Hamiltonians for Two-Anyon Systems
We study the well-posedness of the Hamiltonian of a system of two anyons in the magnetic gauge. We identify all the possible quadratic forms realizing such an operator for non-interacting anyons and prove their closedness and boundedness from below. We then show that the corresponding self-adjoint o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2018-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | http://www1.mat.uniroma1.it/ricerca/rendiconti/39_2_(2018)_277-292.html |
| _version_ | 1819240519316799488 |
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| author | Michele Correggi Luca Oddis |
| author_facet | Michele Correggi Luca Oddis |
| author_sort | Michele Correggi |
| collection | DOAJ |
| description | We study the well-posedness of the Hamiltonian of a system of two anyons in the magnetic gauge. We identify all the possible quadratic forms realizing such an operator for non-interacting anyons and prove their closedness and boundedness from below. We then show that the corresponding self-adjoint operators give rise to a one-parameter family of extensions of the naive two-anyon Schrödinger operator. We finally extend the results in presence of a two-body radial interaction. |
| first_indexed | 2024-12-23T14:09:18Z |
| format | Article |
| id | doaj.art-d8a2b39f54c24bde86f15b08821fca6f |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-12-23T14:09:18Z |
| publishDate | 2018-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-d8a2b39f54c24bde86f15b08821fca6f2022-12-21T17:44:06ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502018-01-0139277292Hamiltonians for Two-Anyon SystemsMichele Correggi0Luca Oddis1Department of Mathematics Guido Castelnuovo, University of Rome "La Sapienza"Department of Mathematics Guido Castelnuovo, University of Rome "La Sapienza"We study the well-posedness of the Hamiltonian of a system of two anyons in the magnetic gauge. We identify all the possible quadratic forms realizing such an operator for non-interacting anyons and prove their closedness and boundedness from below. We then show that the corresponding self-adjoint operators give rise to a one-parameter family of extensions of the naive two-anyon Schrödinger operator. We finally extend the results in presence of a two-body radial interaction.http://www1.mat.uniroma1.it/ricerca/rendiconti/39_2_(2018)_277-292.htmlAnyonsfractional statisticsAharonov-Bohm potentials |
| spellingShingle | Michele Correggi Luca Oddis Hamiltonians for Two-Anyon Systems Rendiconti di Matematica e delle Sue Applicazioni Anyons fractional statistics Aharonov-Bohm potentials |
| title | Hamiltonians for Two-Anyon Systems |
| title_full | Hamiltonians for Two-Anyon Systems |
| title_fullStr | Hamiltonians for Two-Anyon Systems |
| title_full_unstemmed | Hamiltonians for Two-Anyon Systems |
| title_short | Hamiltonians for Two-Anyon Systems |
| title_sort | hamiltonians for two anyon systems |
| topic | Anyons fractional statistics Aharonov-Bohm potentials |
| url | http://www1.mat.uniroma1.it/ricerca/rendiconti/39_2_(2018)_277-292.html |
| work_keys_str_mv | AT michelecorreggi hamiltoniansfortwoanyonsystems AT lucaoddis hamiltoniansfortwoanyonsystems |