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Physics - Theoretical, Mathematical & Computational Physics | Topological Effects in Quantum Mechanics

Topological Effects in Quantum Mechanics

Afanasiev, G.N.

1999, XII, 339 p.

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  • About this book

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 foundations of quantum mechanics; the time-dependent Bohm-Aharonov effect, the thorough study of toroidal solenoids and their use as effective transmitters of electromagnetic waves; and the topical questions of the Vavilov-Cherenkov radiation. Furthermore, concrete advice is given for the construction of magnetic and electric solenoids and the performance of experiments on the Bohm-Aharonov effect. In addition, properties of remarkable charge-current configurations and practical applications are studied.
Audience: This volume will be of interest to postgraduate students and researchers dealing with new effective sources of electromagnetic waves.

Content Level » Research

Keywords » Potential - electromagnetic field - electromagnetic wave - mechanics - quantum mechanics - topology

Related subjects » Quantum Physics - Theoretical, Mathematical & Computational Physics

Table of contents 

Preface. 1. Introduction. 2. Vector Potentials of Static Solenoids. 3. Electromagnetic Properties of Static Solenoids. 4. Interaction of Magnetisations with an External Electromagnetic Field and a Generalisation of Ampère's Hypothesis. 5. Electromagnetic Properties of Time-Dependent Solenoids. 6. Radiationless Time-Dependent Charge-Current Sources. 7. Selected Topological Effects of Quantum Mechanics. 8. Topological Effects for the Free Electromagnetic Field. 9. Topology of the Vavilov-Cherenkov Radiation Field. References. Index.

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