Hilbert space description of classical dynamical systems I

Krzysztof Kowalski

Physica A: Statistical Mechanics and its Applications, 1987, vol. 145, issue 3, 408-424

Abstract: It is shown that classical dynamical systems can be described by a Hilbert space, Schrödinger-like equation with the Hamiltonian (a non-Hermitian one) expressed in terms of Bose creation and annihilation operators. The presented formalism includes the Carleman embedding as the special case.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:145:y:1987:i:3:p:408-424

DOI: 10.1016/0378-4371(87)90003-3

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