Quantic systems on a Minkowski lattice. (Spanish. English summary) Zbl 0661.65131
In the last years we have witnessed a growing interest in the study of the operator equations of motion in quantum mechanics and in quantum field theory, in the framework of Minkowski lattice. With this approach the field equations become operator difference equations defining a fully consistent quantum theory on Minkowski lattice. The application of the method to various elementary quantum mechanical and field theoretic models, gives good numerical results.
MSC:
65Z05 | Applications to the sciences |
65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
35Q99 | Partial differential equations of mathematical physics and other areas of application |
81T25 | Quantum field theory on lattices |
81T08 | Constructive quantum field theory |