- #1
guillefix
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Hello, I've chosen to do my Ib extended essay, a piece of research of about 4000 words, on mathematics because I really like physics but I think I'm not very good at expreimental physics, and in order to do it on physics you needed an experiment or some kind of data. So I chosed to od it on maths, but applied to physics. Finally I've found two possible topics which I like and think they are good for an extended essay. One is the mathematics used in determining the location of a GPS receiver, and the other is about why should complex numbers be used in quantum mechanics. My supervisor and other teacher said both of them were good topics, but they were inclined for the GPS one, saying that the other one might be too complicated.
I decided to do it in GPS following their advice, altough I would continue doing research on the other topic for my own interest. Doing this research, I found this webpage http://www.scottaaronson.com/democritus/lec9.html" and since then I've thinking that I'd like to do my Extended essay on the use of complex number and the mathematical foundations of quantum mechanics, I'm researching right now, looking at the Standford lectures on Quantum mechanics on youtube, and even thought it is quite complicated, I think I'm starting to understand it. I really like the explanation on that webpage, saying that quantum mechanics is basically a generalization of classical probabilty to include negative numbers, and that complex numbers are necessary in order to time evolution to be continuous.
However, I'm still afraid that it will end up being too complicated, so I will like someone's advice, if you think it is suitable for an extended essay, and if you can recommend some sources for information it would be great.
Oh that was long Thank you for your help!
I decided to do it in GPS following their advice, altough I would continue doing research on the other topic for my own interest. Doing this research, I found this webpage http://www.scottaaronson.com/democritus/lec9.html" and since then I've thinking that I'd like to do my Extended essay on the use of complex number and the mathematical foundations of quantum mechanics, I'm researching right now, looking at the Standford lectures on Quantum mechanics on youtube, and even thought it is quite complicated, I think I'm starting to understand it. I really like the explanation on that webpage, saying that quantum mechanics is basically a generalization of classical probabilty to include negative numbers, and that complex numbers are necessary in order to time evolution to be continuous.
However, I'm still afraid that it will end up being too complicated, so I will like someone's advice, if you think it is suitable for an extended essay, and if you can recommend some sources for information it would be great.
Oh that was long Thank you for your help!
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