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Article overview
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Supersymmetry of the Morse oscillator | Hashim A Yamani
; Zouhair Mouayn
; | Date: |
1 Aug 2015 | Abstract: | While dealing in [1] with the supersymmetry of a tridiagonal Hamiltonian H,
we have proved that its partner Hamiltonian H(+) also have 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. | Source: | arXiv, 1508.0134 | Services: | Forum | Review | PDF | Favorites |
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