Selected publications:
- Wave Mechanics: Behavior of
a Distributed Electron Charge in an Atom
-
In Part one of this Paper a hypothesis is forwarded of the electron charge in
an atom existing in a distributed form. To check it by methods of
electrodynamics and mechanics (without invoking the formalism of quantum
mechanics and the concepts of the wave function and of the operators), the
potential, kinetic, and total energies were calculated for three states of the
hydrogen atom, which were found to agree closely with the available
experimental data. The Part two of the Paper offers additional assumptions
concerning various scenarios of motion of elements of the distributed electron
charge which obey fully the laws of theoretical mechanics. The angular momentum
of the ground-state hydrogen atom calculated in the frame of theoretical
mechanics is shown to coincide with the spin which is ℏ/2 .
- Separation of Potentials in the
Two-Body Problem
-
In contrast to the well-known solution of the two-body problem through the use
of the concept of reduced mass, a solution is proposed involving separation of
potentials. It is shown that each of the two point bodies moves in its own
stationary potential well generated by the other body, and the magnitudes of
these potentials are calculated. It is shown also that for each body separately
the energy and the angular momentum laws are valid. The knowledge of the
potentials in which the bodies are moving permits calculation of the
trajectories of each body without resorting to the reduced mass.
- Vector Potential and Magnetic
Field of Axially Symmetric Currents
-
A solution is proposed for finding the vector potential and magnetic field of
any distribution of currents with axial symmetry. In this approach, the
magnetic field and the vector potential are looked for not by solving
a differential equation but rather through straightforward calculation of
integrals of one scalar function. The solution is expressed in terms of the
associated Legendre polynomials P_{lm} with the index m of the Legendre
polynomials assuming one value only, m = 1. The solution has the form of
a series, with the coefficients of the polynomials being combinations of
multipole moments.