Principles and Dynamics of Quantum Mechanics

TL;DR

This paper explores the fundamental principles and dynamics of quantum mechanics, deriving key equations like Schrödinger and Dirac from energy considerations, emphasizing a tangible and experimentally justified approach.

Contribution

It presents a derivation of the Schrödinger and Dirac equations based on energy principles, offering a consistent and experimentally justified perspective on quantum theory.

Findings

Derivation of Schrödinger equation from energy conditions

Derivation of Dirac equation from energy considerations

Quantum theory presented as experimentally justified and consistent

Abstract

The fundamental principle of quantum mechanics is that the probabilities of physical outcomes are obtained from the intermediate states and processes of the interacting particles, considered as happening concurrently. When the interaction is described by a potential, the total energy of the particle is equal to its total kinetic plus potential energies. We derive the Schrodinger and Dirac equations as the conditions the wavefunction must satisfy at each point in order to fulfill the corresponding energy equation. In our approach quantum theory is tangible, experimentally justified and theoretically consistent. PACS numbers: 03.65.-w Keywords: Quantum principles; Quantum dynamics; Schrodinger equation; Dirac equation