2) Consider a system of angular momentum 1=1. The basis of its state space is given by {117, 107, 1-17}, which are the eigen states of the component of the angular momentum operator L. Let the Hamiltonian for this system in this basis be. ^ Ĥ = ħw 010 101 010 where w is a real constant. a) Find the stationary states of the system and their energies. state
2) Consider a system of angular momentum 1=1. The basis of its state space is given by {117, 107, 1-17}, which are the eigen states of the component of the angular momentum operator L. Let the Hamiltonian for this system in this basis be. ^ Ĥ = ħw 010 101 010 where w is a real constant. a) Find the stationary states of the system and their energies. state
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Transcribed Image Text:2) Consider a system of angular momentum 1=1. The basis of
its state space is given by {117, 107, 1-17}, which are the
eigen states of the component of the angular momentum
operator Lg. Let the Hamiltonian for this system in this
basis be.
H = hw
010
101
010
where w is a real constant.
a) Find the stationary states of the system and their energies.
b) At time t=0, the system is in the state,
17(0) = { 117 + 107-1-173
state vector | Y(t) > at time t.
Find the
c) At time + the value of Lz is measured, find the probabilities
of the various possible results.
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