AM  Vol.4 No.10 C , October 2013
Integration of the Classical Action for the Quartic Oscillator in 1 + 1 Dimensions
ABSTRACT

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.


Cite this paper
R. Anderson, "Integration of the Classical Action for the Quartic Oscillator in 1 + 1 Dimensions," Applied Mathematics, Vol. 4 No. 10, 2013, pp. 117-122. doi: 10.4236/am.2013.410A3014.
References
[1]   H. Goldstein, “Classical Mechanics,” Addison-Wesley Publishing Company, Reading, 1980.

[2]   R. L. Anderson, “An Invertible Linearization Map for the Quartic Oscillator,” Journal of Mathematical Physics, Vol. 51, No. 12, 2010, Article ID: 122904.

[3]   R. C. Santos, J. Santos and J. A. S. Lima, “HamiltonJacobi Approach for Power-Law Potentials,” Brazilian Journal of Physics, Vol. 36, No. 4A, 2006, pp. 12571261.

[4]   R. L. Anderson, “Actions for a Hierarchy of Attractive Nonlinear Oscillators Including the Quartic Oscillator in 1 + 1 Dimensions,” arXiv.org:1204.0768.

 
 
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