Determine the motion of a particle in a central potential field, given the Hamiltonian function H(p, q)
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Question:
Determine the motion of a particle in a central potential field, given the Hamiltonian function H(p, q) = (p^2)/2m + V(q), where m is the mass of the particle and V(q) is the potential energy function. Prove that the motion is periodic if and only if the energy E is conserved, and show that the period of the motion depends only on the value of the total energy E.
Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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