Ebook: Fundamental Aspects of Quantum Theory

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Content:
Front Matter....Pages i-xi
Are Coherent States the Natural Language of Quantum Theory?....Pages 1-12
The Classical Behaviour of Measuring Instruments....Pages 13-21
A Continuous Superselection Rule as a Model of Classical Measuring Apparatus in Quantum Mechanics....Pages 23-33
Quantum Interference Effect for Two Atoms Radiating a Single Photon....Pages 35-41
Neutron Interferometry and Quantum Mechanics....Pages 43-55
An Attempt at a Unified Description of Microscopic and Macroscopic Systems....Pages 57-64
On the Quantum Theory of Continuous Measurements....Pages 65-73
Conditional Expectations on Jordan Algebras....Pages 75-79
Stochastic Quantization of Gauge Fields and Constrained Systems....Pages 81-94
Brownian Motion, Markov Cosurfaces, Higgs Fields....Pages 95-104
Stochastic Description of Supersymmetric Fields with Values in A Manifold....Pages 105-110
Quantum Stochastic Calculus in Fock Space: A Review....Pages 111-123
Quantum Markov Processes Driven by Bose Noise....Pages 125-131
Stochastic Interpretation of Emission and Absorption of the Quantum of Action....Pages 133-137
Probabilistic Expression for the Solution of the Dirac Equation in Fourier Space....Pages 139-145
Are Dirac Electrons Faster than Light?....Pages 147-153
Sojourn Times and First Hitting Times in Stochastic Mechanics....Pages 153-161
Quantum Systems Periodically Perturbed in Time....Pages 163-171
Chaotic Ionization of Highly-Excited Hydrogen Atoms by a Microwave Electric Field....Pages 173-182
Possible Evidence of Deterministic Chaos for the Sinusoidally-Driven Weakly-Bound Electron....Pages 183-192
Quantization of Non-Integrable Systems; the Hydrogen Atom in a Magnetic Field....Pages 193-198
Quantum Ergodicity and Chaos....Pages 199-208
Some Fundamental Properties of the Ground States of Atoms and Molecules....Pages 209-214
Mass/Energy Gap Associated to Symmetry Breaking: A Generalized Goldstone Theorem for Long Range Interactions....Pages 215-224
Embedding As a Description of the Relation Between Macro- and Microphysics....Pages 225-232
Some Applications of Semigroups....Pages 233-238
N-Level Systems Interacting with Bosons: Semiclassical Limits....Pages 239-246
Bose-Einstein Condensation in Some Interacting Systems....Pages 247-252
Charge, Anomalies and Index Theory....Pages 253-266
Adiabatic Phase Shifts for Neutrons and Photons....Pages 267-278
The Gauge Principle in Modern Physics....Pages 279-288
Infinite Dimensional Lie Algebras and Quantum Physics....Pages 289-293
The Spins of Cyons and Dyons....Pages 295-300
Beyond the Hall Effect: Practical Engineering from Relativistic Quantum Field Theory....Pages 301-310
Generalized Aharonov-Bohm Experiments with Neutrons....Pages 311-318
The Aharonov-Bohn Effect is Real Physics not Ideal Physics....Pages 319-320
Again about an Old Stuff: The Aharonov- Bohm “Effect”....Pages 321-324
Against the Existence of the Aharonov-Bohm Effect....Pages 325-328
Theories without AB effect Misrepresent the Dynamics of the Electromagnetic Field....Pages 329-333
Some Cases of the Aharonov-Bohm Effect: Electron Scattering on Magnetic Strings....Pages 335-337
Global Gauge Invariance in two-Dimensional Quantum Mechanics....Pages 339-341
Stability of Matter....Pages 343-354
The Gravitational Phase Transition....Pages 355-358
Gravitational and Rotational Effects on Superconductors....Pages 359-371
Quantum Fields on Manifolds: An Interplay between Quantum Theory, Statistical Thermodynamics and General Relativity....Pages 373-378
Quantum Field Theory in Gravitational Background....Pages 379-384
Classical Scattering Theory on the Schwarzschild Metric and the Construction of Quantum Linear Fields on Black Holes....Pages 385-395
The Stochastic Versus the Euclidean Approach to Quantum Fields on a Static Space-Time....Pages 397-402
Quantum Theory in Vector Bundles....Pages 403-410
Anomalies and Their Cancellation....Pages 411-417
Remarks about Metric Tensors on Fractal Structures....Pages 419-422
A New Gauge Without any Ghost for Yang-Mills Theory....Pages 423-424
Unitary Formalism for Time-Dependent Problems....Pages 425-426
Finite Temperature Quantum Electrical Network Theory....Pages 427-428
Two Remarks on the Physical Content of Stochastic Mechanics....Pages 429-432
The Lambshift for Resonances: Complex Dilations and Coupling Constant Thresholds in Relativistic Quantum Mechanics....Pages 433-434
Energy Density and Roughening in the 3-D Ising Ferromagnet....Pages 435-438
Bose-Einstein Condensation of Free Photons....Pages 439-440
Variational Principle in Quantum Mechanics....Pages 441-442
Geometric Quantum Mechanics....Pages 443-444
Spectral Sum Rules for Confinement Potentials....Pages 445-446
Metrology of Space-Time Dimension....Pages 447-449
Chronological Disordering and the Absence of Correlations Between Infinitely Separated States....Pages 451-452
On Solutions of Quantum Stochastic Integral Equations....Pages 453-455
Back Matter....Pages 457-464

