Classical Mechanics by G. Aruldhas
Author:G. Aruldhas [Aruldhas, G.]
Language: eng
Format: epub, pdf
Tags: Science, Mechanics, General
ISBN: 9788120333314
Google: u2JKuF1nM0wC
Amazon: 8120333314
Publisher: PHI Learning Pvt. Ltd.
Published: 2008-02-13T16:00:00+00:00
Thus, Q1 is the only co-ordinate which is not a constant of motion.
The physical significance of Hamilton’s characteristic function can easily be obtained. We have
The integral in Eq. (7.22) can be considered an abbreviated action integral.
7.3 HARMONIC OSCILLATOR IN THE H-J METHOD
What we discussed in the H-J theory can be applied for solving the motion of a one-dimensional harmonic oscillator. The Hamiltonian of the system is
Since the left side of this equation is Hamiltonian, the constant a is simply the total energy E of the system. Equation (7.27) can be written as
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