Linked Questions
11 questions linked to/from Can a quasiclassical electron wave packet in elliptic orbit be formed from bound hydrogen-like eigenstates?
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Can the Schrodinger equation describe planetary motion? [duplicate]
I was asked on an exam whether the Schrodinger equation can be used to describe planetary motion and my answer was "No, because the solutions are wavefunctions which give probabilities but everything ...
47
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5
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Is there oscillating charge in a hydrogen atom?
In another post, I claimed that there was obviously an oscillating charge in a hydrogen atom when you took the superposition of a 1s and a 2p state. One of the respected members of this community (...
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How do you solve classical mechanics problems with quantum mechanics?
Let's take the very simple problem of what happens if I drop a 1 kg ball from a height of 1 meter. Classically, $F = mg$ and $g \approx 10 \frac{\mathrm{m}}{\mathrm{s}^2}$, so the ball feels a force ...
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3
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Is there any time-dependent hydrogen atom Schrödinger equation, solvable analytically?
It's well-known that hydrogen atom described by time-independent Schrödinger equation (neglecting any relativistic effects) is completely solvable analytically.
But are any initial value problems for ...
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Particle in 1D Infinite potential well = a ball
Here are the two equations I'm concerned with:
$$\Psi = \sqrt{\frac2a}\sin\left(n\frac{\pi x}a\right)$$
$$E = n^{2}\frac{\hbar^2π^2}{2ma^2}.$$
If we have a ball with mass 1 kg, confined in a 1 m ...
3
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5
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Would a high energy Hydrogen atom start emanating electromagnetic radiation?
We know that the total energy of the hydrogen atom is proportional to the inverse of the square of the principal quantum number $n$:
$$E_n \propto -\frac{1}{n^2}$$
So at high quantum numbers the ...
2
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2
answers
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Why is the Time Independent Schrodinger Equation so important? [closed]
The main equation of Quantum Mechanics (QM) is the Schrodinger Equation (SE):
$$i\hbar\frac{\partial \psi (x,t)}{\partial t}=H(x,t)\psi(x,t)$$
Why is this equation so important? It's important because ...
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Kepler's law of motion in hydrogen atom [closed]
It is from my homework question (my question is not about the answer of the question),
In the hydrogen atom $H$, an electron and a proton attract each other with the electric force and form a bounded ...
3
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3
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How to understand electron trajectories in a probabilistic model?
I recently stumbled upon the definition of a Relativistic particle:
A relativistic particle is a particle which moves with a relativistic speed; that is, a speed ...
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1
answer
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Wavepacket for hydrogen atom?
We normally observe classical behaviour due to the time dependent schrodinger equation in simple quantum systems when we introduce 'Gaussian wavepackets' which have bell shaped uncertainty in energy, ...
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answer
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Is there instantaneous communication inside a quantum entity?
This question also stems from Anna's answer here: https://physics.stackexchange.com/a/578929/230132
Quoting her, she says an electron bound to a nucleus is not a quantum entity, the entire atom is. ...