Recent content by pat1enc3_17

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    How to prove gradients vectors are the same in polar and cartesian co.

    hey, i did it in some theoretical physics exercise years past google it, if you don't find any i can summarize it, i think, anyway the derivation is, as i remember straith forwards, based on line-elements and the chain rule... even its a 1-2 pages calculation
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    Is it wrong? (A theorem of limits)

    I would solve this with L’Hospital's rule \begin{align} \frac{f(x)}{g(x)}:= \frac{sin(x)}{x}\qquad \text{ since}\quad g'(x)\neq 0, \end{align} it follows with L’Hospital's rule \begin{align} \lim_{x\rightarrow 0}\frac{f(x)}{g(x)}=\lim_{x\rightarrow 0}\frac{f'(x)}{g'(x)}...
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    Fourier Series Convergence Criterion

    hey i would say: the 2nd $F(x)$ is just a way you can define those $F(x)$, so $F(x) = \Theta(x)$, if $\Theta$ is continues, say at the Intervals $I_i$, $i\in\mathbb R$ on the intervals $I_i$ you connect the ends on the lefthandside and on the righthandside so that is linear, so for...
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    Music Music transition in the past decade

    well, i would consider, that the band around the solo artist always was there, they are just got discoverd like, Rajesh discoverd the planetary object beyond the Kuiper belt, 2008 NQ17, how Sheldon said ;) i think the band gets more recognition atm then maybe 10 years past
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    Separation of the centre of mass motion

    tks for the quick reply! to answer #1: "The total momentum is the generator of translations of the system as a whole" can you outline this a bit pls. If i get that right, if I have a point $b$ in the spectrum, so cause the corresponding eigenfunctions d not change under translation, so i...
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    Separation of the centre of mass motion

    hey I got a questions and appreciate obv any reply. I am regarding to Capitel 12, page 128ff. from Gustafson, Sigal; Mathematical Concepts for Quantum Mechanics. So, let's consider on $L^2(\mathbb R^n)$ \begin{align} H_n= \sum_{j=1}^n \frac{1}{2 m_j} p_j^2 +V(x) \end{align} where...
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    Exam-information math.-qm.-phys

    Hey there Im preparing for an oral exam in mathematical quantum physics. not sure if this fits in here very well. but anyway, anybody had some in exams in the past? and probably give me some hints what is important, what should I know. And are there any classical questions? my...
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