
Neutron Interferometry
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Content
- Cover
- Contents
- 1 Introduction
- 1.1 Neutron Optics and the Analogy with Light Optics
- 1.2 The Quantum Phase Shift of Matter Waves
- 1.3 Basic Neutron Diffraction Phenomena
- 2 Neutron Interferometers and Apparatus
- 2.1 The Perfect Si-Crystal Interferometer
- 2.2 Perfect Crystal Interferometer Setups
- 2.2.1 The ILL Setup
- 2.2.2 The MURR Setup
- 2.2.3 The NIST Setup
- 2.3 Interferometers Based upon Cold and Ultra-Cold Neutrons
- 2.4 Larmor and Ramsey Interferometers
- 3 Neutron Interactions and the Coherent Scattering Lengths
- 3.1 Nuclear Interaction
- 3.1.1 General Relations
- 3.1.2 Experimental Results
- 3.2 Electromagnetic Interaction
- 3.2.1 Magnetic Terms
- 3.2.2 Electrostatic Interactions
- 3.2.3 Electrostatic Terms
- 3.2.4 Electrical Polarizability Term
- 3.3 Parity Violating Interactions
- 3.4 External Influences
- 3.4.1 Atmospheric Effects
- 3.4.2 Temperature Effect
- 3.4.3 Magnetic Field Effects of Paramagnetic Substances
- 3.4.4 Local Field and Holography Effects
- 4 Coherence and Decoherence
- 4.1 Basic Relations
- 4.1.1 Mach-Zehnder Interferometer in Second Quantization
- 4.1.2 Coherence Function
- 4.2 Coherence Measurements
- 4.2.1 Longitudinal Coherence, x-Direction
- 4.2.2 Transverse Coherence, y-Direction
- 4.2.3 Vertical Coherence, z-Direction
- 4.2.4 Phase-Echo and Spin-Echo Experiments
- 4.2.5 Non-dispersive and Non-defocusing Phase Shifters
- 4.2.6 Neutronic Coherence Features
- 4.3 Partial Beam Path Detection
- 4.3.1 Stochastic and Deterministic Beam Attenuation
- 4.3.2 Quantum Limit of Stochastic and Deterministic Absorption
- 4.3.3 Unsharp Wave-Particle Behavior
- 4.4 Counting Statistics
- 4.4.1 General Relations
- 4.4.2 Analysis of the Neutron Counting Statistics in Interferometry
- 4.4.3 Particle Number-Phase Uncertainty Relation
- 4.4.4 Intensity Correlation Experiments
- 4.5 Post-selection Measurements
- 4.5.1 Post-selection in Ordinary Space
- 4.5.2 Post-selection in Momentum Space
- 4.5.3 The Wigner Function
- 4.5.4 Post-selection in the Time Domain
- 4.5.5 Time-of-Flight Post-selection
- 4.5.6 Interferometric Post-selection-Multiplate Interferometers
- 4.6 Decoherence and Dephasing
- 4.6.1 Basic Relations
- 4.6.2 Dephasing and Decoherence Experiments
- 5 Spinor Symmetry and Spin Superposition
- 5.1 Spinor Symmetry
- 5.2 Spin Superposition
- 5.3 Time-Dependent Spinor Superposition
- 5.4 Double-Coil Experiments and the Magnetic Josephson Effect
- 5.5 Multiphoton Exchange Experiments
- 6 Topological and Geometric Phases
- 6.1 Aharonov-Casher Topological Phase
- 6.2 Scalar Aharonov-Bohm Effects
- 6.3 Geometric Phases: Theoretical Background
- 6.4 Interferometric Measurement of the Berry Phase
- 6.5 Non-cyclic Berry Phases
- 6.6 Polarization Rotation Experiments
- 6.7 Spin-Echo Version of the Geometric Phase
- 6.8 Absorption Analog
- 6.9 Confinement-Induced Topological Quantum Phase
- 7 Contextuality and Kochen-Specker Phenomena
- 7.1 Quantum Contextuality
- 7.2 Quantum Cheshire Cat
- 8 Gravitational, Inertial, and Motional Effects
- 8.1 Gravitationally Induced Quantum Interference
