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Hilbert space description of classical dynamical systems I

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  • Kowalski, Krzysztof

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.

Suggested Citation

  • Kowalski, Krzysztof, 1987. "Hilbert space description of classical dynamical systems I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 145(3), pages 408-424.
    • Handle: RePEc:eee:phsmap:v:145:y:1987:i:3:p:408-424
    DOI: 10.1016/0378-4371(87)90003-3
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    1. Applebaum, William, 1969. "Challenges To Food Distribution Research In The 1970'S," Journal of Food Distribution Research, Food Distribution Research Society, vol. 1(1), pages 1-13.
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