Quantum Mechanics: Two Vol Set

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. This fully updated new edition addresses many topics not typically found in books at this level, including bound state solutions of quantum pendulums, Morse oscillators, solutions of classical counterpart of quantum mechanical systems, a criterion for bound states, 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 Bells theorem. 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.

Format: Mixed media product
Length: 1048 pages
Publication date: 24 November 2022
Publisher: Taylor & Francis Ltd

Quantum Mechanics I: The Fundamentals delves into a comprehensive graduate-level exploration of the behavior of matter and energy at molecular, atomic, nuclear, and sub-nuclear levels. It encompasses fundamental concepts, mathematical formalism, and applications to physically significant systems. This extensively revised and updated new edition addresses numerous topics that are often overlooked in books at this level, including:

Bound State Solutions of Quantum Pendulum: This section explores the mathematical formalism and solutions for the quantum pendulum, a classic system that exhibits intriguing behavior.

Morse Oscillator: It delves into the mathematical formalism and solutions for the Morse oscillator, a model that represents the motion of a particle in a potential well.

Solutions of Classical Counterpart of Quantum Mechanical Systems: This section discusses the classical counterpart of quantum mechanical systems and provides insights into their behavior and solutions.

A Criterion for Bound State: It presents a criterion for determining the existence of bound states in quantum systems, which is crucial for understanding their behavior.

Scattering from a Locally Periodic Potential and Reflection-Less Potential: This section explores the scattering of particles from potentials that exhibit local periodicities, including the calculation of scattering cross sections and the study of reflectionless potentials.

Modified Heisenberg Relation: It introduces the modified Heisenberg relation, which describes the relationship between the position and momentum of a particle in quantum mechanics.

Wave Packet Revival and Its Dynamics: This section discusses the revival of wave packets in quantum systems, a phenomenon that plays a significant role in many physical processes.

An Asymptotic Method for Slowly Varying Potentials: It presents an asymptotic method for solving problems involving slowly varying potentials, which are important in various applications.

Klein Paradox, Einstein-Podolsky-Rosen (EPR) Paradox, and Bells Theorem: These topics explore the paradoxes and theorems associated with quantum mechanics, including the famous EPR paradox and the Bell theorem.

Delayed-Choice Experiments: This section discusses the concept of delayed-choice experiments and their implications for the nature of reality and the measurement process.

Fractional Quantum Mechanics: It introduces the concept of fractional quantum mechanics, which describes the behavior of particles at the quantum scale in terms of fractional numbers.

Numerical Methods for Quantum Systems: This section discusses numerical methods for solving quantum systems, which are essential for modeling and simulating complex quantum systems.

A Collection of Problems at the End of Each Chapter: Each chapter concludes with a collection of problems designed to develop students' understanding of both basic concepts and the application of theory to various physically important systems.

This book, in conjunction with the author's follow-up Quantum Mechanics II: Advanced Topics, provides students with a comprehensive and up-to-date introduction to quantum mechanics.

Quantum Mechanics II: Advanced Topics offers a comprehensive exploration of the state-of-the-art in various advanced topics of current research interest. A follow-up to the author's introductory book Quantum Mechanics I: The Fundamentals, this book expounds basic principles, theoretical treatment, case studies, worked-out examples, and applications of advanced topics, including quantum technologies.

A thoroughly revised and updated edition, this unique volume presents an in-depth and up-to-date progress on the growing topics, including the latest achievements on quantum technologies.

Weight: 2100g
Dimension: 254 x 178 (mm)
ISBN-13: 9781032357973
Edition number: 2 ed