Discrete phase space - II: The second quantization of free relativistic wave fields
arXiv:0811.0853 · doi:10.1139/P09-090
Abstract
The Klein-Gordon equation, the Maxwell equation, and the Dirac equation are presented as partial difference equations in the eight-dimensional covariant discrete phase space. These equations are also furnished as difference-differential equations in the arena of discrete phase space and continuous time. The scalar field and electromagnetic fields are quantized with commutation relations. The spin-1/2 field is quantized with anti-commutation relations. Moreover, the total momentum, energy and charge of these free relativisitic quantized fields in the discrete phase space and continuous time are computed exactly. The results agree completely with those computed from the relativisitic fields defned on the space-time continuum.
27 pages, 1 figure
References in corpus (1)
Cited by in corpus (5)
- Discrete phase space - I: Variational formalism for classical relativistic wave fields
- Discrete phase space and continuous time relativistic quantum mechanics I: Planck oscillators and closed string-like circular orbits
- Discrete Phase Space, Relativistic Quantum Electrodynamics, and a Non-Singular Coulomb Potential
- Discrete Phase Space-Continuous Time Relativistic Klein-Gordon and Dirac Equations, and a New Non-Singular Yukawa Potential
- Discrete phase space and continuous time relativistic quantum mechanics II: Peano circles, hyper-tori phase cells, and fibre bundles