The Quantum Mechanical Explanation of the Periodic System

The topic of this article lies in the field of problems: substantiating the periodic system of isotopes and the principle of multilevel periodicity using quantum mechanical calculations, combining strong and electromagnetic interactions, and searching for the fundamental cause of periodicity in general. This article is a theoretical section and a continuation of the article: "Periodic system of isotopes", in which the system was checked against 10 types of experimental data, the periodic change of properties at the level of nuclei and the vertical symmetry of subgroups of isotopes were found. Periodic system of isotopes was constructed with the help of a special algorithm, the principle of multilevel periodicity of the atom, from the electrons to the nucleus. As a description of the multilevel periodicity, this paper presents a unified system of quantum numbers, which is used to describe both electron and nucleon shells (binomial probabilistic interpretation). With the binomial interpretation the problem of a particle in a one-dimensional potential well has been solved; quantummechanical calculations for the probability functions of the orbitals and periods of both electrons and nucleons have been performed - characteristic equations have been obtained, the projections of electronic orbitals have been reproduced and the binomial interpretation has been shown to correspond to the family of spherical harmonics. For the electron orbitals the calculation and analysis of solutions of the Schrödinger equation for the binomial interpretation of quantum numbers have been performed. The spatial nature of quantum numbers, for this interpretation, in the form of degrees of freedom is shown. Based on the principle of multilevel periodicity, expressions are derived and planar projections of nucleon nucleon orbitals are constructed, and similarity of the forms with electron orbitals is analyzed and revealed. A critical analysis of the modern spherical coordinate system was made, possible errors in the construction of electron orbitals were shown and, taking into account the drawbacks, two alternative spherical coordinate systems were proposed, for which Lame coefficients were calculated and Laplace equations were derived. As a search for the fundamental cause of multilevel periodicity, a spatial model with changing degrees of freedom 0-n is presented, its manifestation in nature (crystal forms) is found; a number of experiments are proposed; the predictions about the applicability of the multilevel periodicity principle in quark theory are made

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A quantum mechanical explanation of the structure of vinyl cation based on a CASSCF/CASMP2 study

Molecular Physics ◽

10.1080/00268976.2019.1706778 ◽

2019 ◽

Vol 118 (14) ◽

pp. e1706778

Author(s):

Panayiotis C. Varras ◽

Michael G. Siskos ◽

Panagiotis S. Gritzapis

Keyword(s):

Quantum Mechanical ◽

Mechanical Explanation ◽

Vinyl Cation

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A non-quantum mechanical explanation of the single photon double slit experiment

10.1117/12.825886 ◽

2009 ◽

Author(s):

Karl Otto Greulich

Keyword(s):

Single Photon ◽

Quantum Mechanical ◽

Mechanical Explanation ◽

Double Slit Experiment ◽

Slit Experiment ◽

Double Slit

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QUANTUM TELEPORTATION WITH PAIR-COHERENT STATES

International Journal of Quantum Information ◽

10.1142/s0219749907002475 ◽

2007 ◽

Vol 05 (01n02) ◽

pp. 17-22 ◽

Cited By ~ 20

Author(s):

AURÉL GÁBRIS ◽

GIRISH S. AGARWAL

Keyword(s):

Coherent State ◽

Quantum Teleportation ◽

Coherent States ◽

Continuous Variable ◽

Quantum Mechanical ◽

Variable Theory ◽

Hidden Variable ◽

Mechanical Explanation ◽

Pair Coherent State ◽

Local Hidden Variable

Recently, it has been argued that all presently performed continuous variable quantum teleportation experiments could be explained using a local hidden variable theory. In this paper, we study a modification of the original protocol which requires a fully quantum mechanical explanation even when coherent states are teleported. Our calculations of the fidelity of teleportation using a pair-coherent state under ideal conditions suggest that fidelity above the required limit of 1/2 may be achievable in an experiment also.

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