Quantum particles from classical statistics
Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being “classical” or “quantum” ceases to be a basic conceptual difference. The dynamics differs, however, between quantum and classical particles. We describe posi...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
[November 2010]
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| In: |
Annalen der Physik
Year: 2010, Volume: 522, Issue: 11, Pages: 807-848 |
| ISSN: | 1521-3889 |
| DOI: | 10.1002/andp.201000088 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1002/andp.201000088 Verlag, lizenzpflichtig, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1002/andp.201000088 
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| Author Notes: | C. Wetterich (Institut für Theoretische Physik, Universität Heidelberg,) |
| Summary: | Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being “classical” or “quantum” ceases to be a basic conceptual difference. The dynamics differs, however, between quantum and classical particles. We describe position, motion and correlations of a quantum particle in terms of observables in a classical statistical ensemble. On the other side, we also construct explicitly the quantum formalism with wave function and Hamiltonian for classical particles. For a suitable time evolution of the classical probabilities and a suitable choice of observables all features of a quantum particle in a potential can be derived from classical statistics, including interference and tunneling. Besides conceptual advances, the treatment of classical and quantum particles in a common formalism could lead to interesting cross-fertilization between classical statistics and quantum physics. |
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| Item Description: | First published: 05 October 2010 Gesehen am 29.11.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1521-3889 |
| DOI: | 10.1002/andp.201000088 |