Raj posted an Question
January 18, 2022 • 16:53 pm 30 points
  • IIT JAM
  • Physics (PH)

B. calculate the expectation value of < p; > for the one-dimensional harmonic oscillator in the n excited state. c. find out < l' > and < lz > for the states v3

b. Calculate the expectation value of < P; > for the one-dimensional harmonic oscillator in the n excited state. C. Find out < L' > and < Lz > for the states V3,22 and V2.00 of hydrogen atom. (3+2) d. What do you mean by probability and probability current density for a quantum mechanical system? Deduce the equation expressing the conservation of probability. 5 (2+3)

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    Ravi bhushan best-answer

    Here is the detailed solution.

    cropped7807769626395852039.jpg
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    please detailed proof of px2 exception value,I cannot understand

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    sir how you write the first expression of exception value of harmonic oscillator

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    What I have written that is correct.

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    Px = i sqrt hmw/2 (a+ - a)

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    Take square of Px and find expectation value.

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    If you don't have believe then you can check Harmonic oscillator chapter in Quantum Mechanics.

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