Supersymmetric oscillator: Novel symmetries
Physics Department, Centre of Advanced Studies, Banaras Hindu University - Varanasi, 221 005, India
2 DST Centre for Interdisciplinary Mathematical Sciences, Faculty of Science, Banaras Hindu University Varanasi, 221 005, India
Accepted: 8 March 2012
We discuss various continuous and discrete symmetries of the supersymmetric simple harmonic oscillator (SHO) in one (0+1)-dimension of spacetime and show their relevance in the context of mathematics of differential geometry. We show the existence of a novel set of discrete symmetries in the theory which has, hitherto, not been discussed in the literature on theoretical aspects of SHO. We also point out the physical relevance of our present investigation.
PACS: 11.30.Pb – Supersymmetry / 03.65.-w – Quantum mechanics / 02.40.-k – Geometry, differential geometry, and topology
© EPLA, 2012