Publication
Relativistic particle in a three-dimensional box
| Summary: | We generalize the work of Alberto, Fiolhais and Gil and solve the problem of a Dirac particle confined in a 3-dimensional box. The non-relativistic and ultra-relativistic limits are considered and it is shown that the size of the box determines how relativistic the low-lying states are. The consequences for the density of states of a relativistic fermion gas are briefly discussed. |
|---|---|
| Main Authors: | Alberto, Pedro |
| Other Authors: | Das, Saurya; Vagenas, Elias |
| Subject: | Relativistic Quantum Mechanics |
| Year: | 2011 |
| Country: | Portugal |
| Document type: | article |
| Access type: | embargoed access |
| Associated institution: | Universidade de Coimbra |
| Language: | English |
| Origin: | Estudo Geral - Universidade de Coimbra |
| _version_ | 1877780133025153024 |
|---|---|
| author | Alberto, Pedro |
| author2 | Das, Saurya Vagenas, Elias |
| author2_role | author author |
| author_facet | Alberto, Pedro Das, Saurya Vagenas, Elias |
| author_role | author |
| contributor_name_str_mv | Estudo Geral |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Alberto, Pedro\"},{\"Person.name\":\"Das, Saurya\"},{\"Person.name\":\"Vagenas, Elias\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | Estudo Geral |
| datacite.creators.creator.creatorName.fl_str_mv | Alberto, Pedro Das, Saurya Vagenas, Elias |
| datacite.date.Accepted.fl_str_mv | 2011-03-21T00:00:00Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_f1cf |
| datacite.subjects.subject.fl_str_mv | Relativistic Quantum Mechanics |
| datacite.titles.title.fl_str_mv | Relativistic particle in a three-dimensional box |
| dc.contributor.none.fl_str_mv | Estudo Geral |
| dc.creator.none.fl_str_mv | Alberto, Pedro Das, Saurya Vagenas, Elias |
| dc.date.Accepted.fl_str_mv | 2011-03-21T00:00:00Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | https://hdl.handle.net/10316/14794 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Elsevier |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_f1cf |
| dc.subject.none.fl_str_mv | Relativistic Quantum Mechanics |
| dc.title.fl_str_mv | Relativistic particle in a three-dimensional box |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | We generalize the work of Alberto, Fiolhais and Gil and solve the problem of a Dirac particle confined in a 3-dimensional box. The non-relativistic and ultra-relativistic limits are considered and it is shown that the size of the box determines how relativistic the low-lying states are. The consequences for the density of states of a relativistic fermion gas are briefly discussed. |
| dirty | 0 |
| eu_rights_str_mv | embargoedAccess |
| format | article |
| id | estudogl_cec73f6da03bd29d5158209c9eb13481 |
| identifier.url.fl_str_mv | https://hdl.handle.net/10316/14794 |
| inst_facet_str | urn:organizationAcronym:uc{{{_:::_}}}Universidade de Coimbra |
| instacron_str | uc |
| institution | Universidade de Coimbra |
| instname_str | Universidade de Coimbra |
| language | eng |
| network_acronym_str | estudogl |
| network_name_str | Estudo Geral - Universidade de Coimbra |
| oai_identifier_str | oai:estudogeral.uc.pt:10316/14794 |
| organization_str_mv | urn:organizationAcronym:uc |
| person_str_mv | Alberto, Pedro Das, Saurya Vagenas, Elias |
| publishDate | 2011 |
| publisher.none.fl_str_mv | Elsevier |
| repo_facet_str | urn:repositoryAcronym:estudogl{{{_:::_}}}Estudo Geral - Universidade de Coimbra |
| reponame_str | Estudo Geral - Universidade de Coimbra |
| repository_id_str | urn:repositoryAcronym:estudogl |
| service_str_mv | urn:repositoryAcronym:estudogl |
| spelling | engElsevierengWe generalize the work of Alberto, Fiolhais and Gil and solve the problem of a Dirac particle confined in a 3-dimensional box. The non-relativistic and ultra-relativistic limits are considered and it is shown that the size of the box determines how relativistic the low-lying states are. The consequences for the density of states of a relativistic fermion gas are briefly discussed.application/pdfporRelativistic particle in a three-dimensional boxAlberto, PedroDas, SauryaVagenas, EliasHostingInstitutionOrganizationalEstudo Gerale-mailmailto:inf@sib.uc.ptinf@sib.uc.ptISBNIsPartOfdoi:10.1016/j.physleta.2011.02.030DOIIsPartOf10.1016/j.physleta.2011.02.0302011-03-212011-03-21T00:00:00ZHandlehttps://hdl.handle.net/10316/14794http://purl.org/coar/access_right/c_f1cfembargoed accessRelativistic Quantum Mechanics193110 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articleapplication/pdfhttps://estudogeral.uc.pt/bitstream/10316/14794/1/3D_particle10.pdf |
| spellingShingle | Relativistic particle in a three-dimensional box Alberto, Pedro Relativistic Quantum Mechanics |
| status | SINGLETON |
| subject.fl_str_mv | Relativistic Quantum Mechanics |
| title | Relativistic particle in a three-dimensional box |
| title_full | Relativistic particle in a three-dimensional box |
| title_fullStr | Relativistic particle in a three-dimensional box |
| title_full_unstemmed | Relativistic particle in a three-dimensional box |
| title_short | Relativistic particle in a three-dimensional box |
| title_sort | Relativistic particle in a three-dimensional box |
| topic | Relativistic Quantum Mechanics |
| topic_facet | Relativistic Quantum Mechanics |
| url | https://hdl.handle.net/10316/14794 |
| visible | 1 |
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