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A particular two-level quantum system has two eigenstates given by |g) := (9) and |e) := the ground state and Je) is the excited state. The Hamiltonian operator is given by (6), where |g) is A = (:) -Δ0 a. Write down the density matrix and calculate for the partition function. ' b. Calculate for the mean energy of the system. c. Calculate for the expectation value of the operator -1

A particular two-level quantum system has two eigenstates given by |g) := (9) and |e) := the ground state and Je) is the excited state. The Hamiltonian operator is given by (6), where |g) is A = (:) -Δ0 a. Write down the density matrix and calculate for the partition function. ' b. Calculate for the mean energy of the system. c. Calculate for the expectation value of the operator -1

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A particular two-level quantum system has two eigenstates given by lg) := the ground state and Je) is the excited state. The Hamiltonian operator is given by (9) and Je) := (), where |g) is -A 0 Âu O A a. Write down the density matrix and calculate for the partition function. b. Calculate for the mean energy of the system. c. Calculate for the expectation value of the operator 0 –1
Transcribed Image Text:A particular two-level quantum system has two eigenstates given by lg) := the ground state and Je) is the excited state. The Hamiltonian operator is given by (9) and Je) := (), where |g) is -A 0 Âu O A a. Write down the density matrix and calculate for the partition function. b. Calculate for the mean energy of the system. c. Calculate for the expectation value of the operator 0 –1
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