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: Paperback / softback
Length: 194 pages
Publication date: 19 February 2023
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 encompasses key concepts such as probability distributions, thermodynamic principles, and the Maxwell-Boltzmann distribution.

The second chapter delves into the realm of special relativity, shedding light on Albert Einstein's groundbreaking theories and concepts. It explores the principles of time and space, the speed of light, and the effects of gravity on the fabric of the universe. The chapter also discusses the concept of relativistic energy and mass, as well as the famous equation E = mc^2.

In the third chapter, the historical development of light quantization is examined. Max Planck and Albert Einstein's pioneering work led to the understanding that light can be viewed as particles, each with a specific energy. This chapter explores the mathematical framework and principles that underpin this quantization process.

The fourth chapter delves into the quantization of energy levels and the associated electromagnetic transitions. It discusses the principles of the hydrogen atom, the Bohr model, and the concept of quantum numbers. The chapter also explores the role of electron spins and their relationship to the Schrodinger equation, which is central to quantum mechanics.

Chapter Five explores the Schrodinger equation, which was derived from the idea of Louis De Broglie and associates each particle with a quantum wavelength. It discusses the mathematical properties of the equation and its applications to understanding the behavior of particles in various contexts.

Chapter Six introduces the fundamental axioms of quantum mechanics, formulated by Paul Dirac and John von Neumann in their seminal works. It explores the principles of wave-particle duality, uncertainty principle, and the Copenhagen interpretation of quantum mechanics. The chapter also discusses the role.

Chapter Seven presents several important applications of quantum mechanics. It explores the behavior of quantum particles in a box, the quantum particle in a harmonic potential, quantum tunneling, stationary perturbation theory, and time-dependent perturbation theory. These applications provide practical insights into the practical applications of quantum mechanics in various fields.

Chapter Eight focuses on quantum atomic physics, with a special emphasis on the spin of the electron. It discusses the Dirac equation, which is necessary for a rigorous theoretical justification of electron spin. The chapter also explores the quantum mechanics of many identical particles at zero temperature and the introduction of quantum statistical mechanics to account for finite temperature effects.

Chapter Nine delves into the quantum mechanics of many identical particles at zero temperature. It explores the principles of superposition, interference, and entanglement, which are fundamental to the understanding of quantum systems. The chapter also discusses the application of quantum mechanics to the study of quantum computing and information processing.

Chapter Ten extends the discussion to many quantum particles at finite temperature by introducing and utilizing the principles of quantum statistical mechanics. It explores the behavior of particles in a thermal bath, the concept of phase space, and the application of statistical mechanics to describe the behavior of complex systems.

The book concludes with four appendices that provide additional information and clarification on various topics. Appendix A discusses the history of quantum mechanics, including the contributions of key figures. Appendix B provides a glossary of key terms and concepts used in the book. Appendix C offers solutions to selected problems, and Appendix D offers an extensive bibliography for further reading.

In summary, this comprehensive book offers a thorough introduction to statistical mechanics, special relativity, and quantum physics. It is ideal for students, researchers, and enthusiasts seeking to deepen their understanding of these fundamental scientific disciplines. With its clear and concise explanations, extensive examples, and comprehensive appendices, it provides a valuable resource for anyone interested in exploring the wonders of the quantum world.

Weight: 330g
Dimension: 155 x 234 x 15 (mm)
ISBN-13: 9783030937454
Edition number: 1st ed. 2022