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Supersymmetry and the ladder operator technique in quantum mechanics: The radial Schrödinger equation

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Abstract

Using the ladder operator technique, a construction of the supersymmetric Hamiltonian is proposed. We show that the accidental degeneracies associated with the Coulomb and isotropic oscillator problems may be attributed to the existence of a supersymmetry of the Hamiltonians.

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Authors and Affiliations

  1. Department of Theoretical Physics, Indian Association for the Cultivation of Science, 700032, Calcutta, India

    Anuradha Lahiri

  2. Department of Physics, Barasat Government College, Barasat, 743201, West Bengal, India

    Prodyot Kumar Roy

  3. Department of Applied Mathematics, Vidyasagar University, Midnapore, 721101, West Bengal, India

    Bijan Bagchi

Authors
  1. Anuradha Lahiri
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  2. Prodyot Kumar Roy
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  3. Bijan Bagchi
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Lahiri, A., Roy, P.K. & Bagchi, B. Supersymmetry and the ladder operator technique in quantum mechanics: The radial Schrödinger equation. Int J Theor Phys 28, 183–189 (1989). https://doi.org/10.1007/BF00669809

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  • DOI: https://doi.org/10.1007/BF00669809

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