Search results with tag "Jacobi"

8.09(F14) Chapter 4: Canonical Transformations, Hamilton ...

CHAPTER 4. CANONICAL TRANSFORMATIONS, HAMILTON-JACOBI EQUATIONS, AND ACTION-ANGLE VARIABLES. Let us try the transformation: p= p. 2mPcos(Q) (4.34) q= p m! 2mPsin(Q) for constant. Then: K= H= P 2 cos (Q) + sin2(Q) = P 2; (4.35) so the new momentum E P= (4.36) 2 is just proportional to the energy, while Qis a cyclic variable. Is this ...

  Chapter, Transformation, Equations, Chapter 4, Hamilton, Canonical, Canonical transformations, Hamilton jacobi equations, Jacobi