For a particle the kinetic energy and the potential energy is given by T=tfrac12mdot r^2, U=tfrac1r(1+dot r^2/c^2), where c is a constant. Then the Hamiltonian H of the particle is:

(D) H=dfrac12pr^2rc^2/mrc^2-2+dfrac1r

Q95Section II (Mathematics)95 of 180

Hamiltonian for a velocity-dependent (non-natural) potential

For a particle the kinetic energy and the potential energy is given by $T=\tfrac12m\dot r^2, U=\tfrac1r\left(1+\dfrac{\dot r^2}{c^2}\right)$ , where $c$ is a constant. Then the Hamiltonian H of the particle is:

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