Quantum Mechanical systems considered in old QM

Click For Summary

Discussion Overview

The discussion revolves around the historical development of quantum mechanics (QM), specifically focusing on various systems that were analyzed and how theoretical ideas were applied to gain acceptance. Participants explore both the conceptual evolution of QM and the practical applications of its principles in explaining physical phenomena.

Discussion Character

  • Exploratory
  • Historical
  • Conceptual clarification

Main Points Raised

  • Some participants mention blackbody radiation as a key phenomenon that contributed to the development of QM.
  • Others propose several systems considered in early QM, including the photoelectric effect, atomic models by Bohr and Schrödinger, electron diffraction, and the Stern-Gerlach experiment.
  • One participant highlights Einstein's treatment of the specific heat of a crystal lattice as another significant contribution.
  • A later reply discusses the incorrect original explanation of the Stern-Gerlach experiment due to the lack of understanding of electron spin, noting the coincidence in predictions between old QM and the observed results.
  • Another participant narrows the focus to systems analyzed via classical mechanics before applying quantization rules, mentioning the hydrogen atom as an example and seeking additional examples.

Areas of Agreement / Disagreement

Participants present multiple competing views regarding the systems considered in old QM and the historical context of their development. The discussion remains unresolved as participants continue to explore various examples and interpretations.

Contextual Notes

Participants express interest in the historical order of development and the application of quantization rules, but there are limitations in the specificity of examples and the completeness of the historical narrative presented.

wizrdofvortex
Messages
12
Reaction score
0
Hello,

I know that blackbody radiation was one phenomenon whose study contributed to the conceptual development of QM early on. My first question is, what other such systems were considered?
I want to know this because I'm closely following the actual order of development of QM concepts, the way it was historically.

My second query is what systems were these theoretical ideas APPLIED to and successfully explained, in order for them (ideas) to gain acceptance?

Thanks in advance
 
Physics news on Phys.org
Hi,
Here's a couple of ideas:
Photoelectric effect.
The atom (treatments by Bohr and later Schroedinger); spectral lines and chemistry.
Wave nature of matter: electron diffraction, quantum double slit.
Stern-Gerlach
 
Einstein's treatment of the specific heat of a crystal lattice.
 
Thanks... I'll take a look
 
henry_m said:
Hi,
Here's a couple of ideas:
Photoelectric effect.
The atom (treatments by Bohr and later Schroedinger); spectral lines and chemistry.
Wave nature of matter: electron diffraction, quantum double slit.
Stern-Gerlach

Actually, the original explanation of the Stern-Gerlach experiment in "Old QM theory" was incorrect. They didn't know about electron spin yet, so they thought the unpaired electrons would give silver atoms an orbital angular momentum of 1 ... (in fact, they have an orbital angular momentum of 0). In modern QM, an angular momentum of 1 should interact with a magnetic field gradient to give 3 bands, instead of the two that Stern & Gerlach observed. However, by a lucky coincidence, the Bohr-Sommerfield of angular momentum was ALSO incorrect, and predicted only two bands for an angular momentum of 1. So http://www.ru.nl/publish/pages/555655/3.jpg" for the full story. It took Goudsmit & Uhlenbeck to propose that electrons had an intrinsic angular momentum (spin), before the proper explanation for the original Stern Gerlach experiment was realized.
 
Last edited by a moderator:
Hello again,

I want to narrow down the question a bit... early on, as part of old QM, various systems would be analyzed via CLASSICAL mechanics, and then some quantization rules/selection rules would be applied to them, thereby obtaining a quantized set of energies, etc.

So any idea as to what these systems were? Of course, hydrogen atom is one example, as shown by Bohr, but I'm curious as to what other systems were considered besides H atom.
 

Similar threads

  • · Replies 36 ·
2
Replies
36
Views
7K
  • · Replies 39 ·
2
Replies
39
Views
4K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 21 ·
Replies
21
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 12 ·
Replies
12
Views
11K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 43 ·
2
Replies
43
Views
10K
  • · Replies 62 ·
3
Replies
62
Views
6K