1. His theory of adiabatic invariants was important in fusion research. 2. The conclusion was that the quantities to quantize must be adiabatic invariants . 3. Where the integral is between the two turning points, is also an adiabatic invariant . 4. Ehrenfest's most important contribution from 1912 up to 1933 is the theory of adiabatic invariants . 5. The area enclosed by the different motions in phase space are the " adiabatic invariants ". 6. The old quantum theory was formulated by equating the quantum number of a system with its classical adiabatic invariant . 7. Action-angle coordinates are also useful in perturbation theory of Hamiltonian mechanics, especially in determining adiabatic invariants . 8. This condition, suggested by the correspondence principle, is the only one possible, since the quantum numbers are adiabatic invariants . 9. In this case, the energy states of the system do not make transitions, so that the quantum number is an adiabatic invariant . 10. The conservation of ? was only pointed by Alfv�n about 50 years later, and the connection to adiabatic invariant was only made afterwards.
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