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by programd 2569 days ago
The math behind Quantum Mechanics is surprisingly simple, mostly just the linear algebra you learned in High School with some fun Greek symbols thrown in. (I'm convinced mathematicians just can't help themselves with tossing in more Greek letters just so the papers look more impressive)

In any event check out "The Mathematics of Quantum Mechanics" by Martin Laforest [1]. Free PDF online, totally readable and easy to follow with typical High School math background.

[1] https://uwaterloo.ca/institute-for-quantum-computing/sites/c...

1 comments

From that link: “But what about when we want to describe physical quantities that have continuous values, such as the position of a particle along a line? In this case, we need a vector space of infinite and continuous dimension. Turns out that it’s possible to define a Hilbert space on the set of continuous functions, e.g., f (x) = x3 + 2x + 1. This is referred to as “wave mechanics” and we won’t cover it in this book.”