![]() ![]() Lastly, I know talking about the formalism is tedious and boring, but so is brushing your teeth and exercising. If you’re unfamiliar with the formal notation (besides the bra-ket and anything we’ve introduced up to this point), check out my article Approaches to Proving Statements in Mathematics. I recommend looking through the exercises in the Check Your Understanding section to figure these ideas out. Do not confuse the examples and proofs for the ideas you should take away from this article. ![]() I’m covering many abstract topics, so I’m going to use a lot of examples and a lot of proofs. Using the formalism of Quantum Mechanics within Classical Mechanics should also make it easier for you to compare and contrast Classical Mechanics with Quantum Mechanics. I don’t expect you to understand everything immediately, but I’m hoping that planting the ideas in your mind will make it easier to read future articles. Just as how a vaccine exposes you to a weakened virus (or a part of the virus) so that you may build up an immune response to the real virus, introducing you to a simplified, Classical version of a topic will allow you to build up an understanding that will allow you to face the Quantum version. Previous Article (The last two articles didn’t get as much love from the algorithm, so make sure to check them out.).I’m going to introduce key parts of the formalism of Quantum Mechanics in the context of Classical Mechanics. Shankar and Sakurai) start with the formalism before immediately talking about Quantum Mechanics. Griffiths) wait until the reader has done some work with Quantum Mechanics before introducing the formalism. This article is part 6 in The Road to Quantum Mechanics series. ![]()
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