Finster, Felix and Kamran, Niky and Oppio, Marco (2021) The linear dynamics of wave functions in causal fermion systems. JOURNAL OF DIFFERENTIAL EQUATIONS, 293. pp. 115-187. ISSN 0022-0396, 1090-2732
Full text not available from this repository. (Request a copy)Abstract
The dynamics of spinorial wave functions in a causal fermion system is studied. A so-called dynamical wave equation is derived. Its solutions form a Hilbert space, whose scalar product is represented by a conserved surface layer integral. We prove under general assumptions that the initial value problem for the dynamical wave equation admits a unique global solution. Causal Green's operators are constructed and analyzed. Our findings are illustrated in the example of the regularized Minkowski vacuum. (C) 2021 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | VARIATIONAL-PRINCIPLES; EXISTENCE |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Jul 2022 08:25 |
| Last Modified: | 28 Jul 2022 08:25 |
| URI: | https://pred.uni-regensburg.de/id/eprint/46111 |
Actions (login required)
 |
View Item |
