Hypervirial calculation of energy eigenvalues of a bounded centrally located harmonic oscillator

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Abstract
The diagonal hypervirial equations for enclosed quantum systems which obey boundary conditions φ(a) = φ(b) = 0 are applied to calculate energy eigenvalues of a bounded centrally located harmonic oscillator. Hypervirial equations were previously derived by us [F. M. Fernández and E. A. Castro, Int. J. Quantum Chem. (in press)], and recurrence rules are easier to deal with than previous formulas based on the roots of the hypergeometric series. The comparison of numerical results with those given by Vawter [R. Vawter, J. Math. Phys. 14, 1864 (1973)] shows the greater accuracy of the hypervirial method.

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