Let the matrix representation of the Hamiltonian of three-state system be Eo А H = E А Eo using the basis set |1 >, 12 >, and |3 >. a) If the initial state of the system is |w(0) >= 12 >, what is the probability that the system is in state 12 > at time t? b) If the initial state of the system is ly(0) >= |3 >, what is the probability that the system is in state |3 > at time t?
Let the matrix representation of the Hamiltonian of three-state system be Eo А H = E А Eo using the basis set |1 >, 12 >, and |3 >. a) If the initial state of the system is |w(0) >= 12 >, what is the probability that the system is in state 12 > at time t? b) If the initial state of the system is ly(0) >= |3 >, what is the probability that the system is in state |3 > at time t?
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Transcribed Image Text:Let the matrix representation of the Hamiltonian of three-state system be
Eo
A
= H
E1
A
Eo
using the basis set |1 >,
12 >, and |3 >.
a) If the initial state of the system is |y(0) >= |2 >, what is the probability that the system is in state 12 > at time t?
b) If the initial state of the system is ly(0) >= [3 >, what is the probability that the system is in state [3 > at time t?
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