Quantum Mechanics I: The Fundamentals

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.

Format: Hardback
Length: 586 pages
Publication date: 28 November 2022
Publisher: Taylor & Francis Ltd

Quantum Mechanics I: The Fundamentals delves into the intricate behavior of matter and energy at the molecular, atomic, nuclear, and sub-nuclear levels, offering a comprehensive graduate-level exploration. This extensively revised and updated edition encompasses a wide range of topics that are often overlooked in books at this level, including:

Bound State Solutions of Quantum Pendulum: Analyzing the motion of a quantum pendulum, this section explores the solutions that arise when the system is in a bound state. It discusses the mathematical formalism and applications related to this phenomenon.

Morse Oscillator: Delving into the dynamics of a Morse oscillator, this section examines the solutions that describe the oscillatory behavior of the system. It explores the mathematical formalism and applications related to this system.

Solutions of Classical Counterpart of Quantum Mechanical Systems: This section explores the solutions of classical counterparts of quantum mechanical systems, providing insights into the behavior of classical systems in the presence of quantum effects.

A Criterion for Bound State: Discussing the criteria for bound states in quantum mechanics, this section examines the conditions that determine whether a particle can exist in a stable state. It discusses the mathematical formalism and applications related to this criterion.

Scattering from a Locally Periodic Potential and Reflection-Less Potential: Analyzing the scattering of particles from a locally periodic potential and a reflection-less potential, this section explores the mathematical formalism and applications related to these phenomena.

Modified Heisenberg Relation: Exploring the modified Heisenberg relation, this section examines the relationship between the position and momentum of a particle in quantum mechanics. It discusses the mathematical formalism and applications related to this relation.

Wave Packet Revival and Its Dynamics: Analyzing the revival of wave packets in quantum mechanics, this section explores the dynamics and behavior of these packets. It discusses the mathematical formalism and applications related to this phenomenon.

An Asymptotic Method for Slowly Varying Potentials: Discussing an asymptotic method for solving problems involving slowly varying potentials, this section provides a mathematical framework for analyzing these types of problems. It discusses the mathematical formalism and applications related to this method.

Klein Paradox, Einstein-Podolsky-Rosen (EPR) Paradox, and Bells Theorem: Exploring the paradoxes and theorems associated with quantum mechanics, this section examines the controversial aspects of quantum physics. It discusses the mathematical formalism and applications related to these phenomena.

Delayed-Choice Experiments: Analyzing the concept of delayed-choice experiments in quantum mechanics, this section explores the behavior of particles when their state is observed after a certain delay. It discusses the mathematical formalism and applications related to this phenomenon.

Fractional Quantum Mechanics: Introducing the concept of fractional quantum mechanics, this section explores the mathematical formalism and applications related to this field. It discusses the theoretical foundations and practical implications of fractional quantum mechanics.

Numerical Methods for Quantum Systems: Discussing numerical methods for solving quantum mechanical problems, this section provides a comprehensive overview of various computational techniques used in quantum mechanics. It discusses the mathematical formalism and applications related to these methods.

A collection of problems at the end of each chapter further develops 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, serves as a comprehensive and up-to-date introduction to quantum mechanics.

Print versions of this book also offer access to the ebook version, providing convenience and flexibility to students. Whether you are a graduate student, researcher, or enthusiast, Quantum Mechanics I: The Fundamentals provides a deep and comprehensive understanding of the fundamental principles of quantum mechanics, enabling you to explore the intricate behavior of matter and energy at the microscopic level.

Weight: 1272g
Dimension: 184 x 260 x 42 (mm)
ISBN-13: 9780367769987
Edition number: 2 ed