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Superconformal Quantum Mechanics via Wigner-Heisenberg Algebra | | H. L. Carrion
; R. de Lima Rodrigues
; | | Date: |
4 Feb 2004 | | Subject: | hep-th | | Abstract: | We show the natural relation between the Wigner Hamiltonian and the conformal Hamiltonian. It is presented a model in (super)conformal quantum mechanics with (super)conformal symmetry in the Wigner-Heisenberg algebra picture $ [x,p_{x}]= i(1+c{f P})$ (${f P}$ being the parity operator). In this context, the energy spectrum, the Casimir operator, creation and annihilation operators are defined. This superconformal Hamiltonian is similar to the super-Hamiltonian of the Calogero model and it is also an extension of the super-Hamiltonian for the Dirac Oscillator. | | Source: | arXiv, hep-th/0402034 | | Services: | Forum | Review | PDF | Favorites | |
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