| Author(s) | Najwa A. Enaiah |
| Affiliation | Department of Physics, Faculty of Science, King Abdul Aziz University, Jeddah, Saudi Arabia |
| Title | Determination of the Determinant Operator  |
| Source | Journal of King Saud University. Science. Volume 18, No 2. (2006/1426) |
| Abstract | The (det Â) is the main goal for evaluation of the path integral formula and the dynamical finite temperature, in quantum field theory. In this study, the Fourier representation is applied as a new treatment by using ς – function in order to find the determinant of any operator function  (det Â) or any operator involving Dirac matrix . This technique is explicitly demonstrated in two examples, and the results are in a good agreement with another technique used in this field. Keywords: Determinant, Dirac, Fourier, Matrix, Operator, Zeta-function, 2000 mathematics subject classification. |
