# Finding the ground-state radial wave function R(r) and the ground-state energy.

A Particle of mass m is in a three-dimensional spherically-symmetric harmonic oscillator potential given by V(r)=(1/2)Kr^2 The particle is in the l=0 state. Find the ground-state radial wave function R(r) and the ground-state energy.

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#### Solution Preview

You should have the needed formulae in your textbooks or lecture notes, and in addition the 1D and 3D quantum harmonic oscillators are described on web page http://en.wikipedia.org/wiki/Quantum_harmonic_oscillator

From the general formula for the 3D ...

#### Solution Summary

The solution finds the ground-state radial wave function R(r) and the ground-state energy.

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