Recent content by mistergrimes

  1. M

    Quantum Mechanics, Angular momentum, Spin

    OK so if j1=2 and j2=2, the formula you give would give the possible values of j as 0, 1, 2, 3 and 4, but in the case j1 = 1, j2= 1/2 this list of values is much shorter, giving just 1/2 and 3/2. Thank-you very much for your help.
  2. M

    Quantum Mechanics, Angular momentum, Spin

    OK so if l = 1, s = 1/2, j=l+s = 3/2. The eigenvalue of S^2 is therefore s(s+1)ħ^2 = (3/4)ħ^2 and the eigenvalue of J^2 is therefore j(j+1)ħ^2 = (15/4)ħ^2 I read on hyperphysics that j = l (+ or-) s, which would give possible values of j of 1/2 and 3/2 for l = 1, s = 1/2, and would...
  3. M

    Quantum Mechanics, Angular momentum, Spin

    Homework Statement The total angular momentum of a particle with orbital angular momentum l (vector) and spin angular momentum s (vector) is j = l + s (vectors). The eigenvalues of j^2, l^2 and s^2 (vectors) are j(j + 1)ħ^2, l(l + 1)ħ^2 and s(s + 1)ħ^2 respectively. State the possible values...