Discrete-time quantum mechanics
- 15 September 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 32 (6), 1476-1485
- https://doi.org/10.1103/physrevd.32.1476
Abstract
The finite-element (collocation) method enables us to construct discrete time-lattice quantum systems that accurately approximate continuum quantum systems. The discrete quantum systems so generated are fully consistent quantum-mechanical systems in their own right. This paper gives a comprehensive treatment of such quantum systems. We examine various finite-element schemes, construct the effective lattice Hamiltonian, and calculate eigenvalues. Numerical results are extremely easy to obtain and are very accurate.Keywords
This publication has 5 references indexed in Scilit:
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- Consistent Formulation of Fermions on a Minkowski LatticePhysical Review Letters, 1983
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