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| Author(s): |
Paulo Barbosa Barros
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Física (IF/SBI) |
| Defense date: | 1998-10-29 |
| Examining board members: |
Dmitri Maximovitch Guitman;
Josif Frenkel;
José Abdalla Helayël Neto;
Walter Felipe Wreszinski;
Abraham Hirsz Zimerman
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| Advisor: | Dmitri Maximovitch Guitman |
| Abstract | |
This work is devoted to an application of Grassmann path integrals to operator calculus relevant to problems of relativistic quantum theory. A detailed survey of path integral method is given first. Then we concentrate ourselves on definitions and applications of path integrals over Grassmann variables. We discuss in detail an important role of Grassmann path integrals in representations of relativistic particle propagators. We derive the so called spin factors for such representations doing Grassmann integrations. A completely original contribution was made in application of such integrals to operator calculus. We have derived in such a way a set of new formulas for operator functions of y-matrices. Applications of such formulas are presented. (AU) | |