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Book
xv, 722 pages : illustrations ; 24 cm
  • Mathematical Prerequisites-- The Formulation of Quantum Mechanics-- Kinematics and Dynamics-- Coordinate Representation and Applications-- Momentum Representation and Applications-- The Harmonic Oscillator-- Angular Momentum-- State Preparation and Determination-- Measurement and the Interpretation of States-- Formation of Bound States-- Charged Particle in a Magnetic Field-- Time-Dependent Phenomena-- Discrete Symmetries-- The Classical Limit-- Quantum Mechanics in Phase-Space-- Scattering-- Identical Particles-- Many-Fermion Systems-- Quantum Mechanics of the Electromagnetic Field-- Bell's Theorem and Its Consequences-- Quantum Information.
  • (source: Nielsen Book Data)9789814578585 20170123
Although there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of QM, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory.In this edition a new chapter on quantum information is added. As the topic is still in a state of rapid development, a comprehensive treatment is not feasible. The emphasis is on the fundamental principles and some key applications, including quantum cryptography, teleportation of states, and quantum computing. The impact of quantum information theory on the foundations of quantum mechanics is discussed. In addition, there are minor revisions to several chapters.The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of QM. Parts of it can be used by senior undergraduates too.
(source: Nielsen Book Data)9789814578585 20170123
Engineering Library (Terman)
PHYSICS-231-01
Book
xviii, 550 p. : ill. ; 24 cm.
  • 1. Fundamental Concepts 1.1. The Stern-Gerlach Experiment 1.2. Kets, Bras, and Operators 1.3. Base Kets and Matrix Representations 1.4. Measurements, Observaables, and the Uncertainty Relations 1.5. Change of Basis 1.6. Position, Momentum, and Translation 1.7. Wave Functions in Position and Momentum Space -- 2. Quantum Dynamics 2.1. Time Evolution and the Schr�Dinger Equation 2.2. The Schr�Dinger Versus the Heisenberg Picture 2.3. Simple Harmonic Oscillator 2.4. -- Schr�Dinger's Wave Equation 2.5. Elementary Solutions to Schr�Dinger's Wave Equation 2.6. Propogators and Feynman Path Integrals 2.7. Potentials and Gauge Transformations -- 3. Theory of Angular Momentum 3.1. Rotations and Angular Momentum Commutation Relations 3.2. Spin 1 3.3. SO(e), SU(2), and Euler Rotations 3.4. Density Operators and Pure Versus Mixed Ensembles 3.5 Eigenvalues and Eigenstates of Angular Momentum 3.6. Orbital Angular Momentum 3.7. Schr�Dinger's Equation for Central Potentials 3.8 Addition of Angular Momenta 3.9. Schwingerâ s Oscillator Model of Angular Momentum 3.10. Spin Correlation Measurements and Bellâ s Inequality 3.11. Tensor Operators -- 4. Symmetry in Quantum Mechanics 4.1. Symmetries, Conservation Laws, and Degeneracies 4.2. Discrete Symmetries, Parity, or Space Inversion 4.3. Lattice Translation as a Discrete Symmetry 4.4. The Time-Reversal Discrete Symmetry -- 5. Approximation Methods 5.1. Time-Independent Perturbation Theory: Nondegenerate Case 5.2. Time-Independent Perturbation Theory: The Degenerate Case 5.3. Hydrogenlike Atoms: Fine Structure and the Zeeman Effect 5.4. Variational Methods 5.5. Time-Depedent Potentials: The Interaction Picture 5.6. Hamiltonians with Extreme Time Dependence 5.7. Time-Dependent Perturbation Theory 5.8. Applications to Interactions with the Classical Radiation Field 5.9 Energy Shift and Decay Width -- 6. Scattering Theory 6.1. Scattering as a Time-Dependent Perturbation 6.2 The Scattering Amplitude 6.3. The Born Approximation 6.4. Phase Shifts and Partial Waves 6.5. Eikonal Approximation 6.6. Low-Energy Scattering and Bound States 6.7. Resonance Scattering 6.8. Symmetry Considerations in Scattering 6.9 Inelastic Electron-Atom Scattering -- 7. Identical Particles 7.1. Permutation Symmetry 7.2. Symmetrization Postulate 7.3. Two-Electron System 7.4. The Helium Atom 7.5. Multi-Particle States 7.6. Quantization of the Electromagnetic Field -- 8. Relativistic Quantum Mechanics 331 8.1. Paths to Relativisitic Quantum Mechanics 8.2. The Dirac Equation 8.3. Symmetries of the Dirac Equation 8.4. Solving with a Central Potential 8.5. Relativistic Quantum Field Theory -- Appendices A. Electromagnetic Units A.1. Coulombâ s Law, Charge, and Current A.2. Converting Between Systems B. Brief Summary of Elementary Solutions to Shr�Dinger's Wave Eqation B.1. Free Particles (V=0) B.2. Piecewise Constatn Potentials in One Dimension B.3. Transmissionâ Reflection Problems B.4. Simple Harmonic Oscillator B.5. The Central Force Problem (Spherically Symmetrical Potential V=V(r)] B.6. Hydrogen Atom --.
  • (source: Nielsen Book Data)9780321503367 20160604
This best-selling classic provides a graduate-level, non-historical, modern introduction of quantum mechanical concepts. The author, J. J. Sakurai, was a renowned theorist in particle theory. This revision by Jim Napolitano retains the original material and adds topics that extend the textâ s usefulness into the 21st century. The introduction of new material, and modification of existing material, appears in a way that better prepares the student for the next course in quantum field theory. You will still find such classic developments as neutron interferometer experiments, Feynman path integrals, correlation measurements, and Bellâ s inequality. The style and treatment of topics is now more consistent across chapters. The Second Edition has been updated for currency and consistency across all topics and has been checked for the right amount of mathematical rigor..
(source: Nielsen Book Data)9780321503367 20160604
Engineering Library (Terman)
PHYSICS-231-01
Book
xviii, 676 p. : ill. ; 27 cm.
Reviews from the First Edition: 'An excellent text? The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner' - ("American Scientist"). 'No matter how gently one introduces students to the concept of Dirac's bras and kets, many are turned off. Shankar attacks the problem head-on in the first chapter, and in a very informal style suggests that there is nothing to be frightened of' - ("Physics Bulletin").Reviews of the Second Edition: 'This massive text of 700 and odd pages has indeed an excellent get-up, is very verbal and expressive, and has extensively worked out calculational details - all just right for a first course. The style is conversational, more like a corridor talk or lecture notes, though arranged as a text. It would be particularly useful to beginning students and those in allied areas like quantum chemistry' - ("Mathematical Reviews").R. Shankar has introduced major additions and updated key presentations in this second edition of "Principles of Quantum Mechanics". New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: clear, accessible treatment of underlying mathematics; a review of Newtonian, Lagrangian, and Hamiltonian mechanics; student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates; and, unsurpassed coverage of path integrals and their relevance in contemporary physics.The requisite text for advanced undergraduate- and graduate-level students, "Principles of Quantum Mechanics, Second Edition" is fully referenced and is supported by many exercises and solutions. The book's self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.
(source: Nielsen Book Data)9780306447907 20160528
Engineering Library (Terman)
PHYSICS-231-01