Question:
The state of a harmonic oscillator is given as Ξ¨ =\(\frac{1}{ β3}\) π0 -\(\frac{1}{ β6}\) π1+\(\frac{1}{ β2}\) π2 , where π0, π1 and π2 are the normalized wave functions of ground, first excited, and second excited states, respectively. Which of the following statement(s) is/are true?
The state of a harmonic oscillator is given as Ξ¨ =\(\frac{1}{ β3}\) π0 -\(\frac{1}{ β6}\) π1+\(\frac{1}{ β2}\) π2 , where π0, π1 and π2 are the normalized wave functions of ground, first excited, and second excited states, respectively. Which of the following statement(s) is/are true?
Updated On: Oct 1, 2024
- A measurement of the energy of the system yields πΈ=\(\frac{1}{2}\) βπ with non-zero probability
- A measurement of the energy of the system yields πΈ =\(\frac{5}{3}\) βπ with non-zero probability
- Expectation value of the energy of the system β©πΈβͺ = \(\frac{5}{3}\) βπ
- Expectation value of the energy of the system β©πΈβͺ = \(\frac{7}{8}\) βπ
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The Correct Option is A, C
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The correct options are: A and C
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