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Exact S-wave solution of the Schrödinger equation for three new potentials using the transformation method

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Abstract

We apply the extended transformation method to a non-power-law potential to generate a set of exactly solvable quantum systems in spaces of any dimensions. We derive exact analytic solutions of the Schrödinger equations with an exactly solvable non-power-law potential. For the transformed potentials obtained as a result, we calculate the quantized bound-state energy spectra and the corresponding wave functions.

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Authors and Affiliations

  1. Department of Physics, Gauhati University, Guwahati, India

    N. Saikia & S. A. S. Ahmed

Authors
  1. N. Saikia
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  2. S. A. S. Ahmed
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Corresponding author

Correspondence to N. Saikia.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 168, No. 2, pp. 291–298, August, 2011.

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Saikia, N., Ahmed, S.A.S. Exact S-wave solution of the Schrödinger equation for three new potentials using the transformation method. Theor Math Phys 168, 1105–1111 (2011). https://doi.org/10.1007/s11232-011-0091-1

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  • DOI: https://doi.org/10.1007/s11232-011-0091-1

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