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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
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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

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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