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Content:
Front Matter....Pages i-xi
Are Coherent States the Natural Language of Quantum Theory?....Pages 1-12
The Classical Behaviour of Measuring Instruments....Pages 13-21
A Continuous Superselection Rule as a Model of Classical Measuring Apparatus in Quantum Mechanics....Pages 23-33
Quantum Interference Effect for Two Atoms Radiating a Single Photon....Pages 35-41
Neutron Interferometry and Quantum Mechanics....Pages 43-55
An Attempt at a Unified Description of Microscopic and Macroscopic Systems....Pages 57-64
On the Quantum Theory of Continuous Measurements....Pages 65-73
Conditional Expectations on Jordan Algebras....Pages 75-79
Stochastic Quantization of Gauge Fields and Constrained Systems....Pages 81-94
Brownian Motion, Markov Cosurfaces, Higgs Fields....Pages 95-104
Stochastic Description of Supersymmetric Fields with Values in A Manifold....Pages 105-110
Quantum Stochastic Calculus in Fock Space: A Review....Pages 111-123
Quantum Markov Processes Driven by Bose Noise....Pages 125-131
Stochastic Interpretation of Emission and Absorption of the Quantum of Action....Pages 133-137
Probabilistic Expression for the Solution of the Dirac Equation in Fourier Space....Pages 139-145
Are Dirac Electrons Faster than Light?....Pages 147-153
Sojourn Times and First Hitting Times in Stochastic Mechanics....Pages 153-161
Quantum Systems Periodically Perturbed in Time....Pages 163-171
Chaotic Ionization of Highly-Excited Hydrogen Atoms by a Microwave Electric Field....Pages 173-182
Possible Evidence of Deterministic Chaos for the Sinusoidally-Driven Weakly-Bound Electron....Pages 183-192
Quantization of Non-Integrable Systems; the Hydrogen Atom in a Magnetic Field....Pages 193-198
Quantum Ergodicity and Chaos....Pages 199-208
Some Fundamental Properties of the Ground States of Atoms and Molecules....Pages 209-214
Mass/Energy Gap Associated to Symmetry Breaking: A Generalized Goldstone Theorem for Long Range Interactions....Pages 215-224
Embedding As a Description of the Relation Between Macro- and Microphysics....Pages 225-232
Some Applications of Semigroups....Pages 233-238
N-Level Systems Interacting with Bosons: Semiclassical Limits....Pages 239-246
Bose-Einstein Condensation in Some Interacting Systems....Pages 247-252
Charge, Anomalies and Index Theory....Pages 253-266
Adiabatic Phase Shifts for Neutrons and Photons....Pages 267-278
The Gauge Principle in Modern Physics....Pages 279-288
Infinite Dimensional Lie Algebras and Quantum Physics....Pages 289-293
The Spins of Cyons and Dyons....Pages 295-300
Beyond the Hall Effect: Practical Engineering from Relativistic Quantum Field Theory....Pages 301-310
Generalized Aharonov-Bohm Experiments with Neutrons....Pages 311-318
The Aharonov-Bohn Effect is Real Physics not Ideal Physics....Pages 319-320
Again about an Old Stuff: The Aharonov- Bohm “Effect”....Pages 321-324
Against the Existence of the Aharonov-Bohm Effect....Pages 325-328
Theories without AB effect Misrepresent the Dynamics of the Electromagnetic Field....Pages 329-333
Some Cases of the Aharonov-Bohm Effect: Electron Scattering on Magnetic Strings....Pages 335-337
Global Gauge Invariance in two-Dimensional Quantum Mechanics....Pages 339-341
Stability of Matter....Pages 343-354
The Gravitational Phase Transition....Pages 355-358
Gravitational and Rotational Effects on Superconductors....Pages 359-371
Quantum Fields on Manifolds: An Interplay between Quantum Theory, Statistical Thermodynamics and General Relativity....Pages 373-378
Quantum Field Theory in Gravitational Background....Pages 379-384
Classical Scattering Theory on the Schwarzschild Metric and the Construction of Quantum Linear Fields on Black Holes....Pages 385-395
The Stochastic Versus the Euclidean Approach to Quantum Fields on a Static Space-Time....Pages 397-402
Quantum Theory in Vector Bundles....Pages 403-410
Anomalies and Their Cancellation....Pages 411-417
Remarks about Metric Tensors on Fractal Structures....Pages 419-422
A New Gauge Without any Ghost for Yang-Mills Theory....Pages 423-424
Unitary Formalism for Time-Dependent Problems....Pages 425-426
Finite Temperature Quantum Electrical Network Theory....Pages 427-428
Two Remarks on the Physical Content of Stochastic Mechanics....Pages 429-432
The Lambshift for Resonances: Complex Dilations and Coupling Constant Thresholds in Relativistic Quantum Mechanics....Pages 433-434
Energy Density and Roughening in the 3-D Ising Ferromagnet....Pages 435-438
Bose-Einstein Condensation of Free Photons....Pages 439-440
Variational Principle in Quantum Mechanics....Pages 441-442
Geometric Quantum Mechanics....Pages 443-444
Spectral Sum Rules for Confinement Potentials....Pages 445-446
Metrology of Space-Time Dimension....Pages 447-449
Chronological Disordering and the Absence of Correlations Between Infinitely Separated States....Pages 451-452
On Solutions of Quantum Stochastic Integral Equations....Pages 453-455
Back Matter....Pages 457-464
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