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A class of exact solutions for doubly anharmonic oscillators

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Abstract

The solution of a difference equation in the form of an infinite continued fraction is used to obtain a class of exact solutions for the eigenfunctions and eigenvalues of doubly anharmonic oscillators described by potentials of the type (1/2)ω2x2+(1/4)λx4+(1/6)ηx6, n>0, provided certain constraints on the couplings are satisfied. The class is denumerably infinite but not complete.

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References

  1. Flessas, G.P., Physics Lett. 72A, (1979) 289.

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  2. Singh, V., Biswas, S.N. and Datta, K., Phys. Rev. D18, (1978) 1901.

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Authors and Affiliations

  1. Tata Institute of Fundamental Research, 400005, Bombay, India

    Virendra Singh

  2. Department of Physics and Astrophysics, University of Delhi, 110007, Delhi, India

    Anita Rampal, S. N. Biswas & K. Datta

Authors
  1. Virendra Singh
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  2. Anita Rampal
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  3. S. N. Biswas
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  4. K. Datta
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Singh, V., Rampal, A., Biswas, S.N. et al. A class of exact solutions for doubly anharmonic oscillators. Lett Math Phys 4, 131–134 (1980). https://doi.org/10.1007/BF00417505

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  • DOI: https://doi.org/10.1007/BF00417505

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