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

Screenshot 763

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

Screenshot 764

(rounded off to one decimal place) is

Ans: 2.5

Sol:

Screenshot 765
Screenshot 766
We will be happy to hear your thoughts

Leave a reply

Gkseries.com
Logo
Register New Account