Can Dynamical Systems Explain Electron Behavior in Hydrogen Atoms?

Click For Summary

Discussion Overview

The discussion centers around the applicability of dynamical systems to describe electron behavior in hydrogen atoms. Participants explore the concept of dynamical systems, particularly in the context of analytical mechanics and its historical figures.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions the vagueness of the term "dynamical system" and seeks clarification on its meaning.
  • Another participant specifies that they are referring to analytical mechanics and differential dynamical systems.
  • A further response reiterates the need for a specific example to clarify the initial inquiry.
  • Participants mention the dynamical systems studied by Poincare and Birkhoff, but do not provide specific references or examples.
  • There is a challenge regarding the lack of specificity in the discussion, leading to a warning about the potential closure of the thread.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the definition or application of dynamical systems in this context, and the discussion remains unresolved due to the lack of specific examples and references.

Contextual Notes

The discussion is limited by the ambiguity of the term "dynamical system" and the absence of concrete examples or references to support the claims made.

thaiqi
Messages
162
Reaction score
9
TL;DR
no summary
Hello,everyone.
Can dynamical system be used to describe the behavior of the electron in Hydrogen atom?
 
Physics news on Phys.org
thaiqi said:
dynamical system

What do you mean by this? "Dynamical system" is extremely vague.
 
PeterDonis said:
What do you mean by this? "Dynamical system" is extremely vague.
I mean analytical mechanics - differential dynamical system.
 
thaiqi said:
I mean analytical mechanics - differential dynamical system.

Still way too vague. Perhaps if you gave a specific example of the kind of thing you mean, it would help.
 
I mean the dynamical system studied by Poincare and Birkhoff et.al.
 
thaiqi said:
I mean the dynamical system studied by Poincare and Birkhoff et.al.

Please give a specific reference. Otherwise this thread will be closed since we can't answer your question if we don't know what you are talking about.
 
Thanks.
 
  • Sad
Likes   Reactions: weirdoguy
thaiqi said:
Thanks.

I take it you mean, you are either unable or unwilling to provide any more specific information. In that case, this thread is closed.
 
  • Like
Likes   Reactions: weirdoguy and Vanadium 50

Similar threads

Undergrad Why is the SE better than the KG equation for a hydrogen atom?
  • · Replies 18 ·
Replies
18
Views
3K
Undergrad Are the proton and electron quantum entangled in the hydrogen atom?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Two hydrogen atoms and Pauli's exclusion principle
  • · Replies 17 ·
Replies
17
Views
3K
Undergrad General solution of the hydrogen atom Schrödinger equation
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad Wavefunction of ionized hydrogen electron
  • · Replies 9 ·
Replies
9
Views
2K
High School Can Hydrogen Atoms on Earth and the Moon Share Electrons?
  • · Replies 27 ·
Replies
27
Views
3K
Undergrad Is the magnetic moment of a hydrogen atom not equal to Bohr's magneton?
  • · Replies 22 ·
Replies
22
Views
3K
Undergrad Hydrogen atom: Energies and eigenstates
  • · Replies 17 ·
Replies
17
Views
2K
Undergrad Matrix element in problem with hydrogen atom
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad When does the separation of variables work
  • · Replies 2 ·
Replies
2
Views
1K