Authors
Abstract
This is the second installment of a two-part paper on developments in quantum dispersion theory leading up to Heisenberg’s Umdeutung paper. In telling this story, we have taken a 1924 paper by John H. Van Vleck in The Physical Review as our main guide. In this second part we present the detailed derivations on which our narrative in the first part rests. The central result that we derive is the Kramers dispersion formula, which played a key role in the thinking that led to Heisenberg’s Umdeutung paper. We derive classical formulae for the dispersion, emission, and absorption of radiation and use Bohr’s correspondence principle to construct their quantum counterparts both for the special case of a charged harmonic oscillator and for arbitrary non-degenerate multiply-periodic systems. We then rederive these results in modern quantum mechanics.
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
ISBN(s)
DOI 10.1007/s00407-007-0009-3
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 59,735
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

The Trouble with Orbits: The Stark Effect in the Old and the New Quantum Theory.Anthony Duncan & Michel Janssen - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 48 (1):68-83.
A Simplified Genesis of Quantum Mechanics.Olivier Darrigol - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (2):151-166.

Add more citations

Similar books and articles

Heisenberg's Observability Principle.Johanna Wolff - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 45:19-26.
The Incongruent Correspondence: Seven Non-Classical Years of Old Quantum Theory.Shahin Kaveh - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 46 (2):239-246.
Inter-Theory Relations in Quantum Gravity: Correspondence, Reduction and Emergence.Karen Crowther - 2018 - Studies in History and Philosophy of Modern Physics 63:74-85.

Analytics

Added to PP index
2020-02-03

Total views
2 ( #1,386,342 of 2,432,596 )

Recent downloads (6 months)
1 ( #465,136 of 2,432,596 )

How can I increase my downloads?

Downloads

My notes