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 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. 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
authors' 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
this unique volume presents an in-depth and up-to-date progress on
the growing topics including latest achievements on quantum
technology. In the second edition six new chapters are included and
the other ten chapters are extensively revised. Features Covers
classical and quantum field theories, path integral formalism and
supersymmetric quantum mechanics. Highlights coherent and squeezed
states, Berry's phase, Aharonov-Bohm effect and Wigner function.
Explores salient features of quantum entanglement and quantum
cryptography. Presents basic concepts of quantum computers and the
features of no-cloning theorem and quantum cloning machines.
Describes the theory and techniques of quantum tomography, quantum
simulation and quantum error correction. Introduces other novel
topics including quantum versions of theory of gravity, cosmology,
Zeno effect, teleportation, games, chaos and steering. Outlines the
quantum technologies of ghost imaging, detection of weak amplitudes
and displacements, lithography, metrology, teleportation of optical
images, sensors, batteries and internet. Contains several
worked-out problems and exercises in each chapter. Quantum
Mechanics II: Advanced Topics addresses various currently emerging
exciting topics of quantum mechanics. It emphasizes the
fundamentals behind the latest cutting-edge developments to help
explain the motivation for deeper exploration. The book is a
valuable resource for graduate students in physics and engineering
wishing to pursue research in quantum mechanics.
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