All Questions
11 questions
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Stability with the Variational Principle
In quantum mechanics you can use the variational principle to find an approximate bound to the energy of some state. My lecturer said that with this method the stability of an $H_2$ atom and a $H^+$ ...
1
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1
answer
94
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Why are orbitals are stable even though they have wierd shapes?
I'm curious to know about why are they stable, let's talk about $p$-orbital , $p$-orbital is dumbbell shaped shouldn't electrons just fall into the nucleus because we need a centrifugal force to ...
6
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2
answers
251
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Were there any explanations as for the stability of matter before the advent of quantum mechanics?
Reading the paper by Lieb "The stability of matter", it is clear from the start that quantum mechanics is absolutely necessary to solve this problem. However, I assume this question was ...
- 3,638
2
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1
answer
111
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Are atoms still unstable in 4 spatial dimensions when the physical size of nuclei is accounted for?
Per this answer, depending on a dimensionless parameter hydrogen atoms in 4 spatial dimensions can be either unbound (i.e., nonexistent), stably bound dependent on boundary conditions, or unstable ...
- 2,286
4
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1
answer
120
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How to show that an atomic Hamiltonian spectrum is lower-bounded?
I'm looking for a proof that the spectrum of an atomic (or molecular) Hamiltonian is lower-bounded.
Right now, the closest I've got is the proof in [1] that the spectrum of a second-order elliptic PDE ...
- 169
0
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3
answers
497
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Planetary model of the atom
Wherever I look about the early planetary model of the atom, it says the electron must lose energy while revolving around the nucleus. And therefore fall into the nucleus. Thus, the atom is unstable.
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- 103
1
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0
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95
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How do electrons stay in orbitals in Bohmian Mechanics?
I've been reading various realist interpretations of quantum mechanics and in Bohmian Mechanics, I found that the "wave" aspect of a quantum particle is removed from the particle to preserve ...
- 1,053
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3
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1k
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How Bohr's model explains the stability of atoms?
How Bohr's model explains the stability of atoms? From Maxwell's equation, we know that an electron or any other charge will radiate energy on acceleration.
This problem is said to be solved by Bohr ...
- 349
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2
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2k
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The stability of an atom
I've read about different models of atom proposed in 18$^{th}$ and 19$^{th}$ centuries, of which the most vital were JJ Thomson's model, followed by Rutherford's nuclear model and then Bohr's quantum ...
- 1,157
3
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1
answer
1k
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Possibility of stable muonic structures?
In an analogy to the neutron, which decays rapidly as a free particle, but when bound in a nucleus it is stable, would it be possible to crease a structure that permits the stability of muons - be it ...
- 1,370
31
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10
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Where did Schrödinger solve the radiating problem of Bohr's model?
One of the problems with Bohr's theory to describe the hydrogen atom, was that the electron orbiting around the nucleus has an acceleration. Therefore it radiates and loses energy, until it would ...
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