中文

Isospectral partners for a complex PT-invariant potential

量子物理 2015-06-26 v1

摘要

We construct isospectral partner potentials of a complex PT-invariant potential, viz., V(x) = V_1 sech ^2 x - i V_2 sech x tanh x using Darboux's method. Oneset of isospectral potentials are obatined which can be termed 'Satellite potentials', in the sense that they are pf the same form as the original potential. In a particular case, the supersymmetric partner potential has the same spectrum, including the zero energy ground state, a fact which cannot occur in conventional supersymmetric quantum mechanics with real potential. An explicit example of a non-trivial set of isospectral potential is also obtained.

引用

@article{arxiv.quant-ph/0205124,
  title  = {Isospectral partners for a complex PT-invariant potential},
  author = {Anjana Sinha and Rajkumar Roychoudhury},
  journal= {arXiv preprint arXiv:quant-ph/0205124},
  year   = {2015}
}

备注

14 pages, 2 figures