This volume presents a clear understanding of the quantum mechanics of particles with reference to the current understanding of the theory of relativity, gravitation, and electromagnetism, including essential phenomena as spin, the graviton spin, black holes, and the quantum particle states in the extreme conditions of a black hole formation, and of the Schwarzschild boundary. The reader is introduced to the recent theory of quantum particle dynamics as a distribution of matter propagating with the velocity of the waves. The text describes this distribution by a Fourier space-time series expansion, which we call the wave function. The subsequent chapters delve into the mechanics of quantum particles in a gravitational field, charged particles in a gravitational field and finally, the least action and matter-field dynamics in a gravitational field. The book also explains important rules in quantum mechanics such as the mass quantization rule, Dirac’s formulation of the general theory of relativity, electromagnetic field theory, quantum particle interactions and more. The volume serves as a concise introduction to the complex topic of quantum particle mechanics for scholars involved in advanced physics courses.
Table of Contents
PREFACECHAPTER 1 INTRODUCTION
CONCLUSION
CHAPTER 2 QUANTUM PARTICLE AS A DISTRIBUTION OF MATTER
CONCLUSION
CHAPTER 3 QUANTUM PARTICLE IN THE GRAVITATIONAL FIELD
3.1. CURVED TIME-SPACE COORDINATES.
3.2. CURVED PHYSICAL SYSTEM IN THE TOTAL UNIVERSE
3.3. THE MASS CONSERVATION AS A RELATIVISTIC INVARIANCE
3.4. HARMONIC OSCILLATIONS AND METRIC TENSOR DENSITY
3.5. GAUSS AND STOKES THEOREMS WITH COVARIANT DERIVATIVES.
3.6. GEODESICS.
3.7. THE CURVATURE TENSOR
3.8. BIANCI RELATIONS AND EINSTEIN’S LAW OF GRAVITATION
3.9. NEWTON’S GRAVITATION EQUATION AND RED SHIFT
3.10. GRAVITATIONAL FIELD WITH SPHERICAL SYMMETRY - THE SCHWARZSCHILD SOLUTION
3.11. QUANTUM PARTICLE IN A SPHERICAL GRAVITATIONAL FIELD AND BLACK HOLE
3.12. EINSTEIN’S LAW OF THE GRAVITATIONAL FIELD AND THE BLACK HOLE DYNAMICS
CONCLUSION
CHAPTER 4 CHARGED QUANTUM PARTICLE IN GRAVITATION AND ELECTROMAGNETIC FIELDS
4.1. QUANTUM PARTICLE DYNAMICS IN ELECTROMAGNETIC FIELD.
4.2. QUANTUM PARTICLE IN A GRAVITATIONAL WAVE AND THE GRAVITON SPIN.
4.3. PROPAGATION WAVE FUNCTIONS.
CONCLUSION
CHAPTER 5 THE LEAST ACTION AND MATTER-FIELD DYNAMICS IN GRAVITATIONAL FIELD
5.1. GRAVITATION ACTION
5.2. MATTER ACTION
5.3. ELECTROMAGNETIC FIELD ACTION
5.4. ELECTRIC CHARGE ACTION AND THE TOTAL MATTER-FIELD ACTION
CONCLUSION
REFERENCES
DEDICATION
SUBJECT INDEX
Author
- Eliade Stefanescu
