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Some Concepts for Exam 2 

Some Concepts for Exam 2 - Schrödinger equation...

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Physics 6 Spring 2006 Some concepts covered since first exam Blackbody radiation Wien’s Law Ultraviolet catastrophe Planck’s quantum Photoelectric effect Einstein’s photon Particle kinetic energy (non-relativistic) E = ½ m v 2 or E= p 2 / 2m = (p c) 2 / 2mc 2 [Hints for calculating numbers: Given velocity in meter/sec & mass in Kg this first form of the equation gives energy in Joules. Given momentum in eV sec/meter, as the deBroglie relation could give, then p c is easier to use – it will be in eV – and the last form of the equation will give (eV) 2 / eV or just eV units.] Photon energy E = h f Power of light and photons (watt = Joule/sec) EM waves λ = c/ f true for photons but not massive particles Atomic spectra What is wrong with Rutherford’s classical planetary model? Bohr model of atom Quantized orbits, discrete energies & quantum numbers deBroglie waves λ = h/p wave-particle duality particle in one-dimensional box wavelengths, quantum numbers, discrete momenta and energies
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Unformatted text preview: Schrödinger equation: Wavefunction Ψ- wave modes or states Allowed wavelengths Quantum numbers Quantized energies Energy level diagrams Hydrogen atom (QM vs. Bohr model) One dimensional box or tube – allowed wavelength, momentum, kinetic energy Transitions, energy level diagrams and photon emission or absorption Probability Mutually exclusive or independent Coin tosses, dice rolls, random processes Copenhagen Interpretation of Quantum Mechanics Ψ (x,t) (wave function or probability amplitude) and | Ψ (x,t)| 2 (probability density) What is observed? Heisenberg Uncertainty Relation Double slit experiment Schrödinger's cat experiment Collapse of the wavefunction Spin of electron and other particles Pauli exclusion principle The play “Copenhagen” Why did Bohr and Heisenberg meet? What was Margrethe’s role? What was the importance of the diffusion equation? See PowerPoint slides for more questions...
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