# What is a isotropic harmonic potential?

1. Apr 18, 2005

### Ed Quanta

Well, what is it? If two particles are interacting in an isotropic harmonic potential, then how does this differ from an ordinary harmonic potential?

2. Apr 18, 2005

### dextercioby

Isothrope harmonic potential means that INSTEAD OF

$$V(x,y,z)=k_{1}\frac{x^{2}}{2}+k_{2}\frac{y^{2}}{2}+k_{3}\frac{z^{2}}{2}$$

YOU HAVE

$$V(x,y,z)=\frac{k}{2}\left(x^{2}+y^{2}+z^{2}\right)$$

You can see that this case is spherically symmetric...

Daniel.