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Quantum mechanics, from its birth to quantum information, is explained in a simple way using established mathematical techniques.
List of contents
Preface; 1. History of quantum mechanics; 2. Vectors and operators; 3. Finite dimensional spaces; 4. Function space; 5. Postulates of quantum mechanics; 6. Density operator; 7. Measurement postulate and paradoxes of quantum mechanics; 8. Position and momentum representations; 9. Schrödinger equation in one dimension; 10. One-dimensional piecewise constant potentials; 11. One-dimensional exactly solvable continuous potentials; 12. Partially and completely periodic potentials; 13. Harmonic oscillator; 14. Three-dimensional central potentials; 15. Symmetry in quantum mechanics; 16. Quantum theory of angular momentum; 17. Approximation methods; 18. Entanglement and local hidden variable theory; Appendix A. Delta function; Appendix B. Second-order ordinary differential equations; Appendix C. Riccati equation; Appendix D. Some mathematical formulas; References; Index.
About the author
Ravinder R. Puri is a Visiting Professor in the Department of Physics at the Indian Institute of Technology, Gandhinagar. He is serving as a Distinguished Guest Professor at the Indian Institute of Technology, Bombay (November 2009–present) and earlier served as Visiting Professor at the University of Manchester Institute of Science and Technology (UMIST), UK (June–December 1997). He has published more than one hundred papers in journals and conferences of national and international repute. His areas of research interest include theoretical quantum optics, foundations of quantum mechanics and quantum information processing.
Summary
This book is aimed at senior undergraduate and graduate students. Established mathematical techniques are used to simplify several complex calculations, and a wide range of topics including quantum computing and quantum information are covered in detail.