Abstract. Correlations of detection events in two photodetectors placed at the opposite sides of a beam splitter are studied in the frame of classical probability theory. It is assumed that there is always only one photon present in the measuring apparatus during one elementary experiment (one measurement act). Due to the conservation of energy, there is always a strict anticorrelation in one elementary experiment, because the photon cannot excite both of the detectors at the same time. It is explicitely shown in several examples that the "bunching" and "anti-bunching" of the counts in serieses of elementary single-photon experiments is governed by the statistical properties of grouping the sequences of the elementary measurements.
PACS
IntroductionSince Einstein (1905) introduced the concept of "light quanta" (nowadays they are called "photons") there has been a wide-spreading investigation carried out to check whether one photon can interfere with itself, or, perhaps, it can be split. He wrote in the introduction of his path-breaking paper that "According to the assumption to be kept in eye here, by spreading from a point in the outgoing light rays the energy is not distributed continuously to larger and larger spatial regions, but these rays consist of a finite number of energy quanta localized in spatial points which move without falling apart, and they can be absorbed or created only as a whole." This extreme particle picture for the photon (as a point-like singularity), deduced from the thermodynamical study of black-body radiation in the Wien limit, was refined in a later paper by Einstein (1909a) where he derived from the exact Planck law his famous fluctuation formula, which contains both particle-like and wave-like fluctuations. This was the first mathematically correct formula on the wave-particle duality. Einstein (1909b) Varró (2006). The quantization of the radiation field in modern sense was