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Causality Rules (Second Edition)

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Causality: Cause and effect. In classical physics, an effect cannot occur before its cause. In Einstein's theory of special relativity, causality means that an effect cannot occur from a cause that...
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  • 24 April 2024
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Causality: Cause and effect. In classical physics, an effect cannot occur before its cause. In Einstein's theory of special relativity, causality means that an effect cannot occur from a cause that is not in the back (past) light cone of that event.

The books cover the useful physical relations inferred by unitarity and causality. A famous example is the Kramers-Kronig relation for the refractive index of a gas or dilute medium. For example, in Chapter 3 generalises the Kramers-Kronig relation to relativistic medium, such as CMB (photon gas). These relations are extensively also used in particle and nuclear physics. Especially useful are the so-called “sum rules”, such as the Gerasimov-Drell-Hearn (GDH) or the Baldin sum rule.

The author notes that the first edition is too brief. In his teaching practice, he sees that is is challenging to use as a standalone text. He intends to improve the explanations of many topics that students found particularly challenging. The additional material will make the book more timely, self-contained, and logically complete.

Key Features:

  • Modern book on a timely subject
  • Classroom friendly and built on newly developed courses taught at a major Physics Department in Germany
  • Advanced material written in simple non-technical language
  • Includes pedagogical examples and discussions of the current forefront research
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Price: £99.00
Pages: 140
Publisher: Institute of Physics Publishing
Imprint: Institute of Physics Publishing
Series: IOP ebooks
Publication Date: 24 April 2024
ISBN: 9780750334310
Format: eBook
BISACs:

SCIENCE / Physics / Optics & Light, Optical physics, SCIENCE / Physics / Quantum Theory, Quantum physics (quantum mechanics and quantum field theory)

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Causality is the relationship between a cause and its effect: an effect cannot occur before its cause. This concept is usually found in optics and electromagnetism as well as in Einstein’s theories of special and general relativity.

This book is pleasant and contains careful discussions of a large number of topics dealing with the multifaceted aspects of causality such as Kramers-Krönig relations and sum rules. The book includes many pedagogical examples such as light-by-light scattering, nonlinear optics, and dispersion of rays in cosmic microwave background. Its target audience includes undergraduate and graduate students of optics, particle physics and astrophysics.

Christian Brosseau, Optica, 23 May 2024