dorsal/arxiv
View SchemaBasic Concepts for a Quantum Mechanical Theory of Events
| Authors | Kim J. Bostroem |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411175 |
| URL | https://arxiv.org/abs/quant-ph/0411175 |
Abstract
A physical theory is proposed that obeys both the principles of special relativity and of quantum mechanics. As a key feature, the laws are formulated in terms of quantum events rather than of particle states. Temporal and spatial coordinates of a quantum event are treated on equal footing, namely as self-adjoint operators on a Hilbert space. The theory is not based upon Lagrangian or Hamiltonian mechanics, and breaks with the concept of a continuously flowing time. The physical object under consideration is a spinless particle exposed to an external potential. The theory also accounts for particle-antiparticle pair creation and annihilation, and is therefore not a single-particle theory in the usual sense. The Maxwell equations are derived as a straightforward consequence of certain fundamental commutation relations. In the non-relativistic limit and in the limit of vanishing time uncertainty, the Schr\"odinger equation of a spinless particle exposed to an external electromagnetic field is obtained.
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"abstract": "A physical theory is proposed that obeys both the principles of special\nrelativity and of quantum mechanics. As a key feature, the laws are formulated\nin terms of quantum events rather than of particle states. Temporal and spatial\ncoordinates of a quantum event are treated on equal footing, namely as\nself-adjoint operators on a Hilbert space. The theory is not based upon\nLagrangian or Hamiltonian mechanics, and breaks with the concept of a\ncontinuously flowing time. The physical object under consideration is a\nspinless particle exposed to an external potential. The theory also accounts\nfor particle-antiparticle pair creation and annihilation, and is therefore not\na single-particle theory in the usual sense. The Maxwell equations are derived\nas a straightforward consequence of certain fundamental commutation relations.\nIn the non-relativistic limit and in the limit of vanishing time uncertainty,\nthe Schr\\\"odinger equation of a spinless particle exposed to an external\nelectromagnetic field is obtained.",
"arxiv_id": "quant-ph/0411175",
"authors": [
"Kim J. Bostroem"
],
"categories": [
"quant-ph"
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"title": "Basic Concepts for a Quantum Mechanical Theory of Events",
"url": "https://arxiv.org/abs/quant-ph/0411175"
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