Non-Relativistic Quantum Mechanics

Inbunden, Engelska, 2017

1 279 kr

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This book develops and simplifies the concept of quantum mechanics based on the postulates of quantum mechanics. The text discusses the technique of disentangling the exponential of a sum of operators, closed under the operation of commutation, as the product of exponentials to simplify calculations of harmonic oscillator and angular momentum. Based on its singularity structure, the Schrödinger equation for various continuous potentials is solved in terms of the hypergeometric or the confluent hypergeometric functions. The forms of the potentials for which the one-dimensional Schrödinger equation is exactly solvable are derived in detail. The problem of identifying the states of two-level systems which have no classical analogy is addressed by going beyond Bell-like inequalities and separability. The measures of quantumness of mutual information in two two-level systems is also covered in detail.

Produktinformation

Utgivningsdatum2017-07-04
Mått183 x 248 x 26 mm
Vikt880 g
FormatInbunden
SpråkEngelska
Antal sidor452
FörlagCambridge University Press
ISBN9781107164369

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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.

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.