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The Dirac equation as a path to the concept of quanta, and its role in quantum electrodynamics

Bacelar Valente, Mario (2008) The Dirac equation as a path to the concept of quanta, and its role in quantum electrodynamics. [Preprint]

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In this article the Dirac equation is used as a guideline to see the historical emergence of the concept of quanta, associated with the quantum field. In P. Jordan’s approach, electrons as quanta result from the quantization of a classical field described by the Dirac equation. With this quantization procedure – also used for the electromagnetic field – the concept of quanta becomes a central piece in the applications of quantum electrodynamics. This does not seem to avoid the apparent impossibility of using the concept of quanta – and with it the common interpretation of quantum fields – when interacting fields are considered together as one complete system. In this article it is defended that the type of analysis that leads to so drastic conclusions is avoidable if a clear distinction is made between the mathematical framework of the theory and the particular physical models (used in the empirical corroboration of the theory) that are constructed using the theory. When dealing with models there really is no system of complete interacting fields, and what we have is a description of the interactions between distinct fields. In this situation the concept of quanta is central in the description of interacting fields, the Fock space being the natural mathematical structure that permits maintaining the quanta concept when considering the interaction between fields.

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Item Type: Preprint
Bacelar Valente, Mario
Keywords: Dirac equation, quanta concept, quantum electrodynamics, models in physics, Haag theorem
Subjects: Specific Sciences > Physics > Quantum Field Theory
Depositing User: Mario Bacelar Valente
Date Deposited: 02 Jul 2008
Last Modified: 07 Oct 2010 15:16
Item ID: 4097
Subjects: Specific Sciences > Physics > Quantum Field Theory
Date: April 2008

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