In the problem of the three coupled pendula, consider the three coupling constants as distinct, so that the potential energy may be written as with epsilon 12, epsilon 13, epsilon 23 all different Show that no degeneracy occurs in such a system Show also that degeneracy can occur only if epsilon 12...

In the problem of the three coupled pendula, consider the three coupling constants as distinct, so that

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In the problem of the three coupled pendula, consider the three coupling constants as distinct, so that the potential energy may be written as with ε12, ε13, ε23 all different.

Show that no degeneracy occurs in such a system. Show also that degeneracy can occur only if ε12 = ε13 = ε23.

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With the given expression for U we see that A has the form ...View the full answer

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Related Book For book-img-for-question

Fundamentals of Thermodynamics

ISBN: 978-0471152323

6th edition

Authors: Richard E. Sonntag, Claus Borgnakke, Gordon J. Van Wylen

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Question Posted: Aug 07, 2010 02:40 AM

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In the problem of the three coupled pendula, consider the three coupling constants as distinct, so that

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U = (0} + 03 + 03 – 28120,62 - 2€10,0, - 2e 230 20 3)

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With the given expression for U we see that A has the form ...View the full answer

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