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A martingale characterization of quantum Poisson processes

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Publication:909344
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DOI10.1007/BF01197888zbMath0694.60045MaRDI QIDQ909344

Franco Fagnola

Publication date: 1990

Published in: Probability Theory and Related Fields (Search for Journal in Brave)


zbMATH Keywords

quantum Brownian motionpurely discontinuous trajectoriesquantum Poisson process


Mathematics Subject Classification ID

Martingales with continuous parameter (60G44) Stochastic processes (60G99) Stochastic mechanics (including stochastic electrodynamics) (81P20)


Related Items (3)

The number process as low density limit of Hamiltonian models ⋮ A representation free quantum stochastic calculus ⋮ A Lévy theorem for free noises



Cites Work

  • Quantum Ito's formula and stochastic evolutions
  • A martingale characterization of canonical commutation and anticommutation relations
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