Effects of walls

Details Effects of walls Effects of walls

2010-07-19

arxiv.org/abs/1007.3136v2

Physics

Quantum Physics

added one page with proof the Hamiltonian is self adjoint, and some remarks about completeness; and two supporting references

Scientific paper

We analyze here the energy states and associated wave functions available to a particle acted upon by a delta function potential of arbitrary strength and sign and fixed anywhere within a one-dimensional infinite well. We consider how the allowed energies vary with the well's width and with the location of the delta function within it. The model subtly distinguishes between whether the delta function is located at rational or irrational fractions of the well's width: in the former case all possible energy eigenvalues are solutions to a straightforward dispersion relation, but in the latter case, to make up a complete set these `ordinary' solutions must be augmented by the addition of `nodal' states which vanish at the delta function and so do not `see' it. Thus, although the model is a simple one, due to its singular nature it needs a little careful analysis. The model, of course, can be thought of as a limit of more physical smooth potentials which, though readily succumbing to straightforward numerical computation, would give little generic information. PACS numbers: 03.65.-w, 73.21.Fg, 01.40.-d

Affiliated with

Also associated with

No associations

Rating

Effects of walls does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Effects of walls, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effects of walls will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-62272