# Quantum Mechanics: Concepts and Applications

ISBN: 9789391029708

1024 pages

## Description

The book presents basic concepts of Quantum Mechanics to the undergraduate and postgraduate students at various colleges and universities. Starting from the preliminary ideas related to quantum mechanics, a systematic and logical approach has been used in the subsequent chapters, together with the inclusion of modern concepts such as field quantization, Schrödinger's cat problem, qubits and quantum computing. The approach is conceptual and pedagogical and stress is given on using the Dirac notations.

- Preliminary Ideas and Concepts
- Theory of the Atom
- Probability Concepts and Statistical Distribution Functions
- Beginning of the Quantum Concepts
- Wave Functions, State Vector Representation Postulates, and Heisenberg Principle
- The Dirac Delta Function and Fourier Techniques and Wave Packets
- Wave Mechanics
- Operator—Formalism and Operators
- Simple Harmonic Oscillator
- Unitary Operators and Unitary Transformations
- Symmetries, Invariance Principles and Conservation Laws
- Dirac Representation of a State, Operators and Hilbert-Space
- Spherical coordinates and the Hydrogen atom problem
- Angular momentum
- Dynamics of Quantum Systems
- Time Independent Perturbation Theory
- Time Dependent Perturbation Theory
- The Variation Method
- The WKB Approximation Method
- Scattering Theory
- Relativistic Theory
- Fields, Field Quantization and Second Quantization
- The EPR Argument, Bell's Inequality and Schrödinger's Cat Problem
- Quantum Computing
- Appendices
- Index