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Modified Hill determinant approach to the eigenvalues of the anharmonic oscillator

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Abstract

The unperturbed Hamiltonian of quantum anharmonic oscillator is modified by introducing a simple variational scale parameter. A suitable choice of this parameter makes the eigenvalues rapidly convergent for small size of the determinant in the method of infinite Hill determinant. Simple analytic expressions for the eigenvalues are obtained by matrix diagonalization method.

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Chaudhuri, R.N., Mondal, M. Modified Hill determinant approach to the eigenvalues of the anharmonic oscillator. Pramana - J. Phys 37, 13–20 (1991). https://doi.org/10.1007/BF02847573

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  • DOI: https://doi.org/10.1007/BF02847573

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