RUS  ENG
Full version
JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2012 Volume 172, Number 1, Pages 155–176 (Mi tmf6934)

This article is cited in 1 paper

View of bunching and antibunching from the standpoint of classical signals

A. Yu. Khrennikov

International Center for Mathematical Modelling in Physics and Cognitive Sciences, Linnaeus University, Växjö, Sweden

Abstract: The similarity between classical wave mechanics and quantum mechanics was noted in the works of De Broglie, Schrödinger, “late” Einstein, Lamb, Lande, Mandel, Marshall, Santos, Boyer, and many others. We present a new wave model of quantum mechanics, the so-called prequantum classical statistical field theory, in which an analogy between some quantum phenomena and the classical theory of random fields is investigated. Quantum systems are interpreted as symbolic representations of such fields (not only for photons, cf. Lande and Lamb, but even for massive particles). All quantum averages and correlations (including composite systems in entangled states) can be represented as averages and correlations for classical random fields. We use the prequantum classical statistical field theory to obtain bunching and antibunching in the framework of classical signal theory. We note that antibunching at least is typically considered an essentially quantum (nonclassical) phenomenon.

Keywords: quantum mechanics as emergent phenomenon, classical random field, quantum correlation, classical correlation, bunching, antibunching.

Received: 21.07.2011
Revised: 10.10.2011

DOI: 10.4213/tmf6934


 English version:
Theoretical and Mathematical Physics, 2012, 172:1, 1017–1034

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024