Extended trigonometric Cherednik algebras and nonstationary Schrodinger equations with delta-potentials

@inproceedings{Hartwig2011ExtendedTC,
  title={Extended trigonometric Cherednik algebras and nonstationary Schrodinger equations with delta-potentials},
  author={Jonas Torbj{\"o}rn Hartwig and Jasper V. Stokman},
  year={2011}
}
  • Jonas Torbjörn Hartwig, Jasper V. Stokman
  • Published 2011
  • Computer Science, Mathematics, Physics
  • We realize an extended version of the trigonometric Cherednik algebra as affine Dunkl operators involving Heaviside functions. We use the quadratic Casimir element of the extended trigonometric Cherednik algebra to define an explicit nonstationary Schrodinger equation with delta-potential. We use coordinate Bethe ansatz methods to construct solutions of the nonstationary Schrodinger equation in terms of generalized Bethe wave functions. It is shown that the generalized Bethe wave functions… CONTINUE READING

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