Mathematical devices for optical sciences

Mathematical devices for optical sciences

by Bașkal, Sibel

Type Book
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"The Lorentz group which is the underlying scientific language for modern optics has been most notably used for understanding Einstein's special relativity. By using a simplified approach of two-by-two matrices and Wigner functions, this book provides a basic and novel approach to classical and quantum optics, making these often-difficult subjects more transparent to the reader. Written by three experts in the field, Professors Sibel Baðskal, Young S. Kim, and Marilyn E Noz, this book will give…

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Title Statements

  • Full title :Mathematical devices for optical sciences / Sibel Baðskal, Young S. Kim, Marilyn E. Noz.

Summary

"The Lorentz group which is the underlying scientific language for modern optics has been most notably used for understanding Einstein's special relativity. By using a simplified approach of two-by-two matrices and Wigner functions, this book provides a basic and novel approach to classical and quantum optics, making these often-difficult subjects more transparent to the reader. Written by three experts in the field, Professors Sibel Baðskal, Young S. Kim, and Marilyn E Noz, this book will give the reader a comprehensive overview of how fundamental issues in quantum mechanics can be approached using various optical instruments, Wigner functions, and quantum entanglement." -- Prové de l'editor.

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Edition Statements

  • Publication Date:2019

Publication Statements

  • Publisher(s):IOP Publishing
  • Place of Publication:Bristol [England]
  • Language:eng
  • Publication Date:2019

Notes

"Version: 20190601"--Title page verso.

The Physical Object

  • Description:1 recurs en línia (1 recurs en línia (paginació múltiple) :) : il·lustracions (principalment en color).

Edition Identifiers

  • ISBN:9780750316149, 0750316144, 9780750316132, 0750316136
  • DOI:10.1088/2053-2563/aafe78
  • oclc:on1237858737
  • LC Classification:P2E

Table of Contents

Conté: 1. Forms of quantum mechanics -- 1.1. The Schrèodinger and Heisenberg pictures -- 1.2. Interaction picture -- 1.3. Density-matrix formulation of quantum mechanics -- 1.4. Further contents of Heisenberg's commutation relations -- 2. Lorentz group and its representations -- 2.1. Lie algebra of the Lorentz group -- 2.2. Two-by-two representation of the Lorentz group -- 2.3. Four-vectors in the two-by-two representation -- 2.4. Transformation properties in the two-by-two representation -- 2.5. Subgroups of the Lorentz group -- 2.6. Decompositions of the Sp(2) matrices -- 2.7. Bilinear conformal representation of the Lorentz group -- 3. Internal space-time symmetries -- 3.1. Wigner's little groups -- 3.2. Little groups in the light-cone coordinate system -- 3.3. Two-by-two representation of the little groups -- 3.4. One expression with three branches -- 3.5. Classical damped oscillators -- 4. Photons and neutrinos in the relativistic world of Maxwell and Wigner -- 4.1. The Lorentz group and Wigner's little groups -- 4.2. Massive and massless particles -- 4.3. Polarization of massless neutrinos -- 4.4. Scalars, vectors, tensors, and the polarization of photons -- 5. Wigner functi…

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