Quantum mechanics

At the end of the XIX century Lord Kelvin described the structure of an aether responsible, in his opinion, for the true (non-induced) magnetism, consisting of rotating particles. A kind of specific Kelvin medium (aether) is considered: the particles of this medium cannot perform translational motion, but have spinor motions. Lord Kelvin could not write the mathematical equations of such motion, because the formulation of the rotation tensor, a carrier of a spinor motion, was not discovered at the time. In work [1] basic equations of this particular Kelvin medium are obtained, and it is shown that they present a certain combination of the equations of Klein-Gordon and Schrödinger. At small rotational velocities of particles, the equations of this Kelvin medium are reduced to the equations of Klein-Gordon, and at large velocities — to the Schrödinger equation. It is very significant that both equations lie in the basis of quantum mechanics.

In majority of publications the spectrum of diatomic molecules in far infrared spectral area is described as a purely quantum phenomenon, and the spectrum in near infrared spectral area is described by means of using a semi-classical approach. In [2] an attempt to describe the both spectra from mechanical point of view is presented. The approach is based on accounting of the inertia properties of an interatomic bond. In such approach a potential of interaction between atoms in a molecule is defined by a set of partial differential equations. Good agreement with known experimental data in far infrared spectral area and a qualitative explanation of a thin structure of a resonant peak in the near infrared spectral area is obtained.

  1. Zhilin P.A. Reality and mechanics // Proc. of XXIII Summer School - Seminar “Nonlinear Oscillations in Mechanical Systems”. St. Petersburg. 1996. P. 6-49. (In Russian.)
  2. Ivanova E.A., Krivtsov A.M., Zhilin P.A. Description of rotational molecular spectra by means of an approach based on rational mechanics // ZAMM. Z. Angew. Math. Mech. 87. N 2. P. 139–149. (2007)