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First, I would say that, if your science and math teachers are anything like mine were, they probably don't know a thing about quantum mechanics, and therefore will not be able to provide much help. I read a little on Aaronson's website, and I think he makes some interesting points. On the other hand, he himself says he is not discussing quantum mechanics from the physicist's point of view, or even the mathematician's point of view.
Though he seems to be much smarter than me, I disagree with him when he says quantum mechanics isn't a physical theory in the same way as electromagnetism and general relativity are. Anyway, I don't want to get a debate started about that. One simple reason that quantum mechanics involves complex numbers is because some of the solutions to the Schrodinger Equation involve complex numbers.
Is there something deeply philosophical about this, or is it just how our system of mathematics made everything work out? I think, in general, mathematics has an interesting role in quantum mechanics, not just the portion dealing with complex numbers. Note that we can only measure operators which have real expected values.
Unfortunately, to really even begin a coherent discussion about the role of mathematics, you would need to at least understand quantum mechanics at the level of an advanced undergraduate course; meaning, you would need a lot of prerequisite work basic physics, differential and integral calculus of multiple variables, differential equations, linear algebra, some probability theory wouldn't hurt, etc.
I am not trying to discourage you, but you are treading into deep waters, and it will be easy to get lost or discouraged. These are certainly great questions to think about, but I don't know that you know enough about quantum mechanics or have the time to learn enough quantum mechanics to write a strong essay about them.
Have you thought about discussing the general effectiveness of mathematics in the physical sciences? It is a broad topic, yes, but there are many different points-of-view on the topic, and you could pick one and analyze it.
Also, it would be much less technical in nature than any discussion of mathematics in quantum mechanics.
Writing it over a historical topic isn't a bad idea, either. I also did that. I hope this helps.Please help me with a topic for my physics extended essay for school (barnweddingvt.coms) submitted 5 years ago by pleasehelpanoob Basically the extended essay .
I want to use the Extended Essay as an opportunity to learn more about what I´m interested in - Quantum mechanics - beyond what popular science. Essay about Quantum Mechanics Quantum mechanics (QM; also known as quantum physics, or quantum theory) is a fundamental branch of physics which deals with physical phenomena atnanoscopic scales, where the action is on the order of the Planck constant.
Nov 08, · I was wondering if there are any possible physics topics to do on the extended essay for Topics for Physics Extended Essay the quantum mechanics to. Classical mechanics has also been extended The application of quantum mechanics to chemistry is known as quantum chemistry.
Quantum mechanics can also. Abstract. The work can be considered as an essay on mathematical and conceptual structure of nonrelativistic quantum mechanics (QM) which is related here to some other (more general, but also to more special – “approximative”) theories.