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Results tagged with schroedinger-equation
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user 27232
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.
2
votes
2
answers
735
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Can the wave function of the hydrogen atom be written as a superposition of plane waves with...
The solutions of the Schrödinger equation for a hydrogen atom have definite energy. Does this mean that they could be written as a superposition of plane waves of a single frequency - corresponding to …
- 2,598
1
vote
Accepted
Why does a force field leave the momentum operator unchanged in the Schrödinger equation?
I found a proof that the momentum operator does not change when the wave it operates upon is not a plane wave:
Let $\phi(k) = \frac{1}{2\pi}\int\limits_{-\infty}^{\infty}e^{-ikx}\psi(x)dx$
be the Fo …
- 2,598
5
votes
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Why does a force field leave the momentum operator unchanged in the Schrödinger equation?
The reasoning leading to the Schrödinger equation goes as follows:
A plane wave in empty space has the following form:
$$\psi = e^{i(kx-\omega t)}$$
Einstein had previously explained the photoelect …
- 2,598