Existence of different intermediate Hamiltonians in type A -fold supersymmetry |
| |
Authors: | Bijan Bagchi Toshiaki Tanaka |
| |
Institution: | aDepartment of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700 009, India;bDepartment of Physics, National Cheng-Kung University, Tainan 701, Taiwan, ROC;cNational Center for Theoretical Sciences, Taiwan, ROC |
| |
Abstract: | Type A -fold supercharge admits a one-parameter family of factorizations into product of first-order linear differential operators due to an underlying symmetry. As a consequence, a type A -fold supersymmetric system can have different intermediate Hamiltonians corresponding to different factorizations. We derive the necessary and sufficient conditions for the latter system to possess intermediate Hamiltonians for the case. We then show that whenever it has (at least) one intermediate Hamiltonian, it can admit second-order parasupersymmetry and a generalized 2-fold superalgebra. As an illustration, we construct a set of generalized Pöschl–Teller potentials of this kind. |
| |
Keywords: | ![](http://www&prev_q=<a name=) ![](http://www) sciencedirect -fold supersymmetry" target="_blank">com/cache/MiamiImageURL/B6WB1-4X0F3XK-2-W/0?wchp=dGLbVlz-zSkzS" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=16 width="105"/>-fold supersymmetry Parasupersymmetry Factorization method Intertwining operators Pö schl– Teller potentials |
本文献已被 ScienceDirect 等数据库收录! |
|