- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
Full Description
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.
Contents
Volume I: 1. Why Was Quantum Mechanics Developed? 2. Schrödinger Equation and Wave Function. 3. Operators, Eigenvalues and Eigenfunctions. 4. Exactly Solvable Systems I: Bound States. 5. Exactly Solvable Systems II: Scattering States. 6. Matrix Mechanics. 7. Various Pictures in Quantum Mechanics and Density Matrix. 8. Heisenberg Uncertainty Principle. 9. Momentum Representation. 10. Wave Packet. 11. Theory of Angular Momentum. 12. Hydrogen Atom. 13. Approximation Methods I: Time-Independent Perturbation Theory. 14. Approximation Methods II: Time-Dependent Perturbation Theory. 15. Approximation Methods III: WKB and Asymptotic Methods. 16. Approximation Methods IV: Variational Method. 17. Scattering Theory. 18. Identical Particles. 19. Relativistic Quantum Theory. 20. Mysteries in Quantum Mechanics. 21. Delayed-Choice Experiments. 22. Fractional Quantum Mechanics. 23. Numerical Methods for Quantum Mechanics. Appendices. Index.
Volume II: 1. Quantum Field Theory. 2. Path Integral Formulation. 3. Supersymmetric Quantum Mechanics. 4. Coherent and Squeezed States. 5. Berry's Phase, Aharonov-Bohm and Sagnac Effects. 6. Phase Space Picture and Canonical Transformations. 7. Quantum Entanglement. 8. Quantum Decoherence. 9. Quantum Computers. 10. Quantum Cryptography. 11. No-Cloning Theorem and Quantum Cloning Machines. 12. Quantum Tomography. 13. Quantum Simulation. 14. Quantum Error Correction. 15. Some Other Advanced Topics. 16. Quantum Technologies. Solutions to Selected Exercises. Index.
