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DanielLC comments on Open Thread April 8 - April 14 2014 - Less Wrong Discussion
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If you have specific questions to ask, I'd be happy to answer them.
"Amplitude" just refers to a complex number corresponding to a given point in configuration space. The Schrödinger equation specifies how the field of these complex numbers evolves over time. The probability of being in a particular configuration is proportional to the square of this amplitude. Does that help?