Recent content by graviton_10

  1. graviton_10

    Undergrad Showing that operators follow SU(2) algebra

    For two quantum oscillators, I have raising and lowering operators and , and the number operator . I need to check if operators below follow commutation relations. Now as far as I know, SU(2) algebra commutation relation is [T_1, T_2] = i ε^ijk T_3. So, should I just get T_1 and T_2 in...
  2. graviton_10

    Expected value of variance of Hamiltonian in coherent states

    So, I used the fact that the commutator of a and a dagger is 1. Does it look good now?
  3. graviton_10

    Expected value of variance of Hamiltonian in coherent states

    Yes, but how to do it the right way?
  4. graviton_10

    Expected value of variance of Hamiltonian in coherent states

    I am trying to find the expected value of the variance of energy in coherent states. But since the lowering and raising operators are non-hermitian and non-commutative, I am not sure if I am doing it right. I'm pretty sure my <H>2 calculation is right, but I'm not sure about <H2> calculation...
  5. graviton_10

    Coupled Vertical Spring-Mass Systems

    How should I proceed?