When this quantity is independent of the time, action-angle coordinates can be used.
When this quantity is independent of the time, action-angle coordinates can be used. The derivativeof this quantity with respect to the slow coordinates appears in the Langevin equation. The timederivative of an operator is equal to an expression involving the commutator of the operator with thisquantity according to Ehrenfest's theorem. An eigenstate of this operator are unchanging under aslow (*) perturbation under conditions meeting the adiabatic theorem. This operator taken on awavefunction is equal to energy times the wavefunction according to the Schrodinger equation. For 10points, name this operator which corresponds to the total energy of a system, and which is also equal tothe Legendre transformation of the Lagrangian
When this quantity is independent of the time, action-angle coordinates can be used.
Hamiltonian [accept total energy until mention]