It has been previously noted that the total time derivative of a function of qi and t can be added to the Lagrangian without changing the equation of motion. What does such an addition do to the canonical momenta and the Hamiltonian? Show that the equations of motion in terms of the new Hamiltonian reduce the original Hamilton’s equations of motion.

It has been previously noted that the total time derivative of a function of qi and t can be added to the Lagrangian without changing the equation of motion. What does such an addition do to the canonical momenta and the Hamiltonian? Show that the equations of motion in terms of the new Hamiltonian reduce the original Hamilton’s equations of motion.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter10: Introduction To Quantum Mechanics

Section: Chapter Questions

Problem 10.9E

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