Decay length of Half Square Well

[MitsuZero]

If one wall is at infinite potential, and the other at some finite potential, what is the decay length outside of the well?

I was thinking it might be twice that for a finite square well.

Also can anyone provide some information regarding these wells? Google is (surprisingly) devoid of any information on these.

Thanks a lot.

 

[Ben Niehoff]

Schrodinger's equation is separable and not too difficult to solve for the half-infinite square well. Why not just work out the math and answer your questions yourself?

 

[denian]

The decay length of a Half Square Well refers to the distance outside of the well where the wave function of a particle decays to a negligible value. In the case where one wall is at infinite potential and the other is at a finite potential, the decay length is indeed twice that of a finite square well. This is because the potential barrier in a Half Square Well is twice the height of a finite square well, leading to a longer decay length.

As for information on these wells, they are a type of potential energy function commonly used in quantum mechanics to model the behavior of particles in confined spaces. They are often used to study the properties of quantum systems, such as the behavior of electrons in a solid state material. A quick search on "Half Square Well potential" or "particle in a box" should provide more information on these systems.