Algebraic and scattering aspects of a PT symmetric solvable model
Feb, 20016 pages
Published in:
- J.Phys.A 34 (2001) 839-844
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Abstract: (IOP)
We study a particular solvable potential and analyse the effect ofsymmetry on its bound state as well as scattering solutions. We determine the transmission and reflection coefficients for the-symmetric case and also formulate the problem in terms of anSU(1,1)potential group, which allows unified treatment of the discrete and the continuous spectra in a natural way. We find that (bound and scattering) states of the-symmetric problem supply a basis for the unitary irreducible representations of theSU(1,1)potential group, and this gives a straightforward group theoretical interpretation of the fact that the (complex)-invariant potential has a real energy spectrum.References(12)
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