Light And Vacuum

Light and Vacuum presents a synthesis of selected fundamental topics of electromagnetic wave theory and quantum electrodynamics (QED) and analyzes the main theoretical difficulties encountered to ensure a coherent mathematical description of the simultaneous wave–particle nature of light, put in evidence by the experiments. The notion and the role of the quantum vacuum, strongly related to light, are extensively investigated. Classical electrodynamics issued from Maxwell's equations revealed the necessity of introducing the notion of volume for an electromagnetic wave to stand entailing precise values of cut-off wavelengths to account for the shape and dimensions of the surrounding space. Conversely, in QED, light is considered to be composed of point particles disregarding the conceptual question on how the frequency of oscillating electric and magnetic fields may be attributed to a point particle. To conciliate these concepts, the book provides a comprehensive overview of the author's work, including innovative contributions on the quantization of the vector potential amplitude at a single photon state, the non-local simultaneous wave–particle mathematical representation of the photon and finally the quantum vacuum. The purpose of the advanced elaborations is to raise questions, give hints and answers, and finally aspire for further theoretical and experimental studies in order to improve our knowledge and understanding on the real essence of Light and Vacuum. In this new edition, the bibliography has been widely enriched. Improvements have been made to the various chapters, taking into account the actual status of the knowledge in this field.

Light and Vacuum presents a synthesis of selected fundamental topics of electromagnetic wave theory and quantum electrodynamics (QED) and analyzes the main theoretical difficulties encountered to ensure a coherent mathematical description of the simultaneous wave–particle nature of light, put in evidence by the experiments. The notion and the role of the quantum vacuum, strongly related to light, are extensively investigated. Classical electrodynamics issued from Maxwell's equations revealed the necessity of introducing the notion of volume for an electromagnetic wave to stand entailing precise values of cut-off wavelengths to account for the shape and dimensions of the surrounding space. Conversely, in QED, light is considered to be composed of point particles disregarding the conceptual question on how the frequency of oscillating electric and magnetic fields may be attributed to a point particle. To conciliate these concepts, the book provides a comprehensive overview of the author's work, including innovative contributions on the quantization of the vector potential amplitude at a single photon state, the non-local simultaneous wave–particle mathematical representation of the photon and finally the quantum vacuum. The purpose of the advanced elaborations is to raise questions, give hints and answers, and finally aspire for further theoretical and experimental studies in order to improve our knowledge and understanding on the real essence of Light and Vacuum. Contents:IntroductionHistorical Survey and Experimental EvidenceBasic Principles of the Electromagnetic Wave TheoryFrom Electromagnetic Waves to Quantum ElectrodynamicsTheory, Experiments and QuestionsAnalysis of the Electromagnetic Field Quantization Process and the Photon Vector Potential. The Non-Local Photon Wave-Particle Representation and the Quantum VacuumEpilogue Readership: This book is recommended for advanced postgraduate students and researchers who are interested in Quantum Mechanics and Electrodynamics. Key Features:The main mathematical ambiguities of the quantum electrodynamics formalism are clearly put in evidence, such as: derivation of the Hamiltonian without respecting Heisenberg's commutation relations, lack of an interaction Hamiltonian between the vacuum state and the electrons, singularities … etc.The basic aspect of Quantum Electrodynamics related to the quantization of the vector potential amplitude of the electromagnetic field to a single photon state α0k (ωk) = ξωk, which derives directly from Maxwell's equations, is uniquely described in this manuscriptA coherent mathematical coupling of the electromagnetic wave theory and quantum electrodynamics is fully provided resulting in a unique simultaneous wave particle formalism for the photon, in agreement with the experimental evidenceThe quantum vacuum issues arise naturally from the vector potential quantization procedure and corresponds to a very low energy density, compatible with recent astrophysical observations. Furthermore, it is explicitly expressed as a function of creation and annihilation operators permitting direct interactions with the electronsKeywords:Light;Electromagnetic Field;Second Quantization;Photons;Electrons;Quantum Vacuum

"Light and Vacuum presents a synthesis of selected fundamental topics of electromagnetic wave theory and quantum electrodynamics (QED) and analyzes the main theoretical difficulties encountered to ensure a coherent mathematical description of the simultaneous wave-particle nature of light, put in evidence by the experiments. The notion and the role of the quantum vacuum, strongly related to light, are extensively investigated. Classical electrodynamics issued from Maxwell's equations revealed the necessity of introducing the notion of volume for an electromagnetic wave to stand entailing precise values of cut-off wavelengths to account for the shape and dimensions of the surrounding space. Conversely, in QED, light is considered to be composed of point particles disregarding the conceptual question on how the frequency of oscillating electric and magnetic fields may be attributed to a point particle. To conciliate these concepts, the book provides a comprehensive overview of the author's work, including innovative contributions on the quantization of the vector potential amplitude at a single photon state, the non-local simultaneous wave-particle mathematical representation of the photon and finally the quantum vacuum. The purpose of the advanced elaborations is to raise questions, give hints and answers, and finally aspire for further theoretical and experimental studies in order to improve our knowledge and understanding on the real essence of Light and Vacuum. In this new edition, the bibliography has been widely enriched. Improvements have been made to the various chapters, taking into account the actual status of the knowledge in this field."--Publisher's website.

This book contains the solutions of Selina(Concise) Physics and is prescribed for ICSE BOARD for 2022 examinations. It is written and edited by Amar Bhutani and Sister Juliya Rober.

From the creator of the bestselling Scaredy Squirrel series comes a hilarious, bestselling picture book everyone will be buzzing about, now in a paperback format. A bug flies through an open door into a house, through a bathroom, across a kitchen and bedroom and into a living room . . . where its entire life changes with the switch of a button. Sucked into the void of a vacuum bag, this one little bug moves through denial, bargaining, anger, despair and eventually acceptance — the five stages of grief — as it comes to terms with its fate. Will there be a light at the end of the tunnel? Will there be dust bunnies in the void? A funny, suspenseful and poignant look at the travails of a bug trapped in a vacuum.

2024-25 IAS All States PSC General Studies General Science & Science Technology Solved Papers 416 795 E. This book contains 380 solved papers and 4816 objective questions.

The basic principles are explained with examples from student's daily life situations and every topic is followed by thought-provoking questions. Relevant illustrations have been given, wherever necessary. The language used is simple and lucid which keeps the interest of the students alive till the end of the topic.