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Position-dependent effective mass Schrödinger equations for PT-symmetric potentials

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We use the method of point canonical transformations and choose the Rosen-Morse-type potential as the reference potential to study exact solutions of the position-dependent effective mass Schrödinger equations. Choosing three position-dependent mass distributions, we construct seven exactly solvable target potentials with PT symmetry. The energy spectra of the bound states and corresponding wavefunctions for the PT-symmetric potentials are given in the exact closed forms. We also discuss the isospectrality of different Schrödinger equations with the same mass distribution or different mass distributions for different PT-symmetric potentials.

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Authors and Affiliations

  1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, 610500, People’s Republic of China

    Chun-Sheng Jia

  2. School of Mathematics and Computer Science, Xihua University, Chengdu, 610039, People’s Republic of China

    Liang-Zhong Yi

  3. School of Computer Science, Southwest Petroleum University, Chengdu, 610500, People’s Republic of China

    Yu Sun

Authors
  1. Chun-Sheng Jia
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  2. Liang-Zhong Yi
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  3. Yu Sun
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Correspondence to Chun-Sheng Jia.

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Jia, CS., Yi, LZ. & Sun, Y. Position-dependent effective mass Schrödinger equations for PT-symmetric potentials. J Math Chem 43, 435–446 (2008). https://doi.org/10.1007/s10910-006-9206-6

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  • DOI: https://doi.org/10.1007/s10910-006-9206-6

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