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Results tagged with wavefunction
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user 59717
A complex scalar field that describes a quantum mechanical system. The square of the modulus of the wave function gives the probability of the system to be found in a particular state. DO NOT USE THIS TAG for classical waves.
4
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What happens to the wave function of a particle immediately after measuring its energy if de...
For this question, I will be adhering to the Copenhagen interpretation (since that's what I've learned in university so far). For the sake of brevity/clarity, also, assume the Hamiltonian here has fin …
- 169
0
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1
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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
1
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2
answers
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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
0
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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 …
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