Heisenberg Uncertainty Principle for Momentum and Position Coordinates Referred to the Joule-Lenz Relation for Energy and Time

Stanislaw Olszewski professor emeritus at the Institute of Physical Chemistry of the Polish Academy of Sciences Member of the Eur...

Stanislaw Olszewski
professor emeritus at the
Institute of Physical Chemistry of the Polish Academy of Sciences
Member of the European Academy of Sciences and Arts

Biographical note on the research work: From my education I am more a physicist than chemist, and this fact dominated in course of more than 60 years long career in research. Quantum problems and quantum theory were regularly at the top of my interest. At the earliest step the electronic spectra of the linear molecules belonging to the so-called unsaturated organic compounds led me to examine the electron interaction in the very narrow potential tubes. A final paper on the subject was published in Zeitschrift fuer Physik B - Condensed Matter,Vol.45,p.297(1982). Earlier a simplified treatment of the electron correlations done with the aid of the electron density approximation has been developed [S. Olszewski,Physical Review Vol. 121, p 42 (1961)] few years before the Kohn-Sham density functional theory.

A modified treatment of the exchange and Coulomb correlation effects between the electrons entering the Thomas-Fermi-Dirac quantum-statistical theory of the atom allowed me to approximate structural properties of numerous inorganic compounds on a purely ab initio theoretical way [ S. Olszewski and M.Dubejko, Journal of Chemical Physics Vol.48, p. 5576 (1968); M. Kucharczyk and S. Olszewski, Journal of Chemical Physics Vol.74, p. 6319 (1981)]. This period of research was supplemented by a study of the band structure of metals done with the aid of the non-Bloch, i,e, standing like electron wave functions classified according to the point-group symmetry properties of a metal [S. Olszewski, Physical Review B, Vol. 3, p. 4361(1971); P. Modrak and S. Olszewski, Physical Review B, Vol. 14, p. 2387 (1976); S. Olszewski and T.Kwiatkowski, International Journal of Quantum Chemistry, Vol.57, p.113 (1996)].

Farther research was devoted first to the cyclotron resonance in metals [ S. Olszewski, T. Rolinski and T. Kwiatkowski, Physical Review B, Vol. 59, p.3740 (1999)], next to the magnetoresistance effect and physical basis of its origin[S. Olszewski, Reviews in Theoretical Science, Vol.1, p. 344 (2013)].Several experimental facts could be explained for the first time with the aid of that model.

A more recent research was focused on a non-probabilistic approach to the time intervals entering the electron transitions. Such a treatment could be done by adapting the Joule-Lenz law of the classical heat-transfer mechanism to the quantum conditions. A validity of the formalism could be checked, rather satisfactorily, by comparing its results with the quantum-mechanical data obtained for the spectral emission intensity in the hydrogen atom [S. Olszewski, Journal of Modern Physics Vol. 7 , p. 827 (2016); ibid. Vol. 7, p. 1004 (2016); ibid. Vol. 7, p. 2314 (2016)].

A special kind of the time scale has been discovered by examining the well-known Schrodinger perturbation method for the non-degenerate energy states. The scale properties occurred to be of a typical circular character and had to be applied separately for each perturbation order necessary to be considered. In effect the scale analysis gives almost automatically the energy perturbation terms which had to be calculated earlier by Schrodinger in a much more complicated way [S. Olszewski, Journal of Modern Physics Vol. 5, p. 1502 (2014), S. Olszewski, Journal of Quantum Information Science Vol. 4, p.269 (2014)].

Research article:
Heisenberg Uncertainty Principle for Momentum and Position Coordinates Referred to the Joule-Lenz Relation for Energy and Time