Quantum Mechanics I: The Fundamentals / Quantum Mechanics II: Advanced Topics

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.

The text addresses many topics not typically found in books at this level, including:

Bound state solutions of quantum pendulum
Pöschl–Teller potential
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
Hydrogen atom in D-dimension
Alternate perturbation theories
An asymptotic method for slowly varying potentials
Klein paradox, Einstein-Podolsky-Rosen (EPR) paradox, and Bell’s theorem
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.

Quantum Mechanics II: Advanced Topics

uses more than a decade of research and the authors’ own teaching experience to expound on some of the more advanced topics and current research in quantum mechanics. A follow-up to the authors introductory book Quantum Mechanics I: The Fundamentals, this book begins with a chapter on quantum field theory, and goes on to present basic principles, key features, and applications. It outlines recent quantum technologies and phenomena, and introduces growing topics of interest in quantum mechanics. The authors describe promising applications that include ghost imaging, detection of weak amplitude objects, entangled two-photon microscopy, detection of small displacements, lithography, metrology, and teleportation of optical images. They also present worked-out examples and provide numerous problems at the end of each chapter.

Establishes a Need for the Quantum Field Theory
Consisting of ten chapters, this illuminating text:

Covers the basic ideas of both classical and quantum field theories
Highlights path integral formalism, supersymmetric quantum mechanics, coherent and squeezed states, Berry's phase, Aharonov-Bohm and Sagnac effects, and Wigner function
Addresses basic principles, salient features, and applications
Describes basic concepts of quantum computers, some of the quantum algorithms, and features of quantum computation
Explores advances made in the field of quantum cryptography
Provides a brief and compact introduction to topics of growing interest including quantum versions of theory of gravity, Zeno effect, teleportation, games, cloning, diffusion, and chaos
Focuses on the theoretical aspects of various advanced topics
Outlines some of the quantum technologies and/or technological applications of quantum phenomena
Presents the basic principles and salient features of ghost imaging, detection of weak amplitude object and small displacements, entangled two-photon microscopy, quantum lithography, metrology, and teleportation of optical images
Contains several worked-out problems at the end of each chapter
Includes material that can be covered in an advanced course on quantum mechanics

Quantum Mechanics II: Advanced Topics
addresses the basic principles and current research on various topics in quantum mechanics, and is a valuable resource for advanced undergraduate and graduate students in physics, chemistry, and engineering with an interest in quantum mechanics.