Quantum Mechanics. Basic Concepts, Mathematical Structure and Applications

Résumé ou Introduction

This book has been written with the notion that a wave is associated with a material particle i.e. waves and particles coexist. Heisenberg's uncertainty principle has been described taking this into account. The book consists of a total of 17 chapters. The two initial chapters discuss the development and basic concepts of Quantum Mechanics. The third chapter is dedicated to the mathematical structure of Quantum Mechanics. The fourth deals with Matrix formulation after which the fifth chapter discusses applications to one-dimensional [1D] problems. The sixth chapter is on Quantum Mechanics of Linear Harmonic Oscillator.

Discussion on Atomic Orbitals of a hydrogen atom and a hydrogen atom of Quantum Mechanics are treated in two separate chapters namely the seventh and eighth chapters. Orbital and general angular momentums are treated in two separate chapters. Among numerous other topics Matrix formulation of Quantum Mechanics, Quantum theory of scattering, Quantum dynamics,[Three pictures of time development]Dirac's Relativistic Quantum Mechanics, Born approximation, Time dependent and Time independent perturbation theory[both generate and non-degenerate case],Variational method, and WKB approximation method have also been discussed.