Quantum particles from classical statistics

• Verfasst von: Wetterich, Christof [VerfasserIn]
• Titel: Quantum particles from classical statistics
• Verf.angabe: C. Wetterich (Institut für Theoretische Physik, Universität Heidelberg,)
• E-Jahr: 2010
• Jahr: [November 2010]
• Umfang: 42 S.
• Fussnoten: First published: 05 October 2010 ; Gesehen am 29.11.2023
• Titel Quelle: Enthalten in: Annalen der Physik
• Ort Quelle: Berlin : Wiley-VCH, 1799
• Jahr Quelle: 2010
• Band/Heft Quelle: 522(2010), 11, Seite 807-848
• ISSN Quelle: 1521-3889
• DOI: doi:10.1002/andp.201000088
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: classical statistical description of quantum mechanics.
• Sach-SW: Foundations of quantum mechanics
• K10plus-PPN: 1871612381

Abstract

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.