Quantum Mechanics 2nd Edition by Mahesh Jain ISBN 8120353382 9788120353381

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ISBN 10: 8120353382
ISBN 13: 9788120353381
Author: Mahesh Jain

Quantum Mechanics 2nd Edition Table of contents:

• Chapter 1: Introduction to Quantum Mechanics

  • The Classical View of Physics: A Prelude
  • The Birth of Quantum Mechanics
  • The Dual Nature of Matter and Radiation
  • Basic Concepts of Quantum Theory
  • The Wave-Particle Duality
  • Quantum Mechanics in Everyday Life

• Chapter 2: Mathematical Foundations

  • Linear Algebra in Quantum Mechanics
  • Complex Numbers and Operators
  • Eigenvalues and Eigenvectors
  • Commutators and Uncertainty Principle
  • Dirac Notation: Bra-Ket Formalism

• Chapter 3: The Schrödinger Equation

  • The Time-Dependent Schrödinger Equation
  • The Time-Independent Schrödinger Equation
  • Potential Energy and Wave Functions
  • Probability Density and Normalization
  • Solutions to the Schrödinger Equation in One Dimension
  • Examples: Free Particle, Infinite Potential Well

• Chapter 4: Operators and Observables

  • The Role of Operators in Quantum Mechanics
  • Hermitian Operators and Eigenfunctions
  • The Measurement Process and Observables
  • The Uncertainty Principle
  • Eigenvalues, Eigenfunctions, and Expectation Values
  • The Postulates of Quantum Mechanics

• Chapter 5: Quantum States and Wavefunctions

  • Superposition Principle
  • Wavefunction Collapse
  • The Particle in a Box: A Fundamental Example
  • Quantum Numbers and Quantum States
  • Quantum Harmonic Oscillator
  • The Hydrogen Atom: A Detailed Study

• Chapter 6: The Angular Momentum in Quantum Mechanics

  • Orbital Angular Momentum
  • Spin Angular Momentum
  • Commutation Relations
  • The Addition of Angular Momenta
  • The Pauli Exclusion Principle
  • The Hydrogen Atom and Angular Momentum Quantization

• Chapter 7: Time Evolution and the Heisenberg Picture

  • The Schrödinger Picture vs. the Heisenberg Picture
  • Time Evolution of Operators
  • The Evolution of States and Wavefunctions
  • The Density Matrix Formalism
  • Time-Dependent Perturbation Theory
  • Transition Probabilities and Fermi’s Golden Rule

• Chapter 8: Approximation Methods

  • Perturbation Theory: Time-Independent and Time-Dependent
  • Variational Method
  • WKB Approximation
  • The Adiabatic Approximation
  • The Born-Oppenheimer Approximation

• Chapter 9: Quantum Mechanics of Identical Particles

  • Bosons and Fermions
  • Symmetry and the Wavefunction of Identical Particles
  • The Pauli Exclusion Principle in Multi-Electron Systems
  • Quantum Statistics: Bose-Einstein and Fermi-Dirac Distributions

• Chapter 10: Quantum Mechanics and Relativity

  • The Need for Relativistic Quantum Theory
  • The Klein-Gordon Equation
  • The Dirac Equation
  • Spin-1/2 Particles and Antiparticles
  • The Role of Quantum Field Theory in High-Energy Physics

• Chapter 11: Quantum Mechanics of Systems of Particles

  • Systems of Many Particles
  • The Hamiltonian for Systems of Particles
  • Symmetry Operations and Conservation Laws
  • Quantum States in Systems of Particles
  • Quantum Entanglement and Nonlocality

• Chapter 12: Applications of Quantum Mechanics

  • Quantum Tunneling
  • The Quantum Hall Effect
  • Superconductivity
  • Quantum Computing and Information Theory
  • Quantum Cryptography
  • Applications in Nanotechnology

• Chapter 13: Measurement Theory and Quantum Computing

  • The Measurement Problem in Quantum Mechanics
  • Quantum Mechanics and Information
  • Qubits and Quantum Gates
  • Quantum Algorithms: Shor’s Algorithm, Grover’s Algorithm
  • Quantum Decoherence and Quantum Error Correction
  • Introduction to Quantum Computing Architectures

• Chapter 14: Relativistic Quantum Fields

  • Introduction to Quantum Field Theory
  • Scalar Fields and Lagrangians
  • The Klein-Gordon Field
  • Quantization of the Electromagnetic Field
  • Quantum Electrodynamics (QED)
  • Quantum Field Theory and Particle Interactions

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