The indirect measurement of biomechanical forces in the moving human body
Inexpensive experimental techniques now exist for indirectly measuring forces within the moving human body. These techniques involve nontrivial applications of basic physical principles, have practica...
Inexpensive experimental techniques now exist for indirectly measuring forces within the moving human body. These techniques involve nontrivial applications of basic physical principles, have practica...
Reducing the gender gap in the physics classroom
We investigate if the gender gap in conceptual understanding in an introductory university physics course can be reduced by using interactive engagement methods that promote in-class interaction, redu...
We investigate if the gender gap in conceptual understanding in an introductory university physics course can be reduced by using interactive engagement methods that promote in-class interaction, redu...
You are not logged in to this journal. Log in
Quantum mechanics of the 1/x2 potential
American Journal of Physics -- February 2006 -- Volume 74, Issue 2, pp. 109-117
Issue Date: February 2006
Connotea
CiteULike
del.icio.us
BibSonomy
In quantum mechanics a localized attractive potential typically supports a (possibly infinite) set of bound states, characterized by a discrete spectrum of allowed energies, together with a continuum of scattering states, characterized (in one dimension) by an energy-dependent phase shift. The 1/x2 potential on 0<x<![[infinity]](http://scitation.aip.org/stockgif3/infin.gif)
confounds all of our intuitions and expectations. Resolving its paradoxes requires sophisticated theoretical machinery: regularization, renormalization, anomalous symmetry-breaking, and self-adjoint extensions. Our goal is to introduce the essential ideas at a level accessible to advanced undergraduates.
©2006 American Association of Physics Teachers
confounds all of our intuitions and expectations. Resolving its paradoxes requires sophisticated theoretical machinery: regularization, renormalization, anomalous symmetry-breaking, and self-adjoint extensions. Our goal is to introduce the essential ideas at a level accessible to advanced undergraduates.
©2006 American Association of Physics Teachers
| History: | Received 19 September 2005; accepted 12 December 2005 |
| Permalink: | http://dx.doi.org/10.1119/1.2165248 |