The adiabatic hypothesis for magnetic fields
Published online by Cambridge University Press: 24 October 2008
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
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
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