On the Construction of Relativistic Quantum Wave Equation and General Solution of the Second Order Differential Equation

2023/10/27 by Bagis, Nikolaos D.
#34A05 #34A30 #81Q05 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2310.17823

Abstract

Using the elementary axioms of special relativity and quantum mechanics we construct a wave equation which generalizes the Schrodinger equation. We also solve the general second and some higher order differential equations.

Related

• General solution of the Schrödinger equation
• The new wave equations of relativistic and non-relativistic quantum mechanics
• The improvement wave equations of relativistic and non-relativistic quantum mechanics
• A Method for Deriving the Dirac Equation from the Relativistic Newton's Second Law
• The quantummechanical wave equations from a relativistic viewpoint