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SUPERCONFORMAL QUANTUM MECHANICS VIA WIGNER–HEISENBERG ALGEBRA

2010/08/30 by H. L. CARRION, Hector L. Carrión, R. DE LIMA RODRIGUES +1
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Noncommutative and Quantum Gravity Theories #Black Holes and Theoretical Physics

paper · doi:10.1142/s0217732310033475

Abstract

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, p x ] = 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.

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