Electron Motion in a Quantum Leap

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Discussion Overview

The discussion centers on the motion of electrons during a quantum leap, exploring the nature of electron transitions between energy levels in atoms. It touches on concepts from quantum mechanics, energy conservation, and the implications of these transitions on classical physics principles.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants question whether electrons can travel between energy levels during a quantum leap, suggesting that it may seem forbidden.
  • Others argue that the concept of "motion" for electrons cannot be understood in classical terms, emphasizing that quantum leaps are a result of energy conservation.
  • One participant distinguishes between quantum leaps and quantum tunneling, stating that they are fundamentally different phenomena.
  • A participant references the conservation of energy in relation to electron transitions, providing a formula that relates photon energy to differences in energy levels.
  • Concerns are raised about the rate of energy conversion during these transitions, with a participant questioning whether it could be instantaneous and thus violate relativity.
  • Another participant counters this concern by mentioning the uncertainty principle in time-energy, suggesting it provides a resolution to the issue.

Areas of Agreement / Disagreement

Participants express differing views on the nature of quantum leaps and their implications for classical physics. There is no consensus on whether the rate of energy conversion during these transitions could violate relativity, with some arguing it cannot while others raise concerns.

Contextual Notes

The discussion includes references to high school chemistry and the Bohr model, which may limit the depth of understanding regarding quantum mechanics. The implications of the uncertainty principle are also mentioned but not fully explored.

Hyperreality
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Electrons in an atom can only be in orbitals embedded in specific energy levels.

So, what is the motion of an electron during a quantum leap? Wouldn't it be forbidden for electrons to travel between energy levels? If it is, can quantum leap be explained by quantum tunnelling?
 
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The electron is not a classical object, so you can not talk of it's "motion" in a classical sense.

Quantum Leap (a term I'm coming across for the first time, in this context) is very different from Tunneling.

Your "Quantum Leap" is merely a consequence of energy conservation. You have an electron with a certain energy; you excite it (add energy to it), and as a result it now has a higher energy (or is in a higher energy state). This behavior is perfectly normal and there's nothing "forbidden" about it.

Quantum Tunneling is what happens when an electron with classically insufficient energy, crosses an energy barrier, (thanks to the "wackiness" of Quantum Mechanics).

PS : It's hard to understand Quantum Mechanics from reading popular science books.
 
Your "Quantum Leap" is merely a consequence of energy conservation. You have an electron with a certain energy; you excite it (add energy to it), and as a result it now has a higher energy (or is in a higher energy state). This behavior is perfectly normal and there's nothing "forbidden" about it.

From I've learned in high school chemistry, electrons occupy different energy levels and located in specific orbitals or subshells s, p, d, and f where each orbitals vary in energy states.

We know from conservation of energy, energy taken by electrons can be written as

[tex]E=hc(\frac{1}{S^2}-\frac{1}{L^2}).[/tex]

As the formula says it, the energy of the photon equals the difference in energy between two energy levels which I believe is the difference between the different orbitals.

My real problem is with the rate at which the energy is converted, for electron at an energy level, according to Bohr, can only exist such that

[tex]E=-\frac{hcR}{n^2}[/tex]

So, if the above conditions are to be satisfied, wouldn't the rate of energy conversion be instantaneous thus violating Einstein's theory of relativity?
 
Last edited:
For large quantum numbers, the correspondence principle works. A transition [tex]n_m \rightarrow n_{m-1}[/tex] emits a photon with energy [tex]\hbar \omega[/tex]. This frequency omega is equal to the orbital frequency of the orbit in a classical model, which would emit dipole radiation with that orbital frequency. The energy loss would lead to the electron spiraling inwards, emitting radiation with increasing frequencies.
 
Hyperreality said:
So, if the above conditions are to be satisfied, wouldn't the rate of energy conversion be instantaneous thus violating Einstein's theory of relativity?

No. The uncertainty in time-energy saves you.
 

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