经典力学教学课件电子教案全套课件.pptxVIP

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经典力学教学课件电子教案全套课件.pptx

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Classical MechanicsClassical Mechanics – only one PATH! Quantum Mechanics – all PATHS!Quantum Mechanics If you have a wave, then you would have a wave equation!How to handle these waves (PATHS)?The obey MY equation! Time dependent Schrodinger EquationMy dear Quantum, Why don’t stop this blabbering!??If you know Y(x,0) then you can calculate Y(x,t)! Time Independent Schr?dinger EquationSpecial Solutions: Stationary States One dimensional problem Electronic K.EInteractionNuclear K.Ethree dimensional problem This is quite General!Energy is the sum! Wave function is the product! Hydrogen Atom Change to polar co-ordinatesFor relative motion, Change to center of mass co-ordinates Variables can be separated!xYZ What is the use? He cannot solve even the old one! Electromagnetic WavesXZYl There he goes, again! Interaction of light with ethyl chlorideH = Ho + H1 (H1 is time dependent on/off)H0 is the electromagnetic field within the molecule (3.0E21 volt/m)H1 is the electromagnetic field from the radiation (3.0E13 volt/m)8 orders of magnitude less Induced AbsorptionInduced EmissionAlso, hn = D E Spontaneous emissionThe two rates are EQUAL - Put the molecule into a cavity - Populations have to become equal! It will VIOLATE Boltzman distribution!So there must be SPONTANEOUS EMISSIONInduced AbsorptionInduced Emission Energy of MoleculesMolecule(or animals) Born-OppenheimerApproximation Born Oppenheimer approximationSumo WrestlersSeparation of time scales Electronic absorption in UV-Vis region Vibrational transitions in IR regionElectronic+VibrationaltransitionsVibrational transition Few cm-1Rotational transitions in MicrowaveOne can have purely rotational or, vibrational+rotational Electronic+vibrational+rotationaltransitions