عنوان

Topological Effects in Quantum Mechanics

شابک

9789401059596

شابک

9789401146395

شماره

b408854

عنوان اصلي

Topological Effects in Quantum Mechanics

نام عام مواد

[Book]

نام نخستين پديدآور

edited by G. N. Afanasiev.

محل نشرو پخش و غیره

Dordrecht :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

1999.

عنوان فروست

Fundamental Theories of Physics ;

مشخصه جلد

107

متن يادداشت

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 -- 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 -- 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 -- 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.

بدون عنوان

0

متن يادداشت

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.

شماره استاندارد بين المللي کتاب و موسيقي

9789401059596

عنوان

Springer eBooks

موضوع مستند نشده

Physics.

موضوع مستند نشده

Quantum theory.

مستند نام اشخاص تاييد نشده

Afanasiev, G. N.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307162800.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y