Quantum Mechanics: Detailed Historical, Mathematical and Computational Approaches

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Main features:
i) A different approach for teaching Quantum Mechanics encompassing old quantum mechanics, matrix mechanics and wave mechanics in a historical perspective which helps to consolidate most important concepts of Quantum Mechanics;
ii) Original information from the most important papers of Quantum Mechanics;
iii) Derivation of all important equations of Quantum Mechanics, for example, Heisenberg’s uncertainty principle, de Broglie’s wave-particle duality, Schrödinger’s wave equation, etc., showing their interrelations through Dirac’s equations and other applications of matrix and wave mechanics;
iv) Comprehensive mathematical support for the understanding of Quantum Mechanics; derivation of all equations make reading easier;
v) The illustrations of the book cover examples, exercises and do-it-yourself activities;
vi) Fundamentals of Fortran and numerical calculation along with the source codes for numerical solutions of several mathematical and quantum problems. All source codes are in the author’s site: (https://www.fortrancodes.com/);
vii) Chapters devoted to linear algebra and differential equations applied to quantum mechanics and their numerical solutions;
viii) Complete solution for the one-electron and two-electron problems using Schrödinger’s time independent equation along with their source codes.

Author(s): Caio Lima Firme
Publisher: CRC Press
Year: 2022

Language: English
Pages: 454
City: Boca Raton

Cover
Title Page
Copyright Page
Dedication
Preface
Table of Contents
Part One—Computational and Mathematical Support
1. Basics of Fortran
2. Basics of Numerical Calculation and Series
3. Linear Algebra for Quantum Mechanics
4. Differential Equations for Quantum Mechanics
Part Two—Old Quantum Mechanics, Matrix Mechanics and Wave Mechanics
5. Absorption/Emission Spectroscopy and Spectral Lines
6. Black-body Radiation, Einstein and Planck’s Law
7. Bohr, Sommerfeld and Old Quantum Mechanics
8. Heisenberg’s Matrix Quantum Mechanics
9. Wave Packet and de Broglie’s Wave-particle Duality
10. Schrödinger’s Wave Quantum Mechanics
11. Applications of Matrix and Wave Quantum Mechanics
12. Landé, Pauli, Dirac and Spin
13. Boltzmann and Fermi-Dirac Statistics
Part Three—Schrödinger’s Solutions to One and Two-electron Problems
14. One-particle Quantum Harmonic Oscillator
15. Particle in a Box
16. Particle in a Circular Motion and Angular Momentum
17. Hydrogen-like Atom and Atomic Orbitals
18. Helium Atom, Variational Method and Perturbation Theory
Appendix: Special Case of the Associated Laguerre Equation
Index