Integrable Systems as Quantum Mechanics
نویسنده
چکیده
We review briefly some ideas and constructions for dKP (from KP) and its Hamiltonian dynamics, discuss its quantization via Moyal back to KP, and treat the KP hierarchy itself as a sequence of quantum Hamiltonian systems based on the dKP dynamics. Some connections to q-theories are also indicated. The constructions are all well known (cf. [6, 8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 23, 24, 29, 33, 36, 38, 41, 42, 54, 55, 56, 65]) but we try to organize matters and perhaps see them from a different perspective. We will use dKdV and KdV as a source of simple examples.
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