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Inner product perturbation theory: Energy levels of double‐well potentials for two‐dimensional quantum systems by expanding the potential functions around their minima

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Abstract

Energy eigenvalues of double‐well potentials for two‐dimensional systems are calculated by the approach of expanding the potential functions such as \(V(x,y;Z^2 ,\lambda ) = - Z^2 [x^2 + y^2 ] + \lambda [x^4 + 2x^2 y^2 + y^4 ]\) around their minima, using the inner product technique, for various values of perturbation parameters Z2 and λ. Some of the results calculated by the inner product technique are compared with the results produced by other means.

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  1. Department of Applied Mathematics, University of Hull, Hull, HU6 7RX, UK

    M.R.M. Witwit

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  1. M.R.M. Witwit
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Witwit, M. Inner product perturbation theory: Energy levels of double‐well potentials for two‐dimensional quantum systems by expanding the potential functions around their minima. Journal of Mathematical Chemistry 22, 11–23 (1997). https://doi.org/10.1023/A:1019115712540

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