English

Trigonometric identities, angular Schr\"{o}dinger equations and a new family of solvable models

Quantum Physics 2011-07-19 v2

Abstract

Angular parts of certain solvable models are studied. We find that an extension of this class may be based on suitable trigonometric identities. The new exactly solvable Hamiltonians are shown to describe interesting two- and three-particle systems of the generalized Calogero, Wolfes and Winternitz-Smorodinsky types.

Keywords

Cite

@article{arxiv.quant-ph/0410023,
  title  = {Trigonometric identities, angular Schr\"{o}dinger equations and a new family of solvable models},
  author = {Vit Jakubsky and Miloslav Znojil and Euclides Augusto Luis and Frieder Kleefeld},
  journal= {arXiv preprint arXiv:quant-ph/0410023},
  year   = {2011}
}

Comments

to appear in Phys. Lett. A