- #1

Leicester Fantasy

- 2

- 0

Poster has been reminded to use the HH Template and show their work

A system consisting of two spins is described by the Hamiltonian (

where

(a) Is the total spin

(b) Find the eigenvalues of

*b*>0)*H*=*a***σ**+_{1}⋅ σ_{2}*b*(σ_{1z}- σ_{2z})where

*a*and*b*are constants.(a) Is the total spin

**= ½ (***S***σ**) conserved? Which components of_{1}+ σ_{2}**, if any, are conserved?***S*(b) Find the eigenvalues of

*H*and the corresponding eigenstates in terms of the eigenstates of the total spin**.***S*