• Part I. Theory:
• 1. The wave function--
• 2. Time-independent Schrodinger equation--
• 3. Formalism--
• 4. Quantum mechanics in three dimensions--
• 5. Identical particles--
• 6. Symmetry-- Part II. Application:
• 7. Time-independent perturbation theory--
• 8. The variational principle--
• 9. The WKB approximation--
• 10. Scattering--
• 11. Quantum dynamics--
• 12. Afterword-- Appendix A. Linear algebra-- Index.
• (source: Nielsen Book Data)

Changes and additions to the new edition of this classic textbook include: new chapter on Symmetries, new problems and examples, improved explanations, more numerical problems to be worked on a computer, new applications to solid state physics, consolidated treatment of time-dependent potentials.
(source: Nielsen Book Data)

• 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)

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)

• Part I. Fundamental Concepts:
• 1. Introduction and overview--
• 2. Introduction to quantum mechanics--
• 3. Introduction to computer science-- Part II. Quantum Computation:
• 4. Quantum circuits--
• 5. The quantum Fourier transform and its application--
• 6. Quantum search algorithms--
• 7. Quantum computers: physical realization-- Part III. Quantum Information:
• 8. Quantum noise and quantum operations--
• 9. Distance measures for quantum information--
• 10. Quantum error-correction--
• 11. Entropy and information--
• 12. Quantum information theory-- Appendices-- References-- Index.
• (source: Nielsen Book Data)

One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. This comprehensive textbook describes such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. Quantum mechanics and computer science are introduced before moving on to describe what a quantum computer is, how it can be used to solve problems faster than 'classical' computers and its real-world implementation. It concludes with an in-depth treatment of quantum information. Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering.
(source: Nielsen Book Data)

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)

• Preface-- Acknowledgement-- Nomenclature and notation-- Part I. Fundamental Concepts:
• 1. Introduction and overview--
• 2. Introduction to quantum mechanics--
• 3. Introduction to computer science-- Part II. Quantum Computation:
• 4. Quantum circuits--
• 5. The quantum Fourier transform and its applications--
• 6. Quantum search algorithms--
• 7. Quantum computers: physical realisation-- Part III. Quantum Information:
• 8. Quantum noise, open quantum systems, and quantum operations--
• 9. Distance measurement for quantum information--
• 10. Quantum error-correction--
• 11. Entropy and information--
• 12. Quantum information theory-- Appendix A. Notes on basic probability theory-- Appendix B. Group theory-- Appendix C. Approximating quantum gates: the Solvay-Kitaev theorem-- Appendix D. Number theory-- Appendix E. Public-key cryptography and the RSA cryptosystem-- Appendix F. Proof of Lieb's theorem-- References-- Index.
• (source: Nielsen Book Data)

This text is the first comprehensive introduction to the main ideas and techniques of the field of quantum computation and quantum information. Michael Nielsen and Isaac Chuang ask the question: what are the ultimate physical limits to computation and communication? They describe in detail such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. A wealth of accompanying figures and exercises illustrate and develop the material in more depth. The authors describe what a quantum computer is, how it can be used to solve problems faster than familiar 'classical' computers, and the real-world implementation of quantum computers. The book concludes with an in-depth treatment of quantum information, explaining how quantum states can be used to perform remarkable feats of communication, together with a discussion of how it is possible to protect quantum states against the effects of noise.
(source: Nielsen Book Data)