Abstract

Quantum geometrodynamics (QGD) has established the following fundamental facts: First, every elementary particle is the physical realization of a certain irreducible 4-quantum operator of spin (rank) 0, 1/2 or 1. A photon (boson) is the physical realization of an irreducible 4-quantum operator of spin zero. A fermion is the physical realization of an irreducible 4-quantum operator of spin 1/2. A graviton (boson) is the physical realization of an irreducible 3-quantum operator of spin zero, and the Ws and mesons (bosons) are the physical realizations of irreducible 3-quantum operator of rank one. Second, the particles of every composite fermion system (nuclei, atoms, and molecules) reside in a certain 4-quantum space which is partitioned into an infinite set of subspaces of dimension 4n (n = 1, 2, 3, L, ∞; n is the index of the subspace and n is called principal quantum number by physicists, and period by chemists) each of which is reducible to a set of 2-level cells [1]. With these two fundamental facts, the complexities associated with atomic, nuclear, and molecular many-body problems have evaporated. As an application of the reducibility scenario we discuss in this paper the explicit construction of the periodic table of the chemical elements. In particular we show that each chemical element is characterized by a state ket ｜En; l, m1; s, ms〉where l is orbital angular momentum, s = 1/2, En = E1 + khv (k = 1, 2, 3, L, ∞, E1 is the Schr?dinger first energy level, and v is the Lamb-Retherford frequency).

Highlights

  • Democritus, the father of Greek Chemistry, was the originator of the atomic hypothesis

  • The situation that confronts us in many-fermion systems is similar to the problem that gave birth to statistical mechanics at the beginning of the 20th century

  • Our solution is based on the reducibility theorem according to which a 4-quantum subspace of index

Read more

Summary

Introduction

Democritus, the father of Greek Chemistry, was the originator of the atomic hypothesis. (2014) The Geometrical Theory of the Structure of Nuclei, Atoms, and Molecules. Through the pioneering works of restless chemists of the 17, 18, and 19 centuries AD, notably Robert Boyle, Antoine Lavoisier, and John Dalton, the Aristotelian hypothesis was roundly condemned and eventually rejected. Their efforts, backed up by experimental results, helped to reinstate the Democritian hypothesis. Dirac created his relativistic theory of the hydrogen atom called the Dirac equation [2]. The Schrodinger theory is not expected to apply to many-electron atoms! The Schrodinger theory is not expected to apply to many-electron atoms! It is for this reason that we decide to consider other methods for the treatment of many-particle atoms and nuclear systems

The Reducibility Scenario
The Periodic Table
Conclusions
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call