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20 Dec 2021 06:26:07 UTC
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Introduction to Probability Theory for Quantum Mechanics [ Intro to QM #2 ]
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Today we do an introduction to basic stochastics in quantum mechanics. We drag all important rules from discrete random variables over to continuous ones. We start of with the law of big numbers by rolling dice in python, talk about how probabilities come together and also discuss this in an urn model. We draw tree diagrams and talk about the path rules leading to the normalization on functions, meaning the total probability is 1. We also motivate Averages / Mean / Expected / Expectation Value and also see what the variance and standard deviation are. Enjoy! =D

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0:00 Introduction
1:22 Law of Large Numbers
3:39 What are Probabilities?
8:27 Tree Diagrams and Path Rules
14:16 Total Probability
16:11 Mean / Average / Expected Value
20:23 Variance / Standard Deviation
22:56 Continuous Counterparts
...
https://www.youtube.com/watch?v=OWT_jYia10E
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English
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