Classical signal viewpoint to bunching and anti-bunching
Abstract
The similarity between classical wave mechanics and quantum mechanics (QM) played an important role in the development of QM (starting with works of De Broglie, Schr\"odinger, "late Einstein", Lamb, Lande, Mandel, Marshall, Santos, Boyer, and many others). We present a new wave-type approach, so called prequantum classical statistical field theory (PCSFT). PCSFT explores an analogy between some quantum phenomena and classical theory of random fields. 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. In this paper PCSFT is used to provide a classical signal representation of bunching and anti-bunching. At least the latter is typically considered as essentially quantum (nonclassical) phenomenon.
Keywords
Cite
@article{arxiv.1105.4268,
title = {Classical signal viewpoint to bunching and anti-bunching},
author = {Andrei Khrennikov},
journal= {arXiv preprint arXiv:1105.4268},
year = {2011}
}
Comments
It was stressed that the classical signal model under consideration can be reproduce anti-bunching, i.e., Fermionic statistics; a recent proof of I. Volovich, arXiv:1106.1892v1, of impossibility of classical description of anti-bunching is discussed in relation to the presented prequantum model