Description
PREFACE
This book provides a clear and systematic introduction to quantum mechanics,
covering its fundamental principles, mathematical formulation, and important applications.
Designed for undergraduate and early postgraduate students, it emphasizes
conceptual clarity, detailed derivations, and physical interpretation.
The text bridges theory with modern applications, enabling learners to build
a strong foundation for advanced study in physics and related fields.
Each unit is structured to guide students from fundamental ideas
to more advanced quantum concepts in a logical progression.
TABLE OF CONTENTS
Unit 1: Introduction to Quantum Physics
- Historical Background
- Limitations of Classical Physics
- Blackbody Radiation and Planck’s Hypothesis
- Photoelectric Effect
- Compton Effect
- Dual Nature of Light
- Matter Waves (de Broglie Hypothesis)
- Davisson–Germer Experiment
Unit 2: Wave Mechanics
- Matter Waves and Wave Packets
- Probability Interpretation of the Wave Function
- Normalization of the Wave Function
- Expectation Values
- Probability Current Density
Unit 3: Schrödinger Wave Equation
- Time-Dependent Schrödinger Equation
- Time-Independent Schrödinger Equation
- Physical Significance of the Wave Function
- Eigenvalues and Eigenfunctions
- Boundary Conditions
Unit 4: Quantum Operators and Observables
- Operators in Quantum Mechanics
- Commutation Relations
- Expectation Values
- Hermitian Operators
- Measurement and Uncertainty Principle
Unit 5: One-Dimensional Quantum Systems
- Particle in an Infinite Potential Well
- Finite Potential Well
- Potential Step
- Reflection and Transmission at a Potential Barrier
- Quantum Tunnelling and Its Interpretation
- Applications of Tunnelling (STM, α-decay)
Unit 6: Quantum Dynamics and Approximation Techniques
- Stationary and Non-Stationary States
- Expectation Values and Time Evolution
- Time-Independent Perturbation Theory
- Degenerate Perturbation Theory
- Variational Method
- Comparison of Approximation Methods
Unit 7: Quantum Theory of Atoms, Radiation, and Modern Applications
- Hydrogen Atom: Radial and Angular Solutions
- Quantum Numbers and Their Significance
- Electron Spin and Magnetic Moment
- Interaction of Radiation with Matter
- Einstein Coefficients
- Applications of Quantum Mechanics
- Conclusion
Unit 8: References
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