Purchase Solution

Addition of spin angular momenta

Not what you're looking for?

Ask Custom Question

Addition of spin angular momenta

Consider the addition of two spin -1/2 angular momenta, S(1) and S(2)

1. How many states are there in the product basis?
2. If J = S(1) + S(2), what are the possible eigenvalues of the dot product of J and J?
3. By using the recursive algorithm construct all the Clebsch-Gordan coefficients for this problem.

See attached file for full problem description.

Attachments
Purchase this Solution
Solution Summary

This solution provides step by step calculations for states, eigenvalues, and Clebsch-Gordan coefficients.

Purchase this Solution
Free BrainMass Quizzes
Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

The Moon

Test your knowledge of moon phases and movement.

View More Free Quizzes
Related BrainMass Solutions

  • Addition of angular momenta

    596504 Addition of angular momenta Please help with the following problems. Suppose you know that an electron is in l = 1 state. As usual we refer the total angular momentum by J = L + S.

  • Addition of angular momentum

    576548 Addition of angular momentum Consider a deuterium atom (composed of a nucleus of spin I = 1 and an electron). The electronic angular momentum is J = L + S, where L is the orbital angular momentum of the electron and S is its spin.

  • Applied vector and pulley problems

    Show that in the special case that the center of mass of the two bodies is at rest at the origin (that is P = p1 + p2 = 0, and the position of the center of mass is R = 0), the sum of the angular momenta of the two objects about the center of mass equals

  • Spin Angular Monentum

    153465 Spin Angular Monentum (A)A particle with spin 1 has orbital angular momentum L_lowercase=0. What are the possible values for the total angular momentum Quantum number j? (B)The same particle has L_lowercase=3.

  • Centripetal Acceleration Rotor

    (c) If the centrifuge is modeled as a cylinder of radius 0.10 m and mass 2.0 kg, what torque is applied to make it spin?

  • Energy Levels, Eigenstates, Spin State of Particle System

    spin down as a function of time.

  • Spinning satellites

    The angular momentum of the wheel is 100 N-m-s. a) What is the spin rate of the spacecraft if its moment of inertia, Is = 500 kg-m2? b) What is the moment of inertia of the wheel?

  • The Energy of Spin-Orbit Coupling

    B is proportional to the dot product of the spin and the angular momentum operators

  • curl to a ball and start spinning after dropping down

    The angular momenta of the upper and lower body cancel, there is no net angular momentum at any time. Then stick out legs, tuck in arms, and rotate the upper body. Upper body easily rotates and lower body with its legs out is hard to rotate.

View More Related Solutions