Quantum physics represents one of the most revolutionary developments in modern science, fundamentally transforming our understanding of matter, energy, and the universe at the microscopic level. Unlike classical physics, which describes the macroscopic world with deterministic laws, quantum physics introduces a probabilistic framework that governs the behavior of particles at atomic and subatomic scales.
This book, Quantum Physics and Emerging Technologies, is designed to provide a comprehensive and structured understanding of quantum theory, starting from the basic atomic models to the advanced concepts of quantum mechanics. It also highlights the role of quantum principles in shaping modern technological innovations such as semiconductors, lasers, quantum computing, nanotechnology, and advanced communication systems.
The content is systematically organized to help students, researchers, and academicians build a strong conceptual foundation. Each chapter includes clear explanations, mathematical formulations, and real-world applications to bridge the gap between theory and practice. Special emphasis is given to emerging technologies that are transforming industries and scientific research worldwide.
The objective of this book is not only to explain quantum physics but also to inspire curiosity and innovation in the field of modern science. It serves as a valuable resource for undergraduate and postgraduate students, as well as researchers exploring advanced scientific domains.
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Page No. |
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UNIT I: FOUNDATIONS OF QUANTUM PHYSICS |
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Ch- 01 |
INTRODUCTION OF QUANTUM PHYSICS 1.1 INTRODUCTION 1.2 NATURE OF QUANTUM PHYSICS 1.3 SCOPE OF QUANTUM PHYSICS |
2-10 |
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Ch- 02 |
FAILURES OF CLASSICAL PHYSICS (BLACKBODY RADIATION PROBLEM) - PART I 2.1 INTRODUCTION 2.2 MAJOR FAILURES OF CLASSICAL PHYSICS 2.2.1 Blackbody Radiation Problem 2.2.1.1 Concept of Blackbody 2.2.1.2 Definition 2.2.1.3 Why is it called a “Blackbody”? 2.2.1.3.1 Physical Realization 2.2.1.3.2 Radiation Emission 2.2.1.4 Properties of Blackbody 2.2.1.5 Importance in Physics (Blackbody Radiation) 2.2.1.6 Real-life Examples (Approximation) 2.2.1.7 Classical Prediction Failure |
11-18 |
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Ch- 03 |
FAILURES OF CLASSICAL PHYSICS (PHOTOELECTRIC EFFECT) -PART II 3.1 INTRODUCTION- PHOTOELECTRIC EFFECT 3.1.1 Definition of Photoelectric Effect 3.2 EXPERIMENTAL OBSERVATIONS OF PHOTOELECTRIC EFFECT 3.2.1 Instantaneous Emission of Electrons 3.2.2 Existence of Threshold Frequency 3.2.3 Kinetic Energy Depends on Frequency 3.2.4 Number of Electrons Depends on Intensity 3.3 FAILURE OF CLASSICAL WAVE THEORY 3.3.1 Predictions of Classical Theory 3.3.2 Einstein's Photon Theory 3.3.3 Laws of Photoelectric Emission 3.4 APPLICATIONS OF THE PHOTOELECTRIC EFFECT 3.5 SIGNIFICANCE OF THE PHOTOELECTRIC EFFECT |
19-36 |
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Ch- 04 |
FAILURES OF CLASSICAL PHYSICS (ATOMIC STABILITY PROBLEM) -PART III 4.1 INTRODUCTION- ATOMIC STABILITY PROBLEM 4.1.1 Definitions by Authors 4.2 CLASSICAL PREDICTION OF ATOMIC STABILITY PROBLEM 4.2.1 Significance of the Problem |
37-44 |
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Ch- 05 |
FAILURES OF CLASSICAL PHYSICS (SPECIFIC HEAT OF SOLIDS) -PART IV 5.1 INTRODUCTION – SPECIFIC HEAT OF SOLIDS 5.2 CLASSICAL LAW: DULONG-PETIT LAW 5.3CLASSICAL THEORY – FAILURE TO EXPLAIN TEMPERATURE DEPENDENCE 5.4 SIGNIFICANCE OF THE SPECIFIC HEAT PROBLEM |
45-56 |
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Ch- 06 |
WAVE–PARTICLE DUALITY 6.1 INTRODUCTION 6.2 DUAL NATURE OF RADIATION (LIGHT) 6.2.1 Wave Nature of Light 6.2.2 Particle Nature of Light (Photon Concept) 6.3 DUAL NATURE OF MATTER (DE BROGLIE HYPOTHESIS) 6.3.1 De Broglie Equation 6.4 EXPERIMENTAL EVIDENCE FOR MATTER WAVES 6.5 ELECTRON BEHAVIOR: DUAL NATURE 6.5.1 Comparison of Wave and Particle Nature |
57-67 |
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Ch- 07 |
