### Light And Vacuum: The Wave-particle Nature Of The Light And The Quantum Vacuum Through The Coupling Of Electromagnetic Theory And Quantum Electrodynamics

##### The Wave￢ﾀﾓParticle Nature of the Light and the Quantum Vacuum through the Coupling of Electromagnetic Theory and Quantum Electrodynamics

#### Constantin Meis

#### $64.00

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### Description

*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:**

- Introduction
- Historical Survey and Experimental Evidence
- Basic Principles of the Electromagnetic Wave Theory
- From Electromagnetic Waves to Quantum Electrodynamics
- Theory, Experiments and Questions
- Analysis of the Electromagnetic Field Quantization Process and the Photon Vector Potential. The Non-Local Photon Wave-Particle Representation and the Quantum Vacuum
- Epilogue

**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
*α*_{0k}(*ω*) =_{k}*ξω*, which derives directly from Maxwell's equations, is uniquely described in this manuscript_{k} - A 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 evidence
- The 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 electrons