Theoretical Concepts of Quantum Mechanics

Mohammad Reza Pahlavani

Kong Lingfang

Abstract The theoretical framework of quantum mechanics consists of five assumptions, and academic circle generally believed that the correctness of the assumptions can only be proved by experiments and cannot be proved theoretically. In this paper, according to the stochastic process problem in probability theory, we used Fourier transform, delta function and other methods to study stochastic motion, derived the wave function, superposition state and other concepts, thus giving the theoretical proof process of five assumptions. This paper is based on the basic concepts of quantum mechanics, the derivation process further improves the mathematical basis of quantum mechanics, but the derivation conclusion can be applied to both quantum mechanics and classical mechanics.

Mardame Pangihutan Sinaga, Dolfie Paulus Pandara, Ukta Indra Nyuswantoro +2 more

This study aims to investigate essential concepts in quantum mechanics and theoretical physics, with an emphasis on the 1+1 dimension. We examine the Dirac equation for relativistic spin-1/2 particles, the Time-Dependent Schrödinger Equation in 1+1 spacetime with flat conformal metric, and connect them to the Dirac equation. Additionally, we explore the Alcubierre Metric related to warp drive, particle modeling in a harmonic potential using the Schrödinger Equation, and the Gödel Metric Solution to depict the peculiarities of spacetime. The research aims to deepen the understanding of these concepts, identify theoretical implications, and their potential applications. This research aims to enhance the understanding of fundamental physics, assist in the development of future technologies, and provide deeper insights into the universe. Its benefits lie in contributing to theoretical understanding in physics, which can spark the development of new theories. This study is limited to physics concepts in the 1+1 dimensions, without empirical experiments or practical applications. The primary focus is on the theoretical analysis of these concepts. The results of this research have potential theoretical implications in understanding basic physics and spacetime phenomena. The simplification and connections between these concepts can aid in the development of new theories in theoretical physics. The uniqueness of this research lies in its integrative approach to quantum mechanics and theoretical physics concepts in the 1+1 dimension, which may not have been extensively explored previously. Through this research, we have investigated several key concepts in quantum mechanics and theoretical physics in the 1+1 dimension. These findings can make a significant contribution to our understanding of the universe and the potential development of new theories in physics.

Stephen J. Gustafson, Israel Michael Sigal

Mohamed Daris

Relativity and quantum mechanics remain two very binding things, and both are separating either by method or physical experience. In this section, I will make an approach to better facilitate a connection between quantum mechanics and relativity that gives us a new vision on the fact that the two concepts can be related theoretically and experimentally to give birth to the new principles in the physical theory and to better improve theoretical and experimental research. The new conception of this principle develops scientific and technical research better.

Stephen J. Gustafson, Israel Michael Sigal