Question

For a particle in the first excited state of harmonic oscillator potential,

a) Calculate 〈?〉1, 〈?〉1, 〈? 2〉1, 〈? 2〉1.

b) Calculate (∆?)1 and (∆?)1.

c) Check the uncertainty principle for this state.

d) Estimate the length of the interval about x=0 which corresponds to the classically allowed domain for the first excited state of harmonic oscillator.

e) Using the result of part (d), show that position uncertainty you get in part (b) is comparable to the classical range of the oscillator for the state n=1.

f) What is the probability of finding the particle outside the classically allowed domain for the state n=1.

Answer 1

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