arXiv subjects

Eser Korcuk

Publications and source records attributed to Eser Korcuk.

3 recordsLinked to original sources

arXiv2004

Quasi-exact-solution of the Generalized Exe Jahn-Teller Hamiltonian

We consider the solution of a generalized Exe 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.

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arXiv2004

A new class of quasi-exactly solvable potentials with position dependent mass

A new class of quasi exactly solvable potentials with a variable mass in the Schroedinger equation is presented. We have derived a general expression for the potentials also including Natanzon confluent potentials. The general solution of the Schroedinger equation is determined and the eigenstates are expressed in terms of the orthogonal polynomials.

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arXiv2004

Symmetries of the Jahn Teller System and their Solvability

We present a method of obtaining the quasi exact solution of the Jahn Teller systems in the framework of osp(2,2) superalgebra. The hamiltonian have been solved in the Bargmann-Fock space by obtaining an expression as linear and bilinear combinations of the generators of osp(2,2). In particulare, we have discussed quasi exact solvability of Exe Jahn-Teller Hamiltonian.

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