The Hamiltonian for a quantum harmonic oscillator of mass ๐‘š in three dimensions is
The Hamiltonian for a quantum harmonic oscillator of mass ๐‘š in three dimensions is

Q. The Hamiltonian for a quantum harmonic oscillator of mass ๐‘š in three dimensions is

where ๐œ” is the angular frequency. The expectation value of ๐‘Ÿ2 in the first excited state of the oscillator in units of

(rounded off to one decimal place) is

Ans: 2.5

Sol:
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