A quantum system described by a Hamiltonian H is in the state ~√ √ √/2192) - √/2/192) + √/153 :Φ1) |) = N (1+2i) |03) + where lon) are the eigenstates of energy such that Ĥ|øn} energy, and N € R. = √5161). nEolon), Eo has units of (a) Find a suitable scalar N such that |) is normalized. (b) Let the energy of y) be measured. Give all possible measurement results and their corresponding probabilities. Assume that the measurement is ideal, i.e., no measurement errors occur.
A quantum system described by a Hamiltonian H is in the state ~√ √ √/2192) - √/2/192) + √/153 :Φ1) |) = N (1+2i) |03) + where lon) are the eigenstates of energy such that Ĥ|øn} energy, and N € R. = √5161). nEolon), Eo has units of (a) Find a suitable scalar N such that |) is normalized. (b) Let the energy of y) be measured. Give all possible measurement results and their corresponding probabilities. Assume that the measurement is ideal, i.e., no measurement errors occur.
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![A quantum system described by a Hamiltonian Ĥ is in the state
| 1/2(191) - 1/21/2) + √/15
Φι
√2
14/) N
=
(1 +21) 19:3) + √ēlga)].
where [on) are the eigenstates of energy such that Ĥ|ón) = nEo|ón), Eo has units of
energy, and NER.
(a) Find a suitable scalar N such that |) is normalized.
(b) Let the energy of y) be measured. Give all possible measurement results and
their corresponding probabilities. Assume that the measurement is ideal, i.e.,
no measurement errors occur.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F466dfe05-514c-4e8d-9e28-eee295fc0d76%2Fee5d839a-7fbd-49ed-802a-a48bf2f93dab%2F9igyn8b_processed.png&w=3840&q=75)
Transcribed Image Text:A quantum system described by a Hamiltonian Ĥ is in the state
| 1/2(191) - 1/21/2) + √/15
Φι
√2
14/) N
=
(1 +21) 19:3) + √ēlga)].
where [on) are the eigenstates of energy such that Ĥ|ón) = nEo|ón), Eo has units of
energy, and NER.
(a) Find a suitable scalar N such that |) is normalized.
(b) Let the energy of y) be measured. Give all possible measurement results and
their corresponding probabilities. Assume that the measurement is ideal, i.e.,
no measurement errors occur.
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