Complex Functions and Schrödinger Equation

By Kaname Hirano

This book explains the differentiation with respect to complex functions of two variables, which is called Wirtinger derivative, and considers how to describe the motion of matter in a conical coordinate system (relativistic space-time) using complex functions. As an application of this, this book presents the hypothesis that the Schrödinger equation can be interpreted as an equation that describes the time evolution of a stochastic process in a conical coordinate system. The structure of the table of contents is as follows. Basic Complex Functions are Two-variable Functions Complex Function Differentiation (Complex Plane) Complex Function Differentiation (Polar Coordinate) Complex Function Differentiation (Conical Coordinate System) Relativistic Space-time and Conical Coordinate System Relativistic Space-time and Analytical Mechanics Principles of Quantum Mechanics Schrödinger Equation Stochastic Process in Conical Coordinate System Derivation of Schrödinger Equation Mathematical Representation of Irreversible Time Conclusion Appendix. Derivation of Quantum Detection Probability Distribution in Double-Slit Experiment

• Format: Paperback
• Language: English
• ISBN: B0D94FSPK5
• ISBN13: 9798332427992
• Release Date: July 2024
• Publisher: Independently published
• Length: 103 Pages
• Weight: 0.46 lbs.
• Dimensions: 8.9" x 0.3" x 6.0"