QUANTUM PHYSICS AND EMERGING TECHNOLOGIES

By Prof. P K SARASWAT

PAPER BACK ISBN : 978-93-49381-20-9

DATE : 2026

PAGES : 1-229

EDITIONS : 01

LANGUAGE : English

DOI : https://doi.org/10.52458/9789349381209.nsp.2026.tb

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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.

Sr. No.

Title

Page No.

UNIT I: FOUNDATIONS OF QUANTUM PHYSICS

Ch- 01

INTRODUCTION OF QUANTUM PHYSICS

1.1 INTRODUCTION

1.2 NATURE OF QUANTUM PHYSICS

1.3 SCOPE OF QUANTUM PHYSICS

2-10

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

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

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

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

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

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

UNIT II: QUANTUM MECHANICS BASICS

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

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

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

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

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

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

UNIT III: QUANTUM THEORY OF MATTER & MATERIALS

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

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

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 (m)

16.2.4 Spin Quantum Number (m)

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

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

SELF-REVIEW QUESTIONS SUGGESTED READINGS & REFERENCES

216-217

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.