Quantum models with spectrum generated by the flows of polynomial zeros

@article{Moroz2014QuantumMW,
  title={Quantum models with spectrum generated by the flows of polynomial zeros},
  author={Alexander Moroz},
  journal={Journal of Physics A},
  year={2014},
  volume={47},
  pages={495204}
}
  • A. Moroz
  • Published 15 March 2014
  • Mathematics
  • Journal of Physics A
A class of purely bosonic models is characterized having the following properties in a Hilbert space of analytic functions: (i) wave function is the generating function for orthogonal polynomials of a discrete energy variable , (ii) any Hamiltonian has nondegenerate purely point spectrum that corresponds to infinite discrete support of measure in the orthogonality relation of the polynomials , (iii) the support is determined exclusively by the points of discontinuity of , (iv) the spectrum of… 
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