## ABSTRACT

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.

## TABLE OF CONTENTS

part One|175 pages

Computational and Mathematical Support

chapter 1|45 pages

#### Basics of Fortran

chapter 2|32 pages

#### Basics of Numerical Calculation and Series

chapter 3|47 pages

#### Linear Algebra for Quantum Mechanics

chapter |49 pages

#### Differential Equations for Quantum Mechanics

part Two|156 pages

Old Quantum Mechanics, Matrix Mechanics and Wave Mechanics

chapter |10 pages

#### Absorption/Emission Spectroscopy and Spectral Lines 5

chapter |17 pages

#### Black-body Radiation, Einstein and Planck's Law

chapter |17 pages

#### Bohr, Sommerfeld and Old Quantum Mechanics

chapter |27 pages

#### Heisenberg's Matrix Quantum Mechanics

chapter 9|13 pages

#### Wave Packet and de Broglie's Wave-particle Duality

chapter 10|27 pages

#### Schrödinger's Wave Quantum Mechanics

chapter 11|18 pages

#### Applications of Matrix and Wave Quantum Mechanics

chapter 12|20 pages

#### Landé Pauli, Dirac and Spin

chapter 13|5 pages

#### Boltzmann and Fermi-Dirac Statistics

part Three|113 pages

Part Three Schrödinger's Solutions to One and Two-electron Problems