O'Reilly logo

Quantum Mechanics with Basic Field Theory by Bipin R. Desai

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

22 Analytic structure of the S-matrix

We discuss the properties of the partial wave S-matrix in the complex momentum and complex energy plane. We establish that bound states appear as poles in these planes. The relation between resonances and bound states are also discussed.

22.1 S-matrix poles

22.1.1 Bound states

 

In this section we discuss how the bound state energies in a given angular momentum state are related to the poles in the complex energy plane of the scattering amplitude in that state. As an illustration we consider a square well potential given by

images

and consider specifically an S-wave (l = 0) bound state. Here we have E < 0, so ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required