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g 2 Algebra and two-dimensional quasiexactly solvable Hamiltonian related to Poschl–Teller potential

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Abstract

In this article, we write the general form of the quasiexactly solvable Hamiltonian of g 2 algebra via one special representation in the x–y two-dimensional space. Then, by choosing an appropriate set of coefficients and making a gauge rotation, we show that this Hamiltonian leads to the solvable Poschl–Teller model on an open infinite strip. Finally, we assign g 2 hidden algebra to the Poschl–Teller potential and obtain its spectrum by using the representation space of g 2 algebra.

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Authors and Affiliations

  1. Department of Physics, University of Guilan, Rasht, 51335-1914, Iran

    H PANAHI & H RAHMATI

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  1. H PANAHI
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  2. H RAHMATI
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Correspondence to H PANAHI.

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PANAHI, H., RAHMATI, H. g 2 Algebra and two-dimensional quasiexactly solvable Hamiltonian related to Poschl–Teller potential. Pramana - J Phys 83, 3–8 (2014). https://doi.org/10.1007/s12043-014-0769-7

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  • DOI: https://doi.org/10.1007/s12043-014-0769-7

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