CONTRACTION OF HIGHER ORDER DERIVATIVE SUSY ALGEBRAS IN QUANTUM MECHANICS WITH LARGE ENERGY GAP
- 7 June 1996
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A
- Vol. 11 (17) , 1417-1428
- https://doi.org/10.1142/s0217732396001429
Abstract
Starting from a polynomial (higher-order derivative) quantum mechanical SUSY algebra we study its contraction to the standard SUSYQM in the limit of large energy shifts between the lowest states of the super-Hamiltonian (of Schrödinger type). By a quasi-linearization method we obtain the charges of the higher derivative SUSY algebra in the (singular) limit of infinite energy gap, and find the resulting Hamiltonian. The singular behavior of the potential generated by this construction reflects the existence of the very deep level. Our results can suggest constructions of toy models where large energy splittings between fermionic and bosonic partners do not affect SUSY for other states.Keywords
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