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Category: Uncategorised

Imaginary numbers in Quantum mechanics?

Well most of us have heard that you cannot take the square root of $-1$, however, you can easily define a new number, called $i$, to be just that. In equations, $i=\sqrt{-1}$. Seems like fun, but what does it mean for the real world? Well, everything, almost. Remember the discussion about superpositions? There we said […]

A superposition

At the heart of quantum mechanics is the super awesome superposition. Pretty much all of the weirdness of quantum mechanics is due to superpositions. Ever heard of Schrödingers cat? When we speak of objects, we generally classify them by their possible states. for example, a cat is either dead or alive, $|\textrm{dead}\rangle$ or $|textrm{alive}\rangle$. A […]

Notation notation notation!

Last time you wrote down an equation you probably used some mathematical symbols to represent operations and objects. Sure, you would say, it does not seem like much. After all, you learnt how to do this at school. But this notation has been developed over the course of thousands of years, and is what allows […]

The Stern-Gerlach experiment

The Stern Gerlach Experiment

The experiment carried out by Otto Stern and Walther Gerlach was originally designed to test the “space quantization” theory of Niels Bohr, which got replaced with quantum mechanics soon afterwards. The experiment supported the predictions of the Bohr model of the atom, but really it demonstrated the quantization of angular momentum, and remains an important […]