Quantum Mechanical systems considered in old QM

wizrdofvortex
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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
 
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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.
 
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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.
 
Not an expert in QM. AFAIK, Schrödinger's equation is quite different from the classical wave equation. The former is an equation for the dynamics of the state of a (quantum?) system, the latter is an equation for the dynamics of a (classical) degree of freedom. As a matter of fact, Schrödinger's equation is first order in time derivatives, while the classical wave equation is second order. But, AFAIK, Schrödinger's equation is a wave equation; only its interpretation makes it non-classical...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
Is it possible, and fruitful, to use certain conceptual and technical tools from effective field theory (coarse-graining/integrating-out, power-counting, matching, RG) to think about the relationship between the fundamental (quantum) and the emergent (classical), both to account for the quasi-autonomy of the classical level and to quantify residual quantum corrections? By “emergent,” I mean the following: after integrating out fast/irrelevant quantum degrees of freedom (high-energy modes...

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