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Introduction to QED Quantum Electrodynamics Part II
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Recap Describes what happens, not why Light behaves like particles, not waves Only probability can be calculated Little arrows (“probability amplitudes”)
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General Principle of Quantum Theory The probability that a particular event occurs is the square of a final arrow (probability amplitude) that is found by drawing an arrow for each way the event could happen, and then combining (adding) the arrows.
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Compound Events Events that can be broken down into a series of steps, or events that consist of a number of things happening independently Multiplication of probability amplitudes “turning and shrinking”
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Partial Reflection of Multiple Surfaces
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Multiplying Arrows Expressed as a transformation of the unit line
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Successive Transformations Transformations can be applied in succession Work just like the rules for numbers
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Successive Transformations
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Reflection by a Single Surface
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Transmission by a Single Surface
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Reflection from the Back Surface
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Reflection by Two Surfaces Average of 8% (4% each for front and back surfaces) Fluctuates between 0% and 16%, depending on the thickness of the glass The rest are transmitted
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Transmission by Two Surfaces
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Making the Sum Probabilities 100% When reflection is 0%, sum is 92% When reflection is 16%, sum is 108% Compensate by considering all possibilities
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Other Possibilities
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100% Probability
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More Reflection Possibilities
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Independent Events If one of the ways a particular event can happen depends on a number of things happening independently, the amplitude for this way is calculated by multiplying the arrows of the independent things.
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Simultaneous Transmission and Absorption
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Another Possibility
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Coming Soon… Electron interactions Feynman Diagrams
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Diagrams: Feynman, Richard P. QED: The Strange Theory of Light and Matter. Princeton University Press. Princeton, NJ, 1988.
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Questions?
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