Exceptional polynomials and SUSY quantum mechanics
K V S Shiv Chaitanya S Sree Ranjani Prasanta K Panigrahi R Radhakrishnan V Srinivasan
Click here to view fulltext PDF
Permanent link:
https://www.ias.ac.in/article/fulltext/pram/085/01/0053-0063
We show that for the quantum mechanical problem which admit classical Laguerre/Jacobi polynomials as solutions for the Schrödinger equations (SE), will also admit exceptional Laguerre/Jacobi polynomials as solutions having the same eigenvalues but with the ground state missing after a modification of the potential. Then, we claim that the existence of these exceptional polynomials leads to the presence of non-trivial supersymmetry.
K V S Shiv Chaitanya1 S Sree Ranjani2 Prasanta K Panigrahi3 R Radhakrishnan4 V Srinivasan4
Volume 96, 2022
All articles
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode
© 2021-2022 Indian Academy of Sciences, Bengaluru.