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This book explains the Lorentz mathematical group in a language familiar to physicists. This new edition extends applications to optical sciences and includes five new chapters on applications in statistical physics, condensed matter physics. quantum optics and quantum information and artificial intelligence.
Modern optics is the physics of two-by-two matrices and harmonic oscillators. The one- and two-photon coherent states are based on the mathematics of harmonic oscillators. This comprehensive book examines the mathematical details of how two-by-two matrices, Wigner functions and the Lorentz group can be implemented in classical and quantum optics.
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