| Автор | George Jaroszkiewicz |
| Автор | Keith Norton |
| Дата выпуска | 1997-05-07 |
| dc.description | We apply the principles discussed in an earlier paper to the construction of discrete time field theories. We derive the discrete time field equations of motion and Noether's theorem and apply them to the Schrödinger equation to illustrate the methodology. Stationary solutions to the discrete time Schrödinger wave equation are found to be identical to standard energy eigenvalue solutions except for a fundamental limit on the energy. Then we apply the formalism to the free neutral Klein - Gordon system, deriving the equations of motion and conserved quantities such as the linear momentum and angular momentum. We show that there is an upper bound on the magnitude of linear momentum for physical particle-like solutions. We extend the formalism to the charged scalar field coupled to Maxwell's electrodynamics in a gauge invariant way. We apply the formalism to include the Maxwell and Dirac fields, setting the scene for second quantization of discrete time mechanics and discrete time quantum electrodynamics. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Principles of discrete time mechanics: II. Classical field theory |
| Тип | paper |
| DOI | 10.1088/0305-4470/30/9/023 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 30 |
| Первая страница | 3145 |
| Последняя страница | 3163 |
| Аффилиация | George Jaroszkiewicz; Department of Mathematics, University of Nottingham, University Park, Nottingham NG7 2RD, UK |
| Аффилиация | Keith Norton; Department of Mathematics, University of Nottingham, University Park, Nottingham NG7 2RD, UK |
| Выпуск | 9 |
