# Excercise on distinguishable particles interacting with Hamiltonian

1. Feb 11, 2013

### venetiano77

Please, help me with this problem!

Two distinguishable particles of spin 1/2 interact with Hamiltonian
H=A*S1,z*S2,x
with A a positive constant. S1,z and S2,x are the operators related to the z-component of the spin of the first particle and to the x-component of the spin of the second particle, respectively.
If at t=0 the system is in its simultaneous eigenket of S1,z for the eigenvalue h/4pi (ħ/2) and of S2,x for the eigenvalue h/4pi (ħ/2), FIND THE STATE OF THE SYSTEM AT THE TIME t

Attempt of solution:
Firstly, one should use the formulas for temporal evolution. Please, help me!

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2. Feb 11, 2013

### TSny

Re: Excercise on distinguishable particles interacting with Hamiltonia

Note that the problem in the attachment states that the initial state is an eigenket for S2,z rather than S2,x.

Last edited: Feb 11, 2013