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Title: Generalized factorization and isospectral potentials

Journal Article · · Physical Review. A
;  [1]
  1. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700 108 (India)

It is shown that the method of using excited-state wave functions in constructing exactly solvable potentials as suggested by Berger and Ussembayev [Phys. Rev. A 82, 022121 (2010)] can be generalized further. Using this method, exactly solvable potentials related to the harmonic oscillator and some other potentials are obtained. The nonlinear symmetry algebras underlying the harmonic-oscillator models are also obtained explicitly.

OSTI ID:
21546903
Journal Information:
Physical Review. A, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevA.83.054102; (c) 2011 American Institute of Physics; ISSN 1050-2947
Country of Publication:
United States
Language:
English