Griffiths' Problems: Angular Momentum & Clebsch-Gordon Coefficients, Assignments of Physics

Problem set #4 for physics 556/714 students, focusing on griffiths problems related to angular momentum and clebsch-gordon coefficients. Students are required to explain their reasoning for specific problems, calculate clebsch-gordon coefficients, and demonstrate the conversion between different angular momentum states. The document also includes additional problems for 714 students.

Typology: Assignments

Pre 2010

Uploaded on 08/19/2009

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Physics 556/714 Problem Set #4
due beginning of class Thursday Oct 9
Note that there is an online copy of Clebsch-Gordon coefficients at
http://physics.hallym.ac.kr/education/hep/rpp/page1287.gif
1. Griffiths problem 4.11: "In the decay D++ ®p+p
+, ..."
Explain your reasoning carefully.
2. Griffiths problem 4.13: "Suppose you had two particles of spin 2, ..."
3. Griffiths problem 4.18: "Suppose an electron is in the state …"
In this problem the original state is given to you in the z basis (i.e. with Sz
components specified).
4. Griffiths problem 4.19: "Show that
s
x
2=
s
y
2=
s
z
2=1"
5. Griffiths problem 4.20: "Use the results of problem 4.19 to show that"
6. Griffiths problem 4.38: "For two particles to intercovert, ..."
714 students please also do the following:
7. Griffiths problem 4.23: "The extension of everything in 4.4 to higher spin..."
Don’t bother with part d) for the spin 3/2 case.

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Physics 556/714 Problem Set

due beginning of class Thursday Oct 9

Note that there is an online copy of Clebsch-Gordon coefficients at http://physics.hallym.ac.kr/education/hep/rpp/page1287.gif

  1. Griffiths problem 4.11: "In the decay (^) ^  p   ^ , ..." Explain your reasoning carefully.
  2. Griffiths problem 4.13: "Suppose you had two particles of spin 2, ..."
  3. Griffiths problem 4.18: "Suppose an electron is in the state …"In this problem the original state is given to you in the z basis (i.e. with S components specified). z

4. Griffiths problem 4.19: "Show that  x^2   y^2   z^2  1 "

  1. Griffiths problem 4.20: "Use the results of problem 4.19 to show that"
  2. Griffiths problem 4.38: "For two particles to intercovert, ..."

714 students please also do the following:

  1. Griffiths problem 4.23: "The extension of everything in 4.4 to higher spin..." Don’t bother with part d) for the spin 3/2 case.