation by copying the line of argument used in the spin-0 case, i.e., the Schrödinger equation, is ambiguous. We show that a nonrelativistic reduction of the relativistic Dirac four-vector current is, however, capable of fully resolving the problem. This analysis reveals that the nonrelativistic current of the Pauli equation should include an extra term of the form ∇×(ψ†σψ). We present an initial exploration of the potential consequences of this new spin term by solving the Pauli equation for crossed magnetic and electric fields and calculating the corresponding current. © 1999 American Association of Physics Teachers. |
publishDate |
1999 |
dc.date.none.fl_str_mv |
1999-01-01 2022-04-28T19:54:55Z 2022-04-28T19:54:55Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1119/1.19149 American Journal of Physics, v. 67, n. 10, p. 916-919, 1999. 0002-9505 http://hdl.handle.net/11449/224145 10.1119/1.19149 2-s2.0-0033408313 |
url |
http://dx.doi.org/10.1119/1.19149 http://hdl.handle.net/11449/224145 |
identifier_str_mv |
American Journal of Physics, v. 67, n. 10, p. 916-919, 1999. 0002-9505 10.1119/1.19149 2-s2.0-0033408313 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
American Journal of Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
916-919 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129409013514240 |