Modern Physics: Introduction to Statistical Mechanics, Relativity, and Quantum Physics

This book provides an introduction to statistical mechanics, special relativity, and quantum physics, based on lecture notes for a university course. It covers classical statistical mechanics, special relativity, light quantization, the Schrodinger equation, quantum mechanics, atomic physics, and quantum statistical mechanics. The appendices offer mathematical aid.

Format: Hardback
Length: 194 pages
Publication date: 18 February 2022
Publisher: Springer Nature Switzerland AG

This comprehensive book provides an in-depth introduction to statistical mechanics, special relativity, and quantum physics. Drawing from the lecture notes crafted for a one-semester course on Quantum Physics within the Bachelor of Science in Material Sciences program at the University of Padova, it offers a thorough exploration of these fundamental scientific disciplines.

The first chapter serves as a concise review of classical statistical mechanics, tracing its origins back to the pioneering contributions of James Clerk Maxwell, Ludwig Boltzmann, Willard Gibbs, and other notable figures. It delves into the principles governing the behavior of particles in large systems, highlighting the key concepts such as probability distributions, thermodynamics, and entropy.

The second chapter delves into the realm of special relativity, shedding light on Albert Einstein's groundbreaking theories. It explores the concept of spacetime, the speed of light, and the relativistic effects observed in the universe. The chapter also discusses the famous equation E = mc^2, which demonstrates the relationship between energy and mass.

In the third chapter, the historical development of light quantization is examined. Max Planck and Albert Einstein's contributions to this field are explored, as well as the mathematical framework developed to describe the behavior of light particles. The chapter discusses the concept of photons, their properties, and the role they play in the transmission of electromagnetic radiation.

The fourth chapter delves into the quantization of energy levels and the associated electromagnetic transitions. It discusses the principles of the Bohr model, which explains the structure of atoms and their energy levels. The chapter also explores the concept of quantum mechanics, which provides a more comprehensive understanding of the behavior of particles at the atomic and subatomic levels.

The fifth chapter explores the Schrodinger equation, a fundamental equation in quantum mechanics that describes the behavior of particles. It was derived by Erwin Schrodinger from the idea of Louis De Broglie, which associates each particle with a quantum wavelength. The chapter discusses the mathematical properties of the Schrodinger equation and its applications in understanding the behavior of particles in various contexts.

Chapter Six delves into the basic axioms of quantum mechanics, which were formulated by Paul Dirac and John von Neumann in their seminal books. It provides a foundational understanding of the principles and principles that govern the behavior of particles in the quantum realm.

Chapter Seven explores several important applications of quantum mechanics, including the quantum particle in a box, the quantum particle in a harmonic potential, the quantum tunneling, the stationary perturbation theory, and the time-dependent perturbation theory. These applications demonstrate the practical implications and real-world applications of quantum mechanics in various fields, such as physics, chemistry, and engineering.

Chapter Eight focuses on the study of quantum atomic physics, with a special emphasis on the spin of the electron. It requires the Dirac equation for a rigorous theoretical justification. The chapter discusses the properties of electrons, their spin, and their interactions with other particles, including photons and nuclei. It also explores the concept of quantum electrodynamics, which describes the interactions between electrons and electromagnetic fields.

In Chapter Nine, the quantum mechanics of many identical particles at zero temperature is explored. The chapter discusses the behavior of particles in a thermal equilibrium. It introduces the concept of Bose-Einstein statistics, which describes the behavior of particles in a Bose-Einstein condensate, a state of matter in which particles behave in a collective manner.

Chapter Ten extends the discussion to many quantum particles at finite temperature by introducing and using the quantum statistical mechanics. It discusses the behavior of particles in a thermal bath, a system in which particles interact with each other through thermal vibrations. The chapter also explores the concept of phase transitions, which occur when the system changes its state from one to another as a function of temperature.

The book concludes with four appendices that provide additional information and clarification on various topics covered in the text. Appendix A discusses the history of quantum mechanics, including the contributions of various scientists and mathematicians throughout its development. Appendix B provides a glossary of key terms. Appendix C offers solutions to selected problems. And finally, Appendix D offers an index of symbols and units.

In summary, this comprehensive book offers an invaluable introduction to statistical mechanics, special relativity, and quantum physics. It provides a thorough exploration of these fundamental scientific disciplines, drawing from the lecture notes crafted for a one-semester course at the University of Padova. The book is suitable for students, researchers, and enthusiasts alike, providing a solid foundation in these subjects and paving the way
This comprehensive book offers an invaluable introduction to statistical mechanics, special relativity, and quantum physics. It provides a thorough exploration of these fundamental scientific disciplines, drawing from the lecture notes crafted for a one-semester course at the University of Padova. The book is suitable for students, researchers, and enthusiasts alike, providing a solid foundation in these subjects and paving the way

way for further study and exploration. With its clear and concise writing style, extensive explanations, and numerous examples, this book is an essential resource for anyone interested in delving into the world of quantum mechanics, special relativity, and quantum physics. Whether you are a student, researcher, or simply a curious mind, this book will help you gain a deeper understanding of these complex and fascinating subjects.

Weight: 477g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030937423
Edition number: 1st ed. 2022