Superconformal quantum mechanics via Wigner Heisenberg algebra

We show the natural relation between the Wigner Hamiltonian and the conformal Hamiltonian. A model in (super)conformal quantum mechanics with (super)conformal symmetry in the Wigner–Heisenberg algebra picture [x, px] = i(1 + cP) (P being the parity operator) is presented. In this context, the energy...

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Principais autores: Salazar, Hector Leny Carrion, Rodrigues, R. de Lima
Formato: article
Idioma:English
Publicado em: World Scientific Publishing
Assuntos:
Superconformal
Conformal Hamiltonian
Wigner–Heisenberg algebra
Endereço do item:https://repositorio.ufrn.br/handle/123456789/30879
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spelling ri-123456789-308792020-12-13T08:01:46Z Superconformal quantum mechanics via Wigner Heisenberg algebra Salazar, Hector Leny Carrion Rodrigues, R. de Lima Superconformal Conformal Hamiltonian Wigner–Heisenberg algebra We show the natural relation between the Wigner Hamiltonian and the conformal Hamiltonian. A model in (super)conformal quantum mechanics with (super)conformal symmetry in the Wigner–Heisenberg algebra picture [x, px] = i(1 + cP) (P being the parity operator) is presented. In this context, the energy spectrum, the Casimir operator, raising and lowering operators are defined 2020-12-07T20:47:38Z 2020-12-07T20:47:38Z 2010-03-27 article CARRION, H. L.; RODRIGUES, R. de Lima. SSuperconformal quantum mechanics via Wigner Heisenberg algebra. Modern Physics Letters A, [S.L.], v. 25, n. 29, p. 2507-2521, 21 set. 2010. Disponível em: https://arxiv.org/abs/hep-th/0402034 Acesso em: 24 nov. 2020. http://dx.doi.org/10.1142/s0217732310033475. 0217-7323 1793-6632 https://repositorio.ufrn.br/handle/123456789/30879 10.1142/S0217732310033475 en Attribution-NonCommercial-NoDerivs 3.0 Brazil http://creativecommons.org/licenses/by-nc-nd/3.0/br/ application/pdf World Scientific Publishing
institution Repositório Institucional
collection RI - UFRN
language English
topic Superconformal
Conformal Hamiltonian
Wigner–Heisenberg algebra
spellingShingle Superconformal
Conformal Hamiltonian
Wigner–Heisenberg algebra
Salazar, Hector Leny Carrion
Rodrigues, R. de Lima
Superconformal quantum mechanics via Wigner Heisenberg algebra
description We show the natural relation between the Wigner Hamiltonian and the conformal Hamiltonian. A model in (super)conformal quantum mechanics with (super)conformal symmetry in the Wigner–Heisenberg algebra picture [x, px] = i(1 + cP) (P being the parity operator) is presented. In this context, the energy spectrum, the Casimir operator, raising and lowering operators are defined
format article
author Salazar, Hector Leny Carrion
Rodrigues, R. de Lima
author_facet Salazar, Hector Leny Carrion
Rodrigues, R. de Lima
author_sort Salazar, Hector Leny Carrion
title Superconformal quantum mechanics via Wigner Heisenberg algebra
title_short Superconformal quantum mechanics via Wigner Heisenberg algebra
title_full Superconformal quantum mechanics via Wigner Heisenberg algebra
title_fullStr Superconformal quantum mechanics via Wigner Heisenberg algebra
title_full_unstemmed Superconformal quantum mechanics via Wigner Heisenberg algebra
title_sort superconformal quantum mechanics via wigner heisenberg algebra
publisher World Scientific Publishing
publishDate 2020
url https://repositorio.ufrn.br/handle/123456789/30879
work_keys_str_mv AT salazarhectorlenycarrion superconformalquantummechanicsviawignerheisenbergalgebra
AT rodriguesrdelima superconformalquantummechanicsviawignerheisenbergalgebra
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