HEISENBERG UNCERTAINTY PRINCIPLE 7.1 INTRODUCTION- HEISENBERG UNCERTAINTY PRINCIPLE 7.2 STATEMENT OF HEISENBERG UNCERTAINTY PRINCIPLE 7.3 MATHEMATICAL FORMULATION 7.4 PHYSICAL MEANING OF THE PRINCIPLE 7.5 WHY UNCERTAINTY EXISTS 7.6 APPLICATIONS AND IMPORTANCE OF HEISENBERG UNCERTAINTY PRINCIPLE |
68-76 |
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UNIT II: QUANTUM MECHANICS BASICS |
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Ch- 08 |
WAVE FUNCTION AND ITS PHYSICAL INTERPRETATION 8.1 INTRODUCTION 8.2 WAVE FUNCTION (Ψ) 8.2.1 Definition of Wave Function 8.2.2 Meaning of Probability Amplitude 8.3 NATURE OF WAVE FUNCTION 8.4 PROBABILITY INTERPRETATION (BORN’S INTERPRETATION) 8.5 PHYSICAL INTERPRETATION OF WAVE FUNCTION 8.6 MAJOR PROPERTIES OF WAVE FUNCTION 8.7 IMPORTANCE OF WAVE FUNCTION |
78-86 |
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Ch- 09 |
SCHRÖDINGER EQUATION (TIME-DEPENDENT AND TIME-INDEPENDENT) 9.1 INTRODUCTION 9.2 IMPORTANCE OF SCHRÖDINGER EQUATION 9.3 WAVE FUNCTION AND SCHRÖDINGER EQUATION 9.4 TIME-DEPENDENT SCHRÖDINGER EQUATION (TDSE) 9.5 HAMILTONIAN OPERATOR (Ĥ) 9.6 TIME-INDEPENDENT SCHRÖDINGER EQUATION (TISE) 9.7 APPLICATIONS OF SCHRÖDINGER EQUATION 9.8 DIFFERENCES: TIME-DEPENDENT VS TIME-INDEPENDENT |
87-95 |
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Ch- 10 |
OPERATORS AND OBSERVABLES & EXPECTATION VALUES 10.1 INTRODUCTION 10.2 OPERATORS IN QUANTUM MECHANICS 10.2.1 Linear Operators 10.2.2 Hermitian Operators (Very Important) 10.2.3 Eigenvalues and Eigenfunctions 10.3 PHYSICAL OBSERVABLES 10.4 EXPECTATION VALUE 10.4.1 Expectation Value of Position 10.4.2 Expectation Value of Momentum 10.4.3 Expectation Value of Energy 10.5 PROPERTIES OF EXPECTATION VALUES 10.6 NORMALIZATION AND EXPECTATION VALUES 10.7 PHYSICAL MEANING OF OPERATORS AND EXPECTATION VALUES 10.8 COMMUTATORS AND SIMULTANEOUS OBSERVABILITY 10.8.1 Definition of Commutator 10.8.2 Physical Meaning of Commutator 10.8.3 Important Result: Simultaneous Observability 10.8.4 Mathematical Interpretation (Eigenstate View) 10.8.5 Most Important Example: Position and Momentum 10.8.6 Consequence: Heisenberg Uncertainty Principle 10.8.7 Why does non-commutation cause uncertainty? 10.8.8 Another Important Example (Angular Momentum) |
96-106 |
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Ch- 11 |
PARTICLE IN A BOX (1D AND 3D) 11.1 INTRODUCTION 11.2 ASSUMPTIONS OF THE PARTICLE IN A BOX MODEL 11.3 ONE-DIMENSIONAL INFINITE POTENTIAL WELL 11.3.1 Schrödinger Equation for the Box 11.3.2 Boundary Conditions 11.4 QUANTIZED ENERGY LEVELS 11.4.1 Normalization of Wave Function 11.4.2 Probability Density 11.5 ZERO-POINT ENERGY 11.5.1 Significance of Zero-Point Energy 11.5.2 One-Dimensional Energy Level Diagram 11.6 THREE-DIMENSIONAL INFINITE POTENTIAL BOX 11.6.1 Schrödinger Equation in Three Dimensions 11.6.2 Energy of a Particle in a Three-Dimensional Box 11.7 CUBICAL BOX 11.8 DEGENERACY 11.9 APPLICATIONS OF PARTICLE IN A BOX 11.10 ADVANTAGES OF THE PARTICLE-IN-A-BOX MODEL 11.11 LIMITATIONS OF THE PARTICLE-IN-A-BOX MODEL 11.12 COMPARISON BETWEEN 1D AND 3D BOXES |
107-126 |
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Ch- 12 |
QUANTUM TUNNELING 12.1 INTRODUCTION 12.1.1 Historical Background 12.2 CLASSICAL AND QUANTUM VIEW OF A POTENTIAL BARRIER 12.2.1 Potential Barrier 12.3 ASSUMPTIONS OF QUANTUM TUNNELING 12.3.1 Schrödinger Equation in Different Regions 12.4 PHYSICAL MEANING OF THE WAVE FUNCTION 12.4.1Transmission Coefficient 12.4.2 Factors Affecting Transmission (Quantum Tunneling) 12.4.3 Reflection Coefficient 12.4.4 Penetration Depth |
127-142 |
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Ch- 13 |
CONDITIONS FOR QUANTUM TUNNELING 13.1 INTRODUCTION 13.2 CONDITIONS FOR QUANTUM TUNNELING 13.3 QUANTUM TUNNELING PROBABILITY 13.3.1 Alpha Decay 13.3.2 Nuclear Fusion 13.4 SCANNING TUNNELING MICROSCOPE (STM) 13.4.1 Tunnel Diode 13.4.1.1 Features of Tunnel Diode 13.4.1.2 Applications of Tunnel Diode 13.4.2 Josephson Effect |
143-160 |
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UNIT III: QUANTUM THEORY OF MATTER & MATERIALS |
