I'm starting a series on "Quantum Mechanics Basics". Feel free to comment with any questions about the posted material. Be sure to stay tuned and enjoy!pic.twitter.com/NHmeD3kR4H
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Quantum Mechanics Basics #2: Completeness. Here I go over the notion of "completeness", using the familiar standard basis for ℝ³, and making use of our new QM vector notation introduced in QM Basics #1. Equation (2) is extremely important and we will use it time and time again.pic.twitter.com/JfI3SKgUOC
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Quantum Mechanics Basics #3: Wave Functions & Probabilities.pic.twitter.com/vMcSNzlKoJ
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It should be noted that, for pedagogical purposes, I say that |<x|ψ>|^2 is the probability that the particle *at* position x. Since x is a continuous variable, the gory truth is actually that "|<x|ψ>|^2*dx is the probability that the particle lies in the interval [x, x+dx]"
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Quantum Mechanics Basics #3(a): Example and Application of Wave Functions & Probabilitiespic.twitter.com/xYQuYIQb12
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Quantum Mechanics Basics #4: The Schrödinger Equation & Time Evolutionpic.twitter.com/vNDomHkrew
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End of conversation
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Not necessarily finite dimensional!! Both discrete and continuous!
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