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The solution of the Schrödinger equation for coupled quadratic and quartic potentials in two dimensions

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Abstract

We deal with the difficulties claimed by the author of [Ann. Phys. 206, 90 (1991)] while solving the Schrödinger equation for the ground states of two-dimensional anharmonic potentials. It is shown that the ground state energy eigenvalues and eigenfunctions for the coupled quadratic and quartic potentials can be obtained by making some simple assumptions. Expressions for the energy eigenvalues and the eigenfunctions for the first and second excited states of these systems are also obtained.

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Authors and Affiliations

  1. Department of Physics, Ch. Devi Lal University, Sirsa, 125 055, India

    Ram Mehar Singh

  2. Department of Physics, Kurukshetra University, Kurukshetra, 136 119, India

    Fakir Chand & S. C. Mishra

Authors
  1. Ram Mehar Singh
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  2. Fakir Chand
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  3. S. C. Mishra
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Correspondence to Fakir Chand.

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Singh, R.M., Chand, F. & Mishra, S.C. The solution of the Schrödinger equation for coupled quadratic and quartic potentials in two dimensions. Pramana - J Phys 72, 647–654 (2009). https://doi.org/10.1007/s12043-009-0058-z

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  • DOI: https://doi.org/10.1007/s12043-009-0058-z

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