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Results tagged with schroedinger-equation
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user 7187
Partial differential equation which describes the time evolution of the wavefunction of a quantum system. It is one of the first and most fundamental equations of quantum mechanics.
5
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2
answers
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Why are scattering matrices unitary?
In Griffith's QM book, he introduces scattering matrices as an end-of-the-chapter Problem 2.52.
For a Dirac-Delta potential $V(x) = \alpha \delta (x - x_0)$, I've derived the scattering matrix and ob …
- 1,681
29
votes
4
answers
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Continuity & smoothness of wave function
Is there anything physical that enforces the wave function to be $C^2$? Are weak solutions to the Schrödinger equation physical? I am reading the beginning chapters of Griffiths and he doesn't mention …
- 1,681
17
votes
1
answer
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3D Delta Potential Well
The 1D delta potential well $V(x) = -A\delta(x - a)$ always has exactly one bound state. The same is true for the 3D delta potential well $V(\vec{r}) = -A\delta(\vec{r}-\vec{a})$. I can show this for …
- 1,681