### Abstract

We consider the solution of a generalized E ⊗ ε Jahn-Teller Hamiltonian in the context of quasi-exactly solvable spectral problems. This Hamiltonian is expressed in terms of the generators of the osp(2, 2) Lie algebra. Analytical expressions are obtained for eigenstates and eigenvalues. The solutions lead to a number of earlier results discussed in the literature. However, our approach renders a new understanding of "exact isolated" solutions.

Original language | English |
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Pages (from-to) | 399-405 |

Number of pages | 7 |

Journal | Progress of Theoretical Physics |

Volume | 110 |

Issue number | 3 |

Publication status | Published - Sep 2003 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Progress of Theoretical Physics*,

*110*(3), 399-405.

**Quasi-Exact-Solution of the Generalized E ⊗ ε Jahn-Teller Hamiltonian.** / Koç, Ramazan; Tütüncüler, Hayriye; Koca, Mehmet; Körcük, Eser.

Research output: Contribution to journal › Article

*Progress of Theoretical Physics*, vol. 110, no. 3, pp. 399-405.

}

TY - JOUR

T1 - Quasi-Exact-Solution of the Generalized E ⊗ ε Jahn-Teller Hamiltonian

AU - Koç, Ramazan

AU - Tütüncüler, Hayriye

AU - Koca, Mehmet

AU - Körcük, Eser

PY - 2003/9

Y1 - 2003/9

N2 - We consider the solution of a generalized E ⊗ ε Jahn-Teller Hamiltonian in the context of quasi-exactly solvable spectral problems. This Hamiltonian is expressed in terms of the generators of the osp(2, 2) Lie algebra. Analytical expressions are obtained for eigenstates and eigenvalues. The solutions lead to a number of earlier results discussed in the literature. However, our approach renders a new understanding of "exact isolated" solutions.

AB - We consider the solution of a generalized E ⊗ ε Jahn-Teller Hamiltonian in the context of quasi-exactly solvable spectral problems. This Hamiltonian is expressed in terms of the generators of the osp(2, 2) Lie algebra. Analytical expressions are obtained for eigenstates and eigenvalues. The solutions lead to a number of earlier results discussed in the literature. However, our approach renders a new understanding of "exact isolated" solutions.

UR - http://www.scopus.com/inward/record.url?scp=0345414037&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0345414037&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0345414037

VL - 110

SP - 399

EP - 405

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 3

ER -