A one-dimensional canonical transformation is a locally invertible change of phase-space variables preserving the symplectic two-form: . Equivalently it preserves Hamilton equations for the transformed Hamiltonian. Expanding the two-form yields
(1)
so
(2)
Conversely this Jacobian condition makes the transformation locally invertible and symplectic in two dimensions.

Ancestors (10)

  1. 9C
  2. Paper 4
  3. ii
  4. 2005
  5. Past exam of the mathematics course of the University of Cambridge
  6. Mathematics course of the University of Cambridge
  7. Course of the University of Cambridge
  8. University of Cambridge
  9. List of universities
  10. Home

View article source

Discussion (0) New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version