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This book aims at presenting basic principles of Quantum Mechanics to graduate and postgraduate students of physics at various Universities. The text has been divided into 23 chapters for the convenience of the students. Solved examples and questions have been incorporated to enable the students in gaining a better understanding of the concepts involved.
The second edition has been revised and the following topics have been included: Physical significance of spherical harmonics, field and coordinates of the field, Lagrangian formulation for the fields, commutation relations for field operators, quantisation of non-relativistic Schrödinger field, the neutral Klein Gordon field, the Dirac field, the neutral Klein Gordon field in terms of plane waves, the charged KG field, the Einstein-Podolsky-Rosen problem and the Aharonov-Bohm effect.
This book aims to cover the UGC curriculum of physics for quantum physics. Designed for BSc (Hons) and MSc in Physics it will also serve as a useful text/reference for students of chemistry. The text lays emphasis on physical concepts with details of necessary mathematical steps. The salient features of the book include clear presentation of concepts student-friendly approach solved examples tables and illustrations for better understanding of the concepts and questions at the end of each chapter. This is the thoroughly revised edition which includes new topics such as Physical significance of spherical harmonics field and coordinates of the field Lagrangian formulation for the field commutation relations for field operators• quantisation of nonrelativistic Schrodinqer field• the neutral Klein Gordon field the Dirac field the neutral Klein Gordon field in terms of plane waves• the charged KG field the Einstein-Podolsky-Rosen problem and the Aharonov-Bohm Effect.
Foundation of 'Quantum' - Concept
Wave Mechanics
Operator—Formalism
The Fourier Transform, Dirac Delta Function and Wave Packets
Linear Harmonic Oscillator
Solution of Schrödinger Equation for Spherically Symmetric Problems
Matrix Formulation of Quantum Mechanics
Dirac Representation Theory
Simple Harmonic Oscillator using Ladder Operators
Introductory Quantum Dynamics (The Three Quantum Mechanical Pictures)
Angular-Momentum
The Internal Angular Momentum
Total Angular Momentum
Symmetries, Invariance Principles and Conservation Laws
Time Independent Perturbation Theory
The Variation Method
The WKB Approximation Method
Time Dependent Perturbation Theory
Many Electron Atoms
Theory of Scattering
Relativistic Theory
Quantization and Second Quantization
The Einstein-Podolsky-Rosen Paradox
The Aharonov-Bohm Effect
Appendices
Alternative Derivation of Uncertainty Principle
Integrals Involving Gaussian Functions
Tensors
Legendre and Associated Legendre Functions and their Recurrence Relations
Density Matrix and Density Operator
The Relativistic Notations
Hamiltonian in Polar Coordinates
Bibliography
Index
