Reducible representations of CAR and CCR with possible applications to field quantization

Abstract

Reducible representations of CAR and CCR are applied to second quantization of Dirac and Maxwell fields. The resulting field operators are indeed operators and not operator-valued distributions. Examples show that the formalism may lead to a finite quantum field theory.

Contribution to "New ideas in quantization", XXI Workshop on Geometric Methods in Physics, Bialowieza 2002, proceedings to be published in J. Nonlin. Math. Phys., jnmp.cls style package included, reference [3] updated

References in corpus (3)

• Noncanonical quantum optics
• (Noncanonical) field quantization by means of a single harmonic oscillator
• States of light via reducible quantization

Cited by in corpus (6)

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• Cavity-QED tests of representations of canonical commutation relations employed in field quantization