sicmutils.mechanics.hamilton — net.littleredcomputer/sicmutils 0.12.1

canonical? clj

(canonical? C H Hprime)

p.324

compositional-canonical? clj

(compositional-canonical? C H)

p.324

dual-zero clj

(dual-zero z)

F->CT clj

(F->CT F)

A transformation of configuration coordinates F to a procedure implementing a transformation of phase-space coordinates (p. 320)

H-central clj

(H-central m V)

H-central-polar clj

(H-central-polar m V)

H-rectangular clj

(H-rectangular m V)

Hamilton-equations clj

(Hamilton-equations Hamiltonian)

Hamiltonian clj

(Hamiltonian & n)

Return SICM-style function signature for a Hamiltonian with n degrees of freedom (or 1 if n is not given). Useful for constructing Hamiltonian literal functions.

Hamiltonian->state-derivative clj

(Hamiltonian->state-derivative Hamiltonian)

iterated-map clj

(iterated-map f n)

f is a function of (x y continue fail), which calls continue with the values of x' y' that follow x y in the mapping. Returns a map of the same shape that iterates the iterated map n times before invoking the continuation, or invokes the fail continuation if the inner map fails.

Lagrangian->Hamiltonian clj

Legendre-transform clj

Lie-transform clj

(Lie-transform H t)

p. 428

momentum clj

(momentum H-state)

See coordinate: this returns the momentum element of a Hammilton state tuple (by convention, the element at index 2).

momentum-tuple clj

(momentum-tuple & ps)

phase-space-derivative clj

Poisson-bracket clj

(Poisson-bracket f g)

polar-canonical clj

(polar-canonical alpha)

p.327

qp->H-state-path clj

(qp->H-state-path q p)

standard-map clj

(standard-map K)

symplectic-matrix? clj

(symplectic-matrix? M)

p. 334

symplectic-transform? clj

(symplectic-transform? C)

p. 334

symplectic-unit clj

(symplectic-unit n)

p. 334 (used, but not defined there)

time-independent-canonical? clj

(time-independent-canonical? C)

p.326