Some spectral equivalences between Schrödinger operators

@inproceedings{DunningSomeSE,
  title={Some spectral equivalences between Schr{\"o}dinger operators},
  author={Clare Dunning and Katrina E. Hibberd and Jon Links}
}
Spectral equivalences of the quasi-exactly solvable sectors of two classes of Schrödinger operators are established, using Gaudin-type Bethe ansatz equations. In some instances the results can be extended leading to full isospectrality. In this manner we obtain equivalences between P T-symmetric problems and Hermitian problems. We also find equivalences between some classes of Hermitian operators. 

From This Paper

Figures, tables, and topics from this paper.
1 Citations
17 References
Similar Papers

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 17 references

Phys. Rev. D

  • H F Jones
  • Phys. Rev. D
  • 2008

Phys. Rev. Lett

  • M Bender, P D Mannheim
  • Phys. Rev. Lett
  • 2008

Rep. Prog. Phys

  • C M Bender
  • Rep. Prog. Phys
  • 2007
1 Excerpt

J. Math. Phys. (N.Y.)

  • M S Swanson
  • J. Math. Phys. (N.Y.)
  • 2004
1 Excerpt

J. Phys. A: Math. Gen

  • J Links, H-Q Zhou, R H Mckenzie, M D Gould
  • J. Phys. A: Math. Gen
  • 2003

J. Stat. Phys

  • V V Bazhanov, S L Lukyanov, A B Zamolodchikov
  • J. Stat. Phys
  • 2001
1 Excerpt

Phys. Lett. B

  • H Aoyama, M Sato, T Tanaka
  • Phys. Lett. B
  • 2001

J. Math. Phys

  • C M Bender, G V Dunne
  • J. Math. Phys
  • 1996

Comm. Math. Phys

  • A Gonzaléz-López, N Kamran, P J Olver
  • Comm. Math. Phys
  • 1993

Similar Papers

Loading similar papers…