Integration of the Classical Action for the Quartic Oscillator in 1 + 1 Dimensions


In this paper, we derive an explicit form in terms of end-point data in space-time for the classical action, i.e. integration of the Lagrangian along an extremal, for the nonlinear quartic oscillator evaluated on extremals.


Action; Integral

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R. Anderson, "Integration of the Classical Action for the Quartic Oscillator in 1 + 1 Dimensions," Applied Mathematics, Vol. 4 No. 10C, 2013, pp. 117-122. doi: 10.4236/am.2013.410A3014.

Conflicts of Interest

The authors declare no conflicts of interest.


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[4] R. L. Anderson, “Actions for a Hierarchy of Attractive Nonlinear Oscillators Including the Quartic Oscillator in 1 + 1 Dimensions,”

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