A study on black-body radiation: classical and binary photons

The present study gives a detailed analysis of the black-body radiation based on classical random variables. It is shown that the energy of a mode of a chaotic radiation field (Gauss variable) can be uniquely decomposed into a sum of a discrete variable (Planck variable having the Planck-Bose distribution) and a continuous dark variable (with a truncated exponential distribution of finite support). The Planck variable is decomposed, on one hand, into a sum of binary variables representing the binary photons of energies 2^s*h*nu with s=0,1,2,etc. In this way the black-body radiation can be viewed as a mixture of thermodinamically independent fermion gases. The Planck variable can also be decomposed into a sum of independent Poisson components representing the classical photo-molecules of energies m*h*nu with m=1,2,3,etc. These classical photons have only particle-like fluctuations, on the other hand, the binary photons have wave-particle fluctuations of fermionic character.Comment: 20 page

The digital randomness of black-body radiation

The statistical properties of the fractional part of the random energy of a spectral component of black-body radiation have been analysed in the frame of classical Kolmogorovian probability theory. Besides the integer part of the energy (which satisfies the well-known Planck-Bose distribution), the realizations of its fractional part (related to 'round-off errors') has been represented by binary sequences, like z = 0.001011000010.... It has been shown that the binary variables realized by the 0-s and 1-s at different positions are independent. From the condition of independence the original distribution of the fractional part z can be recovered. If these binary variables have the same distribution, then they describe a temperature-independent random energy, whose expectation value is just the zero-point energy. Thus, the zero-point fluctuation can be considered as a physical representative of an ideal random number generator.Comment: 8 pages. 21th International Laser Physics Workshop (LPHYS'12), July 23-27, 2012, Calgary, Canada, Seminar 7, P7.

Laser assisted proton collision on light nuclei at moderate energies

We present analytic angular differential cross section model for laser assisted proton nucleon scattering on a Woods-Saxon optical potential where the nth-order photon absorption is taken into account simultaneously. As a physical example we calculate cross sections for proton - $^{12}$C collision at 49 MeV in the laboratory frame where the laser intensity is in the range of $10^{7} - 10^{21}$ W/cm$^2$ at optical frequencies. The upper intensity limit is slightly below the relativistic regime.Comment: 6 pages, 4 figures, will be submitted to Phys. Rev.