Hostname: page-component-7bb8b95d7b-qxsvm Total loading time: 0 Render date: 2024-09-18T05:33:57.381Z Has data issue: false hasContentIssue false
  • English
  • Français

The adiabatic hypothesis for magnetic fields

Published online by Cambridge University Press:  24 October 2008

P. A. M. Dirac
P. A. M. Dirac
Affiliation:
St John's College
Get access Rights & Permissions [Opens in a new window]

Extract

The usual proof of the adiabatic invariance of the quantum integrals of a multiply periodic dynamical system rests on the assumption that the Hamiltonian equations remain valid for the adiabatically changing system, with the same Hamiltonian function H, or at any rate with a new Hamiltonian function differing from the old one only by terms that vanish with ȧ, (a) being the varying parameter.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 23 , Issue 1 , February 1926 , pp. 69 - 72
Copyright
Copyright © Cambridge Philosophical Society 1926

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* Dirac, , Proc. Roy. Soc. A, vol. 107 (1925), p. 726.CrossRefGoogle Scholar

* See Born, , Vorlesungen über Atommechanik, pp. 238, 239.Google Scholar

* Atombau und Spektrallinien, 4th edition, p. 403.Google Scholar