Quantum mechanics II: advanced topics

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 authors⁰́₉ 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, Berry⁰́₉s phase, Aharonov⁰́₄Bohm 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.

1. Quantum Field Theory. 2. Path Integral Formulation. 3. Supersymmetric Quantum Mechanics. 4. Coherent and Squeezed States. 5. Berry⁰́₉s Phase, Aharonov⁰́₃Bohm 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.