In this paper the inverse problem of obtaining Lagrangians and Hamiltonians from a given a family of curves (which satisfy their classical equations of motion) with its initial conditions is considered. The application of this method to the damped harmonic oscillator is also considered and two known Hamiltonians are rederived.
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Penn State Univ, University Pk, PA 16802 USA
Higher Sch Econ, Inst Educ, Moscow 101000, RussiaPenn State Univ, University Pk, PA 16802 USA
Smith, William C.
Anderson, Emily
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Penn State Univ, University Pk, PA 16802 USAPenn State Univ, University Pk, PA 16802 USA
Anderson, Emily
Salinas, Daniel
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Penn State Univ, University Pk, PA 16802 USA
Org Econ Cooperat & Dev, F-75116 Paris, FrancePenn State Univ, University Pk, PA 16802 USA
Salinas, Daniel
Horvatek, Renata
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Penn State Univ, University Pk, PA 16802 USAPenn State Univ, University Pk, PA 16802 USA
Horvatek, Renata
Baker, David P.
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Penn State Univ, University Pk, PA 16802 USA
Penn State Univ, Populat Res Inst, University Pk, PA 16802 USAPenn State Univ, University Pk, PA 16802 USA