Summary
Exact expressions have been obtained for the frequency of an anharmonic oscillator, the shift in its equilibrium position from the origin and for the amplitudes of its different harmonics. It is shown that the frequency of the oscillator is a decreasing function of the energy and that some of the results of wave-mechanics can be obtained from the classical theory by substituting in the classical energy of the oscillator the different energy values of a harmonic oscillator. The eigenvalues of the oscillator are determined by using the W.K.B. method. The classical theory of a Morse oscillator has similarly been worked out in Appendix II.
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Viswanathan, K.S. The theory of the anharmonic oscillator. Proc. Indian Acad. Sci. 46, 203–217 (1957). https://doi.org/10.1007/BF03045969
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DOI: https://doi.org/10.1007/BF03045969