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Quantum Physics - UCLA

Quantum PhysicsEric D HokerDepartment of Physics and Astronomy,University of California, Los Angeles, CA 90095, USA15 September 20121 Contents1 Brief History .. Constants of Nature .. Scales .. Reductionism .. 152 Two-state Quantum Polarization of light .. Polarization of photons .. General parametrization of the polarization of light .. Mathematical formulation of the photon system .. The Stern-Gerlach experiment on electron spin .. 223 Mathematical Formalism of Quantum Hilbert spaces .. Triangle and Schwarz Inequalities .. The construction of an orthonormal basis .. Decomposition of an arbitrary vector .. Finite-dimensional Hilbert spaces .. Infinite-dimensional Hilbert spaces .. Linear operators on Hilbert space .. Operators in finite-dimensional Hilbert spaces .. Operators in infinite-dimensional Hilbert spaces.

Quantum Physics Eric D’Hoker Department of Physics and Astronomy, University of California, Los Angeles, CA 90095, USA 15 September 2012 1

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