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 epsilon 13 epsilon 23 U (0 03 03 28120,62 210,0, 2e 230 20 3)

Question: 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

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.

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

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

U = (0} + 03 + 03 28120,62 - 210,0, - 2e 230 20 3)

Step by Step Solution

★★★★★

3.34 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

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

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

P-C-D-C-O (19).docx

120 KBs Word File

Students Have Also Explored These Related Classical Dynamics Of Particles Questions!

Consider three identical pendula instead of the two shown in Figure 12.5 with a spring of constant 0.20 N/m between the center pendulum and each of the side ones. The mass bobs are 250g, and the...

Consider a system with energy levels Ej =jE and N molecules. (a) Show that if the mean energy per molecule is ae, then the temperature is given by Evaluate the temperature for a system in which the...

Show that Eq. (43.17) may be written as N (t) = N0 () n, where n = t/T p is the number of half-lives that have elapsed since t = o. (This expression is valid even if n is not a whole number.)

give a brief summary of the article, and then your application of the article to a business setting. It should be 2 pages on each article, do not use outside sources, use APA reference when you refer...

This section will require you to CHOOSE ONE question to answer from a selection of 4 questions which require an extended response from you. ? You may be asked to choose from questions regarding any...

Read article and apply Porters five-factor model to one of the following markets, and answer the following questions: snack food market consumer banking market golf equipment market laptop market hot...

Assignment: Leadership Styles You should choose a leader to interview. The leader can be a friend, coworker, supervisor, family member who holds a type of leadership position. In your interview you...

PRINTED BY: smj@staceymjohnson.com. Printing is for personal, private use only. No part of this book may be reproduced or transmitted without publisher's prior permission. Violators will be...

Look at the mass spectrum of germanium, Ge. a. Write the isotopic formula for the heaviest isotope of germanium. b. Use the % abundance of each isotope to calculate the relative atomic mass of...

Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years (based on data from "Getting Things Fixed," Consumer Reports). Find the...

Hart Nance and Jason Symington operate gift boutiques in shopping malls. The partners split profits and losses equally, and each takes an annual withdrawal of $80,000. To even out the workload, Nance...

Which of the following is true of alternative splicing? introns and exons can be rearranged in numerous ways to make different variations of a protein exons can be spliced together in a variety of...

A random sample of DVC students were asked "How many books did you purchase this semester for your classes?" The results are displayed in this dot plot. What does one dot represent on this dot plot?...

An instructor at the Kelley School indicated that you may be able to help me. My name is Mel Smith and I live in Indianapolis. I have twin daughters who are starting college next fall at Northwestern...

a. Suppose you want to remove ten fish of an exotic species that have illegally been introduced to a lake. You have three possible removal methods. Assume that q1, q2 and q3 are, respectively, the...

Take example of Tim Horton's new menu addition-Granola Muffin. How if differentiates with law of demand and law of supply. What can a supplier can do to increase his demand and why consumer wants to...

On 1/1/2014, Lion Group purchased 60% (60,000 shares) of Iguana Ltd. for $50 per share, which was a $5 per share control premium. Buildings and Equipment were undervalued by $1,000,000 and had a 10...

Identify the place value of each underlined digit 38. 0 19528

An ARM for $101,600 is made at a time when the expected start rate is 5 percent. The loan will be made with a teaser rate of 2 percent for the first year, after which the rate will be reset. The loan...

1. (TCO 8) If the financial markets are strong form efficient, then: (Points : 4) only the most talented analysts can determine the true value of a security. only company insiders have a marketplace...

Help needed Problem 11-13 Weight of Preferred Stock (LG11-4) FarCry Industries, a maker of telecommunications equipment, has 2 million shares of common stock outstanding. 1 million shares of...