Beginning with the background of the physics and mathematics of harmonic oscillators, the basic language for quantum mechanics and quantum optics is presented. As two-coupled oscillators lead to the mathematics of the Lorentz group, this book discusses the Lorentz group for optical instruments, Wigner functions and quantum entanglements, as well as specifically addressing how the Lorentz group can be used for fundamental issues in quantum optics and in quantum mechanics.
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