2001/10/09 by Miguel Navarro, Navarro, Miguel
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Mechanics and Applications #advanced mathematical theories #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/0110078
LaTeX, 16 pp
arxiv created 2001/10/09 · arxiv updated 2009/11/30
The quantization rules recently proposed by M. Navarro (and independently I.V. Kanatchikov) for a finite-dimensional formulation of quantum field theory are applied to the Klein-Gordon and the Dirac fields to obtain the quantum equations of motion of both fields. In doing so several problems arise. Solving these difficulties leads us to propose a new classical canonical formalism, which, in turn, leads us to new, improved rules of quantization. We show that the new classical equations of motion and rules of quantization overcome several known unsatisfactory features of the previous formalism. We argue that the new formalism is a general improvement with respect to the previous one. Further we show that the quantum field theory of the Dirac and Klein-Gordon field describes particles with extra, harmonic-oscillator-like degrees of freedom. We argue that these degrees of freedom should give rise to a multi-particle interpretation of the formalism.