The Expansion of Electromagnetic Fields and Potentials in the Wave Functions of the Photon PDF Download

Author: Harry E. Moses
Publisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 70

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Book Description
The expansion of the unquantized electromagnetic fields and vector and scalar potentials in terms of the wave functions of the relativistic photon is reviewed and extended. Both linear and angular momentum bases are used for the photon wave functions. After second quantizing the electromagnetic field, the results are applied to the obtaining of the exact matrix elements (that is, with retardation taken into account exactly) and selection rules for the emission of photons by hydrogenic atoms. The dichotomy between the photon and wave picture of electromagnetic radiation is discussed and resolved. Furthermore, the most general vector and scaler potentials are obtained through the use of the eigenfunctions of the curl operator. (Author).

Author: Harry E. Moses
Publisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 0

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Book Description
The expansion of the unquantized electromagnetic fields and vector and scalar potentials in terms of the wave functions of the relativistic photon is reviewed and extended. Both linear and angular momentum bases are used for the photon wave functions. After second quantizing the electromagnetic field, the results are applied to the obtaining of the exact matrix elements (that is, with retardation taken into account exactly) and selection rules for the emission of photons by hydrogenic atoms. The dichotomy between the photon and wave picture of electromagnetic radiation is discussed and resolved. Furthermore, the most general vector and scaler potentials are obtained through the use of the eigenfunctions of the curl operator. (Author)

Author: Trilochan Pradhan
Publisher: Nova Publishers
ISBN: 9781560729280
Category : Science
Languages : en
Pages : 146

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Book Description
This book is about Maxwell's electromagnetic theory of light. First, it is a fully relativistic theory without having a non-relativistic limit. There arise many difficulties in quantising the electromagnetic field and in the physical interpretation of the wavefunction of its quanta. Further, the first quantisation of the Maxwell equations similar to quantisation of classical mechanics by the Schrodinger method, has not been discussed in most books on quantum mechanics. Second, the Maxwell field is the simplest gauge field possessing symmetry with respect to Poincare group of transformations in addition to scale, duality and special conformal transformations whose local versions give rise to new interaction of photons through new gauge fields. One of these gauge fields couples to the spin density of the photon and other particles and can bind fermion-antifermion pairs to give transverse photons. Another interesting aspect of the electromagnetic field is its coherence properties and their interpretation in terms of quantised theory.

Author: Samuel J. Ling
Publisher:
ISBN: 9789888407613
Category : Science
Languages : en
Pages : 818

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Book Description
University Physics is designed for the two- or three-semester calculus-based physics course. The text has been developed to meet the scope and sequence of most university physics courses and provides a foundation for a career in mathematics, science, or engineering. The book provides an important opportunity for students to learn the core concepts of physics and understand how those concepts apply to their lives and to the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Coverage and Scope Our University Physics textbook adheres to the scope and sequence of most two- and three-semester physics courses nationwide. We have worked to make physics interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. With this objective in mind, the content of this textbook has been developed and arranged to provide a logical progression from fundamental to more advanced concepts, building upon what students have already learned and emphasizing connections between topics and between theory and applications. The goal of each section is to enable students not just to recognize concepts, but to work with them in ways that will be useful in later courses and future careers. The organization and pedagogical features were developed and vetted with feedback from science educators dedicated to the project. VOLUME II Unit 1: Thermodynamics Chapter 1: Temperature and Heat Chapter 2: The Kinetic Theory of Gases Chapter 3: The First Law of Thermodynamics Chapter 4: The Second Law of Thermodynamics Unit 2: Electricity and Magnetism Chapter 5: Electric Charges and Fields Chapter 6: Gauss's Law Chapter 7: Electric Potential Chapter 8: Capacitance Chapter 9: Current and Resistance Chapter 10: Direct-Current Circuits Chapter 11: Magnetic Forces and Fields Chapter 12: Sources of Magnetic Fields Chapter 13: Electromagnetic Induction Chapter 14: Inductance Chapter 15: Alternating-Current Circuits Chapter 16: Electromagnetic Waves

Author: Aleksandr Ilʹich Akhiezer
Publisher:
ISBN:
Category : Quantum electrodynamics
Languages : en
Pages : 312

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Book Description

Author: Dale Mills Grimes
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789812389251
Category : Science
Languages : en
Pages : 416

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Book Description
Provides an innovative way of viewing scattering phenomena, radiation exchanges, and energy transfer by electromagnetic fields. Chapters discuss topics such as photons, quantum theory, classical electrodynamics, and antenna Q. Previous edition not cited.

Author: Ole Keller
Publisher: CRC Press
ISBN: 143984044X
Category : Science
Languages : en
Pages : 464

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Book Description
From the early wave-particle arguments to the mathematical theory of electromagnetism to Einstein's work on the quantization of light, different descriptions of what constitutes light have existed for over 300 years. This book examines the photon phenomenon from several perspectives. It demonstrates the importance of studying the photon as a concept belonging to a global vacuum (matter-free space). The book explains the models and physical and mathematical descriptions of light and examines the behavior of light and its interaction with matter.

Author: Richard R. Freeman
Publisher: Oxford University Press
ISBN: 0191039977
Category : Science
Languages : en
Pages : 637

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Book Description
Electromagnetic Radiation is a graduate level book on classical electrodynamics with a strong emphasis on radiation. This book is meant to quickly and efficiently introduce students to the electromagnetic radiation science essential to a practicing physicist. While a major focus is on light and its interactions, topics in radio frequency radiation, x-rays, and beyond are also treated. Special emphasis is placed on applications, with many exercises and problems. The format of the book is designed to convey the basic concepts in a mathematically rigorous manner, but with detailed derivations routinely relegated to the accompanying side notes or end of chapter "Discussions". The book is composed of four parts: Part I is a review of basic E&M (electricity and magnetism), and presents a concise review of topics covered in the subject. Part II addresses the origins of radiation in terms of time variations of charge and current densities within the source, and presents Jefimenko's field equations as derived from retarded potentials. Part III introduces special relativity and its deep connection to Maxwell's equations, together with an introduction to relativistic field theory, as well as the relativistic treatment of radiation from an arbitrarily accelerating charge. A highlight of this part is a chapter on the still partially unresolved problem of radiation reaction on an accelerating charge. Part IV treats the practical problems of electromagnetic radiation interacting with matter, with chapters on energy transport, scattering, diffraction and finally an illuminating, application-oriented treatment of fields in confined environments.

Author: Richard R. Freeman
Publisher: Oxford University Press
ISBN: 0198726503
Category : Science
Languages : en
Pages : 637

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Book Description
This graduate level textbook aims to teach fundamental ideas of advanced classical electrodynamics, with an emphasis on the physics of radiation. The text describes concepts with the minimum required mathematical detail, while the accompanying side notes and end of chapter discussions provide the detailed derivations.

Author: D. P. Craig
Publisher: Courier Corporation
ISBN: 0486135632
Category : Science
Languages : en
Pages : 338

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Book Description
Self-contained, systematic introduction examines application of quantum electrodynamics to interpretation of optical experiments on atoms and molecules and explains the quantum theory of electromagnetic radiation and its interaction with matter.