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Aharonov Y., Rohrlich D. Quantum paradoxes. Quantum theory for the perplexed

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Aharonov Y., Rohrlich D. Quantum paradoxes. Quantum theory for the perplexed
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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