Wiley-VCH, 2005. — 299 p.Yakir Aharonov is one of the pioneers in measuring theory, the nature of quantum correlations, superselection rules, and geometric phases and has been awarded numerous scientific honors. The author has contributed monumental concepts to theoretical physics, especially the Aharonov-Bohm effect and the Aharonov-Casher effect. Together with Daniel Rohrlich, Israel, he has written a pioneering work on the remaining mysteries of quantum mechanics. From the perspective of a preeminent researcher in the fundamental aspects of quantum mechanics, the text combines mathematical rigor with penetrating and concise language. More than 200 exercises introduce readers to the concepts and implications of quantum mechanics that have arisen from the experimental results of the recent two decades. With students as well as researchers in mind, the authors give an insight into that part of the field, which led Feynman to declare that "nobody understands quantum mechanics".Preface The Uses of Paradox Paradox in Physics Errors Gaps Contradictions Overview of the Book References How to Weigh a Quantum Why does the Color of the Light Change? Quanta Uncertainty Relations The Clock-in-the-Box Paradox From Inconsistency to Incompleteness References Is Quantum Theory Complete? The Einstein-Podolsky-Rosen Paradox Polarized Photons Quantum States and Observables Bell’s Inequality Paradox and Beyond References Phases and Gauges Two Paradoxical Procedures Classical and Quantum Phases Phase Meets Gauge The Aharonov-Bohm Effect Quantum Consistency and the Aharonov-Bohm Effect Flux Quantization Magnetoresistance Non-Abelian Phases References Modular Variables A Lattice of Solenoids Non-overlapping Wave Packets Modular Momentum The xmod, pmod Representation Intimations of Nonlocality References Nonlocality and Causality Causality and a Piston Quantum Effects Without Classical Analogues Modular Energy Reconciling the Irreconcilable References Quantum Measurements The Velocity Paradox A Quantum Measurement Paradigm Quantum Measurements and Uncertainty Relations Paradox Lost References Measurement and Compensation Paradox Regained Compensating Forces Quantum Measurements of Noncanonical Observables Measuring the Electric Field Energy and Time References Quantum Cats Schrödinger’s Cat A Quantum Catalyst Quantum Concatenations A Quantum Catalog References A Quantum Arrow of Time? A Quantum Card Trick Time Reversal The Aharonov-Bergmann-Lebowitz Formula The Arrow of Time Revisited Boundary Conditions on the Universe References Superselection Rules Superselection Rule for Angular Momentum? T and Spin The Wick-Wightman-Wigner Argument Everything is Relative Superposing Charge States References Quantum Slow Dance A Watched Pot Never Boils The Adiabatic Approximation Feynman Paths Classical Analogues References Charges and Fluxons Hidden Momentum? Duality of the Aharonov-Bohm Effect The Aharonov-Bohm Effect and Berry’s Phase The Aharonov-Casher Effect References Quantum Measurements and Relativity Collapse and Relativity Relativistic Constraints on Measurements Nonlocal Measurements Which Nonlocal Operators are Measurable? Measuring a Nonlocal Operator Collapse and Relativity Revisited References How to Observe a Quantum Wave Dipole Paradox How not to Observe a Quantum Wave Protective Measurements Galilean Dialogue Protective Measurements and Causality Towards Quantum Field Theory References Weak Values A Weak Measurement A Paradox of Errors Pre- and Postselected Ensembles Weak Measurements and Weak Values A Quantum Shell Game The Quantum Walk Faster than Light Galilean Dialogue References Weak Values and Entanglement Interaction-free Paradox A Grin Without a Cat Alice and Bob in Wonderland Galilean Dialogue Complex Weak Values References The Quantum World Weak Measurements and Interference From Amplitudes to Probabilities The Fate of the Universe The Role of h Causality and Nonlocality as Axioms Causality, Nonlocality and Scaling What is the Quantum World? References Index
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