Topological Effects in Quantum Mechanics
Among the subjects covered in this volume are the topological effects of quantum mechanics, including Bohm-Aharonov and Aharonov-Casher 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 |
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Dordrecht
Springer Netherlands
1999, 1999
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| Edition: | 1st ed. 1999 |
| Series: | Fundamental Theories of Physics
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| Subjects: | |
| 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 Non-Existence 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 Super-Current Arising in a Superconducting Ring
- 7.6 The Time-Dependent 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 Aharonov-Casher Effect
- 8 Topological Effects for the Free Electromagnetic Field
- 8.1 Introduction
- 8.2 Relativistic Helicity and Its Physical Meaning
- 8.3 Gauge-Invariant 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 Point-Like 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 Time-Dependent Solenoids
- 5.1 Cylindrical Solenoids
- 5.2 Toroidal Solenoids
- 5.3 Elementary Time-Dependent Toroidal Sources
- 5.4 Vector Solutions of the Laplace Equation
- 6 Radiationless Time-Dependent Charge-Current Sources
- 6.1 Introduction
- 6.2 On Radiationless Topologically Non-Trivial 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 Non-trivial 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 Vavilov-Cherenkov 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