MIT 8.04 Quantum Physics I, Spring 2016 View the complete course: ocw.mit.edu/8-04S16 Instructor: Barton Zwiebach License: Creative Commons BY-NC-SA More information at ocw.mit.edu/terms More courses at ocw.mit.edu
No where literally nowhere anybody explained HO in this way. He gave reasons for every single step which I always wondered why we do like that! Pure beauty.
I often wonder if physics at top universities are easier because I find myself constantly coming here for a better explaination. Even the lecture notes online help me with my tutorials and assignments
dang, didn't realize until now he actually wrote the schrodinger's equation in a much cleaner fashion that's mathematically this much easier to read, and I can see the concepts this much more easily! Not the most important when it comes to solving the problem but in terms of arithmetics things get cleaned up very nicely!
Can anyone expand upon the statement around 3:40 that the first derivative in the Taylor series going to zero at a minimum will leave the Taylor approximation of the potential looking like a quadratic? Is this just assuming that cubed and higher terms fall off fast? Why can you assume that?
Can someone please explain why a^2=h/mw is actually used? It's obtained by equating the units right? So the correct form must be a^2 = r. h/mw right, where r is some number?
[E]=[h^2/ma^2] = [mw^2x^2]. Equate the two expressions for [E]. You will get h^2/m^2w^2 = x^2.a^2 . As we talking dimensionally, x and a have the same dimensions of length. Therefore they can be treated as equal and the RHS becomes a^4, and therefore a^2 = h/mw.
[E]=[h^2/ma^2] = [mw^2x^2]. Equate the two expressions for [E]. You will get h^2/m^2w^2 = x^2.a^2 . As we talking dimensionally, x and a have the same dimensions of length. Therefore they can be treated as equal and the RHS becomes a^4, and therefore a^2 = h/mw.
@@ShubhamSingh-lz1mb whats the tradeoff from equating [h^2/ma^2] = [mw^2x^2], we know the dimension is energy but certainly h^2 posses a value since its a constant, and we know dimension shouldnt have a definite value (its like a variable)
