THE QUARTIC OSCILLATOR AS A BASIS FOR ENERGY LEVEL CALCULATIONS OF SOME ANHARMONIC OSCILLATORS
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Date
1962
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Ohio State University
Abstract
The first twenty energy levels and wave functions for an oscillator with potential energy $V = ax^{4}$ have been obtained by diagonalizing a $100 \times 100$ Hamiltonian matrix in the representation of the harmonic oscillator. These wave functions have been used to calculate the matrix elements of $x, x^{2}, x^{3}, x^{4}$, and $x^{5}$ in the representation of the quartic oscillator. Application of these results to the calculations of energy levels and matrix elements for mixed harmonic-quartic oscillators and double-minimum potential wells will be discussed.
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This paper may be called for at the end of Session G if time permits.
Author Institution: Department of Chemistry, University of California; Department of Chemistry, University of California
Author Institution: Department of Chemistry, University of California; Department of Chemistry, University of California