Wikiadmin: Created page with "The [http://en.wikipedia.org/wiki/Schrodinger_equation Schrödinger equation] for a general system is
: $-\frac{\hbar^2}{2\mu}\nabla^2\Psi - V\Psi = E\Psi$
w..."

2020-11-20T00:01:54Z

Created page with "The [http://en.wikipedia.org/wiki/Schrodinger_equation Schrödinger equation] for a general system is :<math>-\frac{\hbar^2}{2\mu}\nabla^2\Psi - V\Psi = E\Psi</math> w..."

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The [http://en.wikipedia.org/wiki/Schrodinger_equation Schrödinger equation] for a general system is 
:<math>-\frac{\hbar^2}{2\mu}\nabla^2\Psi - V\Psi = E\Psi</math> 
where <math>\mu</math> is the mass. 

For a hydrogen atom, the potential energy <math>V</math> is 
:<math>V = -\frac{e^2}{4 \pi \epsilon_0 r}</math> 
i.e. <math>V</math> is a function of the radial distance <math>r</math> only: <math>V = V(r)</math> 

[[Image:spherical_polars.png|thumb|right|widthpx| ]]
By performing a co-ordinate transformation from [http://en.wikipedia.org/wiki/Cartesian_coordinate_system Cartesian] to [http://en.wikipedia.org/wiki/Spherical_coordinate_system spherical polars]:

:<math>x = r\,\sin\theta\,\cos\varphi</math> 
:<math>y = r\,\sin\theta\,\sin\varphi</math> 
:<math>z = r\,\cos\theta</math>

Talk:Mod:Hunt Research Group/angular schrodinger - Revision history

Wikiadmin: Created page with "The [http://en.wikipedia.org/wiki/Schrodinger_equation Schrödinger equation] for a general system is :-\frac{\hbar^2}{2\mu}\nabla^2\Psi - V\Psi = E\Psi w..."

Wikiadmin: Created page with "The [http://en.wikipedia.org/wiki/Schrodinger_equation Schrödinger equation] for a general system is
: $-\frac{\hbar^2}{2\mu}\nabla^2\Psi - V\Psi = E\Psi$
w..."