equation 23.49 eq:hj-action-variable

open in the book · parts/03-classical-mechanics/06-hamilton-jacobi.tex:906

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equation 23.49: eq:hj-action-variable23.49definition A.554: Actions on the torusA.554example 23.26: The Kepler problem, and the Bohr formula23.26example 23.27: Charged particle in a uniform magnetic field23.27equation 23.53: eq:hj-angle-circuit23.53equation 24.3: eq:sym-canonical-forms24.3proposition A.552: The component is a torusA.552lemma A.555: The actions are well definedA.555proposition A.556: The Jacobian of the actions is the lattice matrixA.556definition 23.13: Additive separability23.13equation 70.4: eq:atom-hydrogen-levels70.4proposition 23.14: Cyclic coordinates23.14theorem 23.34: Adiabatic invariance of the action23.34equation 23.50: eq:hj-angle-variable23.50

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typedirectionnode provenancewhere
depends_on Actions on the torus declared appendices/A-long-proofs.tex:26793
depends_on The Kepler problem, and the Bohr formula declared parts/03-classical-mechanics/06-hamilton-jacobi.tex:856
depends_on Charged particle in a uniform magnetic field declared parts/03-classical-mechanics/06-hamilton-jacobi.tex:891
step_from eq:hj-angle-circuit declared — exchanging the two differentiations under the circuit integral parts/03-classical-mechanics/06-hamilton-jacobi.tex:976