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Exact solutions for a classical doubly anharmonic oscillator

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Abstract

We obtain exact solutions for the motion of a classical anharmonic oscillator in the potential Bx 2−|A|x 4+Cx 6, and discuss the energy dependence of the frequencies of oscillation.

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References

  1. Onedora, Y., Prog. Theor. Phys. 44, 1477 (1970).

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  2. Khare, Avinash, and Behera, S.N., Preprint IP-BBSR/79-33 (1979).

  3. Abromowitz, M., and Stegun, I.A., Handbook of Mathematical Functions, Dover, New York, 1965.

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  4. Khare, Avinash, Lett. Math. Phys. 3, 475 (1979).

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Behera, S.N., Khare, A. Exact solutions for a classical doubly anharmonic oscillator. Lett Math Phys 4, 153–156 (1980). https://doi.org/10.1007/BF00316668

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  • DOI: https://doi.org/10.1007/BF00316668

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