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The Lagrangian for a particle of mass m at a position i moving with a velocity v is given m -2 by L="v + Cr.v -V(r), where V(r)is a potential and C is a constant. If p, is the canonical momentum, then its Hamiltonian is given by

The Lagrangian for a particle of mass m at a position i moving with a velocity v is given m -2 by L="v + Cr.v -V(r), where V(r)is a potential and C is a constant. If p, is the canonical momentum, then its Hamiltonian is given by

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The Lagrangian for a particle of mass m at a position i moving with a velocity v is given m +2 by L=- ²+Cr.v –V(r), where V(r)is a potential and C is a constant. If p, is the 2 canonical momentum, then its Hamiltonian is given by
Transcribed Image Text:The Lagrangian for a particle of mass m at a position i moving with a velocity v is given m +2 by L=- ²+Cr.v –V(r), where V(r)is a potential and C is a constant. If p, is the 2 canonical momentum, then its Hamiltonian is given by
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