julian's latest activity
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Jjulian replied to the thread Does this series converge uniformly?.To show that ##\sin (\frac{n^2}{n+a} x)## has partially bounded sums for ##x \in [1,2]##: Write \begin{align*} \frac{n^2}{n+a} = n - a...
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Jjulian replied to the thread Help with Time-Independent Perturbation Theory "Good" States Proof.To show that ##\psi_a^0## and ##\psi_b^0## span the space, we must prove they are linearly independent. Suppose \begin{align*} \kappa...
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Jjulian replied to the thread Help with Time-Independent Perturbation Theory "Good" States Proof.If ##\gamma = \mu##, then you don’t necessarily have ##\langle \psi_a^0 , \psi_\gamma (0) \rangle = 0##.