- 8.1.1 Geometry of the COW Experiment
- 8.1.2 Formal Derivations of the COW and Sagnac Phase Shifts
- 8.1.3 The Total Phase Shift Including Bending
- 8.1.4 Neutron-X-Ray Difference Experiments
- 8.1.5 Neutron Two-Wavelength Difference Experiment
- 8.2 Sagnac Effect
- 8.2.1 Earth's Rotation
- 8.2.2 Turnable Rotation
- 8.2.3 Effective Mass and the Coriolis Force
- 8.3 Acceleration-Induced Interference
- 8.4 Connections with Photons
- 8.5 Neutron Fizeau Effects
- 8.5.1 Rotating Quartz Rod Experiment
- 8.5.2 Theoretical Origin of the Neutron Fizeau Phase Shift
- 8.5.3 Null Fizeau Effect Experiment
- 8.5.4 Rotating Aluminum Propeller Experiment
- 8.5.5 Rotating Samarium Disk Experiment
- 8.5.6 Proper Time and General Relativity Considerations
- 9 Solid State Physics Applications
- 9.1 Contrast Reduction due to Inhomogeneities
- 9.2 Phase Imaging Topography and Phase Tomography
- 9.2.1 Double-Crystal Method
- 9.2.2 Pinhole Method
- 9.2.3 Grating Method
- 9.2.4 Interferometer Method
- 9.3 Observation of the Goos-Hänchen Effect
- 10 Forthcoming, Proposed, and More Speculative Experiments
- 10.1 Non-linearity of the Schrödinger Equation
- 10.2 Aharonov-Bohm Analog
- 10.3 Quaternions in Quantum Mechanics
- 10.4 Non-ergodic Effects
- 10.5 Wheeler Delayed-Choice Experiments
- 10.6 Neutron-Antineutron Oscillations
- 10.7 Non-Newtonian Gravity Effects
- 10.8 Spin-Rotation Coupling
- 10.9 Hanbury-Brown and Twiss Analog
- 10.10 Search for Nuclear Entanglement
- 10.11 Confinement-Gravity Coupled Quantum Phase
- 10.12 The Anandan Acceleration
- 10.13 Search for Basic Dissipative Terms
- 10.14 Proper Time Effects in Gravity Experiments
- 10.15 Neutron Fourier Spectroscopy
- 10.16 Time-Dependent Fizeau Phase Shift
- 10.17 Search for Chameleon Fields
- 10.18 Quantum Zeno Tomography
- 10.19 Complementarity and Equivalence Tests with Unstable Particles
- 11 Perfect Crystal Neutron Optics
- 11.1 Transition from the Kinematical to Dynamical Diffraction
- 11.2 Dynamical Diffraction for the Symmetric Laue Case
- 11.3 Anomalous transmission, Angle Amplification, and High Collimation Effects
- 11.4 Pendellösung Interference Effects
- 11.5 Primary Extinction and the Width of a Bragg Reflection
- 11.6 The Takagi-Taupin Equations
- 11.7 Theory of the Perfect Silicon Crystal Neutron Interferometer
- 11.7.1 Plane Wave Theory of the LLL Interferometer
- 11.7.2 Beam Profiles and Ray Tracing through the Interferometer
- 11.7.3 The Defocused Interferometer
- 12 Interpretational Questions and Conclusions
- 12.1 Interpretations and Approaches
- 12.1.1 Copenhagen-Göttingen interpretation
- 12.1.2 The Ensemble or Statistical Interpretation
- 12.1.3 The Spontaneous Localization Approach
- 12.1.4 The Decoherence Approach
- 12.1.5 The Consistent History Approach
- 12.1.6 The Transactional Interpretation
- 12.1.7 The Guide or Pilot Wave Interpretation
- 12.1.8 The Information Interpretation
- 12.1.9 Many-World Interpretation
- 12.1.10 Bohm's Quantum Potential
- 12.1.11 Event-Based Models
- 12.1.12 No-Problem Approach
- 12.2 Conclusions
- References
- Index
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