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Ch- 14 |
ATOMIC MODELS AND QUANTUM NUMBERS 14.1 INTRODUCTION TO ATOMIC STRUCTURE 14.2 THOMSON’S ATOMIC MODEL 14.3 RUTHERFORD’S NUCLEAR MODEL 14.3.1 Gold Foil Experiment 14.3.2 Rutherford’s Model Observations 14.3.3 Limitations of Rutherford’s Model 14.4 BOHR’S ATOMIC MODEL (QUANTUM MODEL) 14.4.1 Postulates of Bohr’s Theory 14.4.2 Merits of Bohr’s Model 14.4.3 Limitations of Bohr’s Model |
162-169 |
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Ch- 15 |
INTRODUCTION TO QUANTUM MECHANICAL MODEL 15.1 INTRODUCTION 15.2 DE BROGLIE HYPOTHESIS 1.2.1 Statement of de Broglie Hypothesis 15.2.2 Physical Significance 15.2.3 Importance and Limitations of de Broglie Hypothesis 15.3 HEISENBERG UNCERTAINTY PRINCIPLE 15.3.1 Statement of Heisenberg Uncertainty Principle 15.3.2 Implications of the Uncertainty Principle |
170-176 |
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Ch- 16 |
QUANTUM NUMBERS 16.1 INTRODUCTION 16.2 QUANTUM NUMBERS 16.2.1 Principal Quantum Number (n) 16.2.2 Azimuthal Quantum Number (l) 16.2.3 Magnetic Quantum Number (mₗ) 16.2.4 Spin Quantum Number (mₛ) 16.3 PAULI EXCLUSION PRINCIPLE 16.4 AUFBAU PRINCIPLE 16.5 HUND’S RULE OF MAXIMUM MULTIPLICITY 16.6 ORBITAL CONCEPT 16.7 IMPORTANCE OF QUANTUM NUMBERS 16.7.1 Define Electron Configuration 16.7.2 Explain Periodic Table Structure 16.7.3 Predict Chemical Bonding 16.7.4 Explain Atomic Spectra |
177-190 |
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Ch- 17 |
HYDROGEN ATOM SOLUTIONS 17.1 INTRODUCTION 17.2 HISTORICAL BACKGROUND 17.3 STRUCTURE OF HYDROGEN ATOM 17.3.1 Schrödinger Equation for Hydrogen Atom 17.3.2 Separation of Variables 17.3.3 Azimuthal Solution 17.3.4 Angular Solution 17.3.5 Radial Equation 17.3.6 Energy Eigenvalues 17.3.7 Energy Levels of the Hydrogen Atom 17.4 HYDROGEN ATOM ORBITALS 17.4.1 Hydrogen Spectrum 17.4.2 Spectral Series of Hydrogen Atom 17.4.3 Ground State Wave Function 17.4.4 Excited States 17.4.5 Selection Rules 17.5 APPLICATIONS OF HYDROGEN ATOM SOLUTIONS 17.6 ADVANTAGES OF HYDROGEN ATOM SOLUTIONS |
191-215 |
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SELF-REVIEW QUESTIONS SUGGESTED READINGS & REFERENCES |
216-217 |
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Prof. Praveen Kumar Saraswat is serving as the Principal of the Institute of Oriental Philosophy, Vrindavan, Mathura (Uttar Pradesh), affiliated with Dr. Bhim Rao Ambedkar University, Agra. He earned his B.Sc., M.Sc., and Ph.D. degrees from the same university in 1988, 1990, and 1998, respectively, specializing in Condensed Matter Physics. With over 35 years of teaching experience at the undergraduate and postgraduate levels, more than 25 years of research experience, and over four years of administrative experience as Principal, he has made significant contributions to higher education. Under his supervision, six Ph.D. scholars from Dr. Bhim Rao Ambedkar University, Agra and two M.Phil. scholars from Periyar University have successfully completed their research.
Prof. Saraswat has published 16 research papers in refereed journals, presented 11 papers at national and international conferences, delivered two keynote/invited lectures, secured three national/international patents, and authored or edited ten books. He has also participated in nine faculty development and training programmes.
He currently serves as District Coordinator (Jila Prabandhak) for competitive examinations conducted by the UP Police Recruitment and Promotion Board and the Uttar Pradesh Education Service Selection Commission. He is also a Research Supervisor at Periyar University and Venkateshwara University, a Guest Faculty at Apex University, and a Member of the Research Degree Committee (RDC) at Banasthali Vidyapith. He holds life memberships in the Indian Association for the Cultivation of Science, the Soft Materials Research Society, and the Indian Science Congress Association. His distinguished contributions to teaching, research, academic leadership, and educational administration continue to enrich higher education and scientific research in India.