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Results tagged with homework-and-exercises
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user 59717
Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.
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Special relativity; spaceship moving towards a planet [closed]
A spacecraft starts travelling from Earth, moving at constant speed, towards a yet-to-be-discovered planet, which is $20$ light hours away from Earth. It takes $25$ hours (according to an Earth-bas …
- 169
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Normalizing a wave function [closed]
A particle with mass $m$ is moving in one dimension. The wave function of the particle is
$$\Psi(x,t)=Axe^{-(\sqrt{km}/2\hbar)x^2}e^{-i\sqrt{k/m}(3/2)t}$$
for $-\infty<x<\infty$, where $k$ and $A$ ar …
- 169
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Normalized wave functions in position and momentum space
Using the following expression for the Dirac delta function: $$\delta(k-k')=\frac{1}{2\pi}\int_{-\infty}^{\infty}e^{i(k-k')x}\mathrm{d}x$$
show that if $\Psi(x,t)$ is normalized at time $t=0$, then t …
- 169
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A wave function that is normalized initially remains normalized
Suppose that $\Psi(x,t)$ is normalized at time $t=0$. Show that this implies that $\Psi(x,t)$ is normalized at all other times.
I know that this makes intuitive sense, and we'd certainly want our …
- 169