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/sci/ - Science & Math

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7069371 No.7069371 [Reply] [Original]

Why is hydrogen energy eingenstates stationary states, but have non zero probability density?

didn't we just say they're stationary?

>> No.7069373

probability current density* sorry.

>> No.7069442

"Stationary state" only means that the probability density remains constant over time.

>> No.7069445

On an unrelated note, OP's pic gets me incredibly hard

>> No.7069479

What the fuck are you guys talking about. I don't understand. I feel stupid.

>> No.7070039

>>7069479
it's quantum mechanics and the solution of the schrödinger equation for the hydrogen atom.

>> No.7070040

>>7069371
>schrödinger equation
>not Dirac equation

You guys are so pleb it's not even funny

>> No.7071789

>>7070040
the solution of the dirac equation isn't even a wavefunction. its norm squared isn't even a probability density, and nobody is actually annoyed by that.

>> No.7071797

>>7071789
It's mathematically a little more complicated than Schrödinger's equation, but sure you can solve the Hydrogen atom just as well with Dirac equation and even get a few effects that you won't get with Schrödinger's equation, like Lamb shift.