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Stationary anharmonic oscillators in the particle-in-a-box basis: Near-exact results

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Abstract

Variational studies employing the basis functions of the quantal particle-in-a-box model are shown to lead to accurate estimates of eigenvalues, various expectation values and eigenfunctions of the stationary anharmonic oscillator problem. Calculations involve bothzx 2α and (x 2+ zx 2α)-type oscillators, withα=2, 3 and 4, both in weak and strong coupling regime. Apart from its recommendable computational simplicity, convergence of the present recipe has also been demonstrated to be quite fast. Results for the first ten states are reported. A few goodness tests for the approximate wavefunctions and consistency requirements for some properties are also performed.

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Authors and Affiliations

  1. Department of Chemistry, Burdwan University, 713 104, Burdwan, India

    A K Chandra & K Bhattacharyya

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  1. A K Chandra
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  2. K Bhattacharyya
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Chandra, A.K., Bhattacharyya, K. Stationary anharmonic oscillators in the particle-in-a-box basis: Near-exact results. Pramana - J Phys 43, 117–128 (1994). https://doi.org/10.1007/BF02875140

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  • DOI: https://doi.org/10.1007/BF02875140

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