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Equilibrium Statistical Mechanics of Matter Interacting with the Quantized Radiation Field

Klaus Hepp, Élliott H. Lieb

Springer eBooksJan 1, 20049 citations

Quantization of the Electromagnetic Field. Interaction of Radiation with Matter

Francisco J. Ynduráin

Springer eBooksJan 1, 19960 citations

The Quantum Theory of the Interaction of Radiation with Matter

Elsevier eBooksJan 1, 19690 citations

Time-Dependent Perturbations. Field Quantization and Second Quantization

Ana Marı́a Cetto, Luis de la Peña

Chapter 17 begins by approaching the general problem of a quantum system subject to a time-dependent perturbation. We then apply perturbation theory to the interaction of atomic matter with the radiation field and derive the most important radiative corrections. Atomic transitions – both induced and spontaneous – are discussed in detail, with some important applications. The formal introduction of field quantization allows us to make contact with quantum electrodynamics and quantum optics and discuss the Jaynes–Cummings model. Stochastic electrodynamics, in which the matter–field interaction is not a perturbation but is present ab initio, is used to explain atomic stability and its breakdown leading to radiative transitions. In the same spirit, the quantization of the field is physically justified by deriving the conventionally postulated field operators and their basic commutators. The chapter ends with a brief introduction to second quantization, an elegant and powerful formalism for describing and analyzing quantum many-body systems.Chapter 17 begins by approaching the general problem of a quantum system subject to a time-dependent perturbation. We then apply perturbation theory to the interaction of atomic matter with the radiation field and derive the most important radiative corrections. Atomic transitions – both induced and spontaneous – are discussed in detail, with some important applications. The formal introduction of field quantization allows us to make contact with quantum electrodynamics and quantum optics and discuss the Jaynes–Cummings model. Stochastic electrodynamics, in which the matter–field interaction is not a perturbation but is present ab initio, is used to explain atomic stability and its breakdown leading to radiative transitions. In the same spirit, the quantization of the field is physically justified by deriving the conventionally postulated field operators and their basic commutators. The chapter ends with a brief introduction to second quantization, an elegant and powerful formalism for describing and analyzing quantum many-body systems.

Cambridge University Press eBooksDec 18, 20250 citations

Quantum Theory: An Approach Quantized on its Evolution - Part I

Fernanda K. C. Félix, Pedro G. B. Bonfim, Lucas Samuel Soares dos Santos +1 more

The Interest in the interaction of electromagnetic radiation with matter was the first impulse to structure a series of formulas, postulates and theories that would become the foundation for quantum physics.Under the shadow of statistical determinism, in the XIX and XX centuries, started the studies on the blackbody radiation, a consequent reformulation of various theories of classical physics and the introduction of the concepts of energy quantization, radiation and particles.This article will deal, briefly and chronologically, with the evolution of the old quantum theory.The Interest in the interaction of electromagnetic radiation with matter was the first impulse to structure a series of formulas, postulates and theories that would become the foundation for quantum physics.Under the shadow of statistical determinism, in the XIX and XX centuries, started the studies on the blackbody radiation, a consequent reformulation of various theories of classical physics and the introduction of the concepts of energy quantization, radiation and particles.This article will deal, briefly and chronologically, with the evolution of the old quantum theory.

Revista Virtual de QuímicaJan 1, 20160 citations

The Quantum Theory of Radiation and its Interaction with Matter

Ajoy Kumar Ghatak, S. Lokanathan

Springer eBooksJan 1, 20040 citations

General Group Structure of the Interaction of Matter with Quantized Radiation and its Applications

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