Solve the quantum simple harmonic oscillator in three dimensions i.e. find the energy and eigenkets. It's...

Solve the quantum simple harmonic oscillator in three dimensions i.e. find the energy and eigenkets. It's solution will include hermite polynomials.

Expert Solution

here , and are principal quantum numbers in x , y and z direction which take value independent from each other starting from 1 to set pf positive integers. The final eigen ket in 3-d spaceis the product of independent eigen ket of a 1-d harmonic oscillator in three orthogonal directions(x,y and z).

genius_generous answered 2 years ago

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