Inner product of two spin operators
Not what you're looking for?
Suppose that particle 1 (with spin 1) and particle 2 (with spin 1/2) interact via the Hamiltonian operator
H = lambda S1 dot S2 , where lambda is a constant.
Calculate the energy of the state |s,ms> .
Purchase this Solution
Solution Summary
The expert explains how to diagonalize the inner product of two spin operators
Solution Preview
You can solve this problem by considering the square of the total spin operator S = S1 + S2. We have:
S^2 = (S1 + S2)^2 = S1^2 + S2^2 + S1 dot S2 + S2 dot S1 = S1^2 + S2^2 + 2 S1 dot S2
In the last line we have used that S1 and S2 commute. This follows from the fact that S1 and S2 act on the spins ...
Purchase this Solution
Free BrainMass Quizzes
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.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.
The Moon
Test your knowledge of moon phases and movement.
Classical Mechanics
This quiz is designed to test and improve your knowledge on Classical Mechanics.
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.