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Application of the inner product technique to double-well potentials in three-dimensional quantum systems by expanding the potential functions around their minima

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Abstract

Energy eigenvalues of double-well potentials for three-dimensional systems are calculated by means of an expansion of the potential function V(x,y,z;Z2,λ,aIJ)=-Z2[x2+y2+z2] +λ{x4+y4+z4+2aIJ[x2y2+x2z2+y2z2]} around its minimum, using the inner product technique, for various values of perturbation parameters Z2,λ and aIJ. Some of the results calculated by this technique are compared with results obtained by other methods.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Hull, Hull, HU6 7RX, UK E-mail:

    M.R.M. Witwit

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  1. M.R.M. Witwit
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Witwit, M. Application of the inner product technique to double-well potentials in three-dimensional quantum systems by expanding the potential functions around their minima. Journal of Mathematical Chemistry 24, 249–259 (1998). https://doi.org/10.1023/A:1019182922052

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  • DOI: https://doi.org/10.1023/A:1019182922052

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