QuantumJG's Quantum Mechanics Question Thread.

[QuantumJG]

The Sun's emission peak is the same wavelength as our eye's sensitivity peak.

Is this because our eye can be modelled as a blackbody? 

[QuantumJG]

Finite Square Well Problem:

Consider a particle with energy E bound to a finite square well of height U and width 2L situated on -L x +L. Because the potential energy is symmetric about the midpoint of the well, the stationary state waves will either be symmetric or anti-symmetric about this point.

a.) Show that for E<U, the conditions for smooth joining of the interior and exterior waves lead to the following equation for the allowed energies of the symmetic waves:



Where:

-

-

b) Show that the energy condition in (a) can be rewritten as:



I'm really confused as where to start with the problem.
 

[QuantumJG]

If someone could just give me a starting point.

[mark_alec]

In the area inside the well, you would expect an oscillatory solution to the S.E. In the area outside the well, you would expect an exponentially decaying solution. If you plug in those with the conditions on E and U, you should be able to get the boundary conditions as required.