Quantum Mechanics of Atoms

Şaki̇r Erkoç

Classical mechanics (CM) is applied to a wide range of dynamical systems, including the EM field of interaction with matter. On the other hand, quantum mechanics (QM) is more suitable for the description of phenomena on the atomic scale.

Narciso N. Garcia, Arthur C. Damask, Steven A. Schwarz

Wladimir Guglinski

Schrödinger developed his famous equation from the standard wavelength. However, as demonstrated here, inside the atom, the electron does not move according to de Broglie-Einstein’s postulate λ = h/p, because the wavelength of the electron’s motion varies with the distance to the nucleus. Therefore, Schrödinger’s equation does not quantify the real electron’s motion in atoms. Here, the equation of a variable wavelength for electron motion inside atoms is introduced. The calculation, applied to the hydrogen atom, achieves energy level values very close to the experimental values. This successful result can provide a deeper understanding of the behavior of electrons in atoms and improve the fundamentals of quantum mechanics (QM). However, beyond the question concerning the postulate λ = h/p, two other fundamental principles may be missing in modern QM, and they are: an anisotropic space inside atoms and a motion of the electron through a helical trajectory.

Pranab Sarkar, Sankar Prasad Bhattacharyya

Vasant Natarajan A

We discuss the axiomatic basis of quantum mechanics and show that it is neither general nor consistent, since its axioms are incompatible with each other and moreover it does not incorporate the magnetic quantization as in the cyclotron motion. A general and consistent system of axioms is conjectured which incorporates also the magnetic quantization. 1 The neccessity of quantum mechanics (QM) was a result of experimental data for the energy spectrum of atoms which could not be explained in accord with the laws of classical mechanics. Nevertheless in the axiomatic basis of QM there are axioms which are not supported by the experimental results, since the whole system of axioms (1) is introduced only as a ”plausible generalization ” of the first axiom [1]: