Relativistic Quantum Mechanics from a Single Operator
p. 206-217
Abstract
Relativistic quantum mechanics can now be constructed minimally from a single creation operator with explicit energy, momentum and mass terms. The phase factor, amplitude, spinor structure and vacuum states are all automatic consequences of the initial definition. As separately-defined entities they are completely redundant. The operator can even be reduced to two terms (energy and momentum) if differentiation is defined in a discrete sense. This version of quantum mechanics is also a full quantum field theory, with an automatic incorporation of vacuum and second quantization. Renormalization is, in principle, eliminated by the intrinsic (vacuum) supersymmetry of the fermion and boson structures, while the fundamental interactions of particle physics are consequences of the mathematical structure alone, and do not require any additional 'physical' assumptions.
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References
Bibliographical reference
Peter Rowlands, « Relativistic Quantum Mechanics from a Single Operator », CASYS, 22 | 2008, 206-217.
Electronic reference
Peter Rowlands, « Relativistic Quantum Mechanics from a Single Operator », CASYS [Online], 22 | 2008, Online since 19 September 2024, connection on 10 January 2025. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=3474
Author
Peter Rowlands
Department of Physics, University of Liverpool, Oliver Lodge Laboratory, Oxford St, Liverpool, L69 7ZE, UK