Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500438 | Reports on Mathematical Physics | 2016 | 14 Pages |
Abstract
While dealing in [1] with the supersymmetry of a tridiagonal Hamiltonian H, we have proved that its partner Hamiltonian H(+) also has a tridiagonal matrix representation in the same basis and that the polynomials associated with the eigenstates expansion of H(+) are precisely the kernel polynomials of those associated with H. This formalism is here applied to the case of the Morse oscillator which may have a finite discrete energy spectrum in addition to a continuous one. This completes the treatment of tridiagonal Hamiltonians with pure continuous energy spectrum, a pure discrete one, or a spectrum of mixed discrete and continous parts.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Hashim A. Yamani, Zouhaïr Mouayn,