Stochastic wave packets of natural oscillatory systems

Georgin Moiseevich Zaslavskiî

Ramakrishna Janaswamy

Alexander V. Gritsunov, И. Н. Бондаренко, А. Г. Пащенко +1 more

Statistical dependences of quantum phenomena substantial for advance in nanoelectronic technology are discussed basing on the interpretation of de Broglie matter waves as real oscillations of the generalized coordinates of some natural oscillatory systems with distributed parameters (NOSs). E.g., electrons are supposed to be excited wave packets of natural electron-positron oscillatory system (NEPOS), not hard particles; photons are wave packets of natural electromagnetic oscillatory system (NEMOS) and so on. The Wheeler-Feynman's concept of “direct interparticle action” is developed for both the quantum radiation-absorption and the Coulomb interaction. The spatio-temporal localization of the NOS wave packets and Heisenberg's “uncertainty principle” both are supposed to be results of the permanent stochastic exchange with action quanta between different NOSs (e.g., NEPOS and NEMOS) according to the general laws of the statistical physics. The basic principles of quantum statistics (probability laws for the stochastic exchange with action quanta between the wave packets of NEPOS and NEMOS in the Minkowski spacetime) are discussed. The new physical sense of de Broglie wavefunctions is illustrated with the simplest quantum systems. E.g., “free electron” is presumed as a spatially localized area (within its “interval of uncertainty”) filled with “pink noise” of NEPOS oscillations. The finite probability of harmonics with large spatial wavenumbers in spectra of NEPOS and NEMOS “wide” wavepackets makes scattering of high-energy electrons still possible creating outward appearance of “point particles” existence.

Alexander V. Gritsunov, И. Н. Бондаренко, А. Г. Пащенко +1 more

Specific treatments of some quantum phenomena substantial for progress in nanotechnology and nanoelectronics are presented. De Broglie waves are interpreted as oscillations of the generalized coordinates of natural oscillatory systems with distributed parameters (NOSs). The spatio-temporal localization of the NOS wave packets and Heisenberg's uncertainty principle both are assumed to be results of the stochastic exchange with action quanta between different NOSs. The quantum kinematics (spatio-temporal evolution of NOS wave packets), quantum dynamics (interaction by means of random exchange with momentum-energy quanta between wave packets of different NOSs), and quantum statistics (probability laws for the stochastic exchange with action quanta between the wave packets in the Minkowski spacetime) are discussed. Both the action four-scalar and the momentum-energy four-vector, as the directional How of action through 3D world, are assimilated with the geometry of NOS eigenmodes in the Minkowski spacetime. The conservation law for the action is supposed as a necessary condition for the energy-momentum conservation. The simplest examples of NOS wave packets are given. Some outcomes of application of this theory to solid-state phenomena are discussed.

Tommy A. Byrd, Megan Ivory, Andrew J. Pyle +4 more

Alexander V. Gritsunov, И. Н. Бондаренко, Oleksiy Pashchenko +3 more

Fundamental issues of quantum electrodynamics of nanophotonic systems essential for further progress of nanotechnology are considered. Hypothesis of natural oscillatory systems with distributed parameters (NOSs) as bases for “real”, not “probabilistic”, de Broglie matter waves underlies the theory of natural oscillatory systems (TNOS). TNOS is a 4D theory in essence; the action, not momentum-energy, is regarded as a primary conservative and quantized physical value of Universe causing excitation of NOSs. Conservation laws individually for the positive and the negative parts of action are supposed. The spatial localization of fermion NOS wave packets (“particles”) and Heisenberg's uncertainty principle both are supposed to be results of a stochastic “spread” of fermion NOS action over multiple degrees of freedom of boson NOSs (according to the general laws of statistical physics). The physical origin of both Coulomb potential and own (spin) magnetic moment of fermions is considered to be also the action spread over boson NOS. A 4D spatio-temporal structure of fermion wave packet conjointly with estimation of actions of respective “forced” eigenmodes of boson NOS (virtual photons) is the subject of this paper.