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The adiabatic hypothesis for magnetic fields

Published online by Cambridge University Press:  24 October 2008

P. A. M. Dirac
Affiliation:
St John's College

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
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