Название: Quantum Mechanics I: The Fundamentals, 2nd Edition
Автор: S. Rajasekar, R. Velusamy
Издательство: CRC Press
Год: 2023
Страниц: 606
Язык: английский
Формат: pdf (true)
Размер: 22.1 MB

Quantum Mechanics I: The Fundamentals provides a graduate-level account of the behavior of matter and energy at the molecular, atomic, nuclear, and sub-nuclear levels. It covers basic concepts, mathematical formalism, and applications to physically important systems.

Quantum mechanics is the study of the behaviour of matter and energy at the molecular, atomic, nuclear levels and even at sub-nuclear level. This book is intended to provide a broad introduction to fundamental and advanced topics of quantum mechanics. Volume I is devoted to basic concepts, mathematical formalism and application to physically important systems. Volume II covers most of the advanced topics of current research interest in quantum mechanics. Both the volumes are primarily developed as texts at the graduate level and also as reference books. In addition to worked-out examples, numerous collection of exercises are included at the end of each chapter. Solutions are available to confirmed instructors upon request to the publisher. Some of the exercises serve as a mode of understanding and highlighting the significances of basic concepts while others form application of theory to various physically important systems/problems. Developments made in recent years on various mathematical treatments, theoretical methods, their applications and experimental observations are pointed out wherever necessary and possible and moreover they are quoted with references so that readers can refer them for more details.

Volume I consists of 23 chapters and 7 appendices. Chapter 1 summarizes the needs for the quantum theory and its early development (old quantum theory). Chapters 2 and 3 provide the basic mathematical framework of quantum mechanics. Schr¨odinger wave mechanics and operator formalism are introduced in these chapters. Chapters 4 and 5 are concerned with the analytical solutions of bound states and scattering states, respectively, of certain physically important microscopic systems. The basics of matrix mechanics, Dirac’s notation of state vectors and Hilbert space are elucidated in chapter 6...

This fully updated new edition addresses many topics not typically found in books at this level, including:

Bound state solutions of quantum pendulum
Morse oscillator
Solutions of classical counterpart of quantum mechanical systems
A criterion for bound state
Scattering from a locally periodic potential and reflection-less potential
Modified Heisenberg relation
Wave packet revival and its dynamics
An asymptotic method for slowly varying potentials
Klein paradox, Einstein-Podolsky-Rosen (EPR) paradox, and Bell’s theorem
Delayed-choice experiments
Fractional quantum mechanics
Numerical methods for quantum systems

A collection of problems at the end of each chapter develops students’ understanding of both basic concepts and the application of theory to various physically important systems. This book, along with the authors’ follow-up Quantum Mechanics II: Advanced Topics, provides students with a broad, up-to-date introduction to quantum mechanics.