L1 - The Schroedinger Equation Diracs statement about exact...

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http://angstrom.ucdavis.edu/ Giulia Galli gagalli@ucdavis.edu Physical Chemistry Nanoscience and Materials Science High Pressure Physics Introduction to Quantum Mechanics
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Introduction to Quantum Mechanics Why would you want to study quantum mechanics? In most cases counterintuitive Difficult Formal statements/Math
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Physical Chemistry Nanoscience and Materials Science High Pressure Physics Introduction to Quantum Mechanics Why? To understand matter at the microscopic scale: molecules, solids, nanostructures . .. the whole chemistry
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The beginning of quantum theory: Key experiments Key experimental evidence casting doubts on the ability of classical physics to explain some natural phenomena Blackbody Radiation : Planck constant and Planck distribution law for black body radiation Photoelectric effect : Einstein and the threshold frequency Hydrogen atom spectrum : Rydberg series
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The beginning of quantum theory : early postulates — Wave-particle duality of light (De Broglie) —Quantization of momentum and Bohr theory of hydrogen atom —Heisenberg uncertainty principle
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Unformatted text preview: The Schroedinger Equation Diracs statement about exact solutions still holds: we do not know how to solve the Schoedinger equation exactly for many body systems. The Equations: The underlying physical laws necessary for the mathematical theory of part of physics and the whole chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble P.A.M. Dirac ih | ! > = H | ! > The Schroedinger equation and foundation of quantum mechanics The classical wave equation (e.g. to describe a vibrating membrane) The Schroedinger equation Postulates and general principles Specifc systems and problems Harmonic Ocillator Hydrogen Atom Multielectron atoms Diatomic molecules Black body radiation The temperature of a certain type of lava ow can be estimated by observing its color. The result agrees well with the measured temperatures of lava ows at about 1,000 to 1,200 C....
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L1 - The Schroedinger Equation Diracs statement about exact...

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