Classical limit of fermions in phase space

9Citations
Citations of this article
12Readers
Mendeley users who have this article in their library.
Get full text

Abstract

Using the mathematical structure of the Grassmann algebra, studied by Schönberg, we write down the Pauli equation and the Dirac equation in phase space. In addition, in order to investigate the physical nature of the spin degree of freedom inherent in these equations we set up a novel classical limiting process ℏ→0. Thus we are able to derive relativistic and nonrelativistic classical statistical mechanics, for particle with spin 1/2, within a geometric algebra framework. © 2001 American Institute of Physics.

Cite

CITATION STYLE

APA

Bolivar, A. O. (2001). Classical limit of fermions in phase space. Journal of Mathematical Physics, 42(9), 4020–4030. https://doi.org/10.1063/1.1386411

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free