Wave functions and magnetic fields

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Discussion Overview

The discussion centers around the visual similarities and differences between the (3,2,1) hydrogen wave function and a magnetic field pattern generated on a CRT. Participants explore the implications of these observations, including the mathematical and conceptual underpinnings of the wave function and magnetic fields.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant questions the similarity between the hydrogen wave function and the magnetic field pattern, suggesting that they are not similar and emphasizing the importance of phase information in the wave function that is not represented in the intensity plot.
  • Another participant acknowledges a visual similarity but expresses uncertainty about the fundamental similarities between the field patterns.
  • There is a request for clarification on the visual similarities in layman's terms, indicating a desire for a more accessible explanation.
  • A later post raises a question about how the field patterns on the CRT might change if the magnet were cooled to absolute zero or heated, introducing an experimental aspect to the discussion.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the similarity of the two field patterns. Some assert that they are not similar, while others perceive visual similarities, leading to an unresolved debate.

Contextual Notes

Participants mention the importance of mathematical verification and phase information, indicating that the discussion may depend on specific definitions and interpretations of the wave function and magnetic fields.

nuby
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Can anyone explain why these two field patterns are so similar?

The (3,2,1) hydrogen wave function, and this pattern generated from a magnet on a CRT. (attached to post)
 

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Last edited:
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They are nowhere similar. Did you check the mathematics? Besides the fact that they look different to me, there is a PHASE information in the hydrogen wavefunction that isn't shown in the intensity plot! That's what the "+" and "-" are for!

Besides, even if they "look" similar, what's the whole point in all of this? There's no room for "coincidence"?

Zz.
 
Last edited:
ZapperZ said:
Besides, even if they "look" similar, what's the whole point in all of this? There's no room for "coincidence"?

Zz.

I don't know, that's why I was asking you.. Why do they look similar?
 
nuby said:
I don't know, that's why I was asking you.. Why do they look similar?

They don't look similar. You ignored completely the first part of my response. I'm done!

Zz.
 
sorry.

ZapperZ said:
They are nowhere similar.
I think they are very similar, visually.. But I'm also wondering if the 'field patterns' are also similar at a fundamental level.

Did you check the mathematics?
Not yet. I'm not sure where to start.
Besides the fact that they look different to me, there is a PHASE information in the hydrogen wavefunction that isn't shown in the intensity plot! That's what the "+" and "-" are for!
I was hoping someone could explain the visual similarities (which you don't see) in layman's terms.
 
Any more thoughts on this? I know I'm not the only one who can see visual similarities between the above images.
 
Would the field patterns on the CRT change if the magnet was cooled to absolute zero, or heated?
 

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