Topological Effects in Quantum Mechanics
Among the subjects covered in this volume are the topological effects of quantum mechanics, including BohmAharonov and AharonovCasher effects and their generalisations; the toroidal moments, anapoles and their generalisations; the numerical investigation of Tonomura experiments testing the foundat...
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Format:  eBook 
Language:  English 
Published: 
Dordrecht
Springer Netherlands
1999, 1999

Edition:  1st ed. 1999 
Series:  Fundamental Theories of Physics

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Online Access:  
Collection:  Springer Book Archives 2004  Collection details see MPG.ReNa 
Table of Contents:
 7.1 An Elementary Exposition of the Bohm–Aharonov Effect
 7.2 Attempts at Proving the NonExistence of the B–A Effect
 7.3 Scattering of Charged Particles on Two Infinite Cylindrical Solenoids
 7.4 Scattering of Charged Particles by a Toroidal Solenoid
 7.5 On the SuperCurrent Arising in a Superconducting Ring
 7.6 The TimeDependent Bohm–Aharonov Effect
 7.7 Scattering of Charged Particles in an Ideal Multiply Connected Spacial Region
 7.8 On the Alternative Interpretation of the Bohm–Aharonov Effect
 7.9 The B–A Effect for Bound States
 7.10 Quantum Impenetrability and Bohm–Aharonov Scattering
 7.11 The AharonovCasher Effect
 8 Topological Effects for the Free Electromagnetic Field
 8.1 Introduction
 8.2 Relativistic Helicity and Its Physical Meaning
 8.3 GaugeInvariant Representation for the Energy of a Weak Gravitational Field
 8.4 Photon Densities
 8.5 Numerical Results
 8.6 On the Ehrenfest–Pauli Objections
 4.4 Magnetisations and the Debye Potential Representation
 4.5 Physical Meaning of the ? Functions
 4.6 Transition to PointLike Sources
 4.7 The Interaction of Charge Densities with an External Field
 4.8 Motion of a Toroidal Solenoid in an External Electromagnetic Field
 4.9 On the Inversion of the Debye Parametrisation
 4.10 Concluding Remarks
 5 Electromagnetic Properties of TimeDependent Solenoids
 5.1 Cylindrical Solenoids
 5.2 Toroidal Solenoids
 5.3 Elementary TimeDependent Toroidal Sources
 5.4 Vector Solutions of the Laplace Equation
 6 Radiationless TimeDependent ChargeCurrent Sources
 6.1 Introduction
 6.2 On Radiationless Topologically NonTrivial Sources of Electromagnetic Fields
 6.3 On Current Configurations Generating a Static Electric Field
 6.4 On Electric Vector Potentials
 6.5 More General Radiationless Sources
 6.6 Concluding Remarks Toroidal Radiationless Sources
 7 Selected Topological Effects of Quantum Mechanics
 1 Introduction
 2 Vector Potentials of Static Solenoids
 21 Cylindrical Solenoids
 2.2 Vector Potential of the Toroidal Solenoid
 3 Electromagnetic Properties of Static Solenoids
 3.1 Conditions for the Existence of Static Magnetic Solenoids
 3.2 Currents, Magnetic Dipoles and Monopoles
 3.3 Electric Static Solenoids
 3.4 On the Disappearance of the Magnetic Field Inside a Solenoid
 3.5 Vector Potentials of Toroidal Solenoids with Different Asymptotic Behaviour
 3.6 Solenoids with Nontrivial Helicity
 3.7 Electromagnetic Field of a Cylindrical Solenoid Moving Uniformly in a Medium
 3.8 Generalised Helmholtz Coils and All That
 4 Interaction of Magnetisations with an External Electromagnetic Field and a Generalisation of AmpÈRe’s Hypothesis
 4.1 Introduction
 4.2 Magnetisation, Toroidalisation, and a Generalisation of Ampère’s Hypothesis
 4.3 Interaction with an External Electromagnetic Field
 8.7 On the Hegerfeldt Theorem and All That
 8.8 Electromagnetic Waves versus Photons
 8.9 Discussion
 9 Topology of the VavilovCherenkov Radiation Field
 9.1 Introduction
 9.2 Mathematical Preliminaries
 9.3 Electromagnetic Field of a Uniformly Moving Charge on Finite and Infinite Intervals
 9.4 Vavilov–Cherenkov Effect and Accelerated Motion of a Charged Particle
 References