N-order Darboux transformation and a spectral problem on semiaxis

Details N-order Darboux transformation and a spectral problem on semiaxis N-order Darboux transformation and a spectral problem on semiaxis

1998-04-13

arxiv.org/abs/quant-ph/9804032v1

Physics

Quantum Physics

Scientific paper

N-order Darboux transformation operator is defined on the basis of a general
notion of transformation operators. Factorisation properties of this operator
are studied. The Darboux transformation operator technique is applied to
construct and investigate potentials with bound states at arbitrary energies
for the spectral problem on semiaxis.

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