# Kamiltonian

## English

edit### Etymology

editBlend of *K* + *Hamiltonian*; apparently popularised by a jocular comment in the textbook *Classical Mechanics* by Herbert Goldstein (first published 1950).

"It has been remarked in a jocular vein that if H stands for the Hamiltonian, K must stand for the Kamiltonian! Of course K is every bit as much a Hamiltonian as H, but the designation is occasionally a convenient substitute for the longer term "transformed Hamiltonian""

### Noun

edit**Kamiltonian** (*plural* **Kamiltonians**)

- (physics, Hamiltonian mechanics) A second Hamiltonian, denoted by
*K*, resulting from the canonical transformation of a given Hamiltonian.**2006**, Henderson Douglas, Plaschko Peter, Stochastic Differential Equations In Science And Engineering, World Scientific Publishing, page 83:- […] gives the transformed Hamiltonian (the
**Kamiltonian**) […] . However, it is clear that (2.108) are not the canonical equations corresponding to the**Kamiltonian**(2.111).