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- W2023180515 abstract "We define a stationary Gaussian quantum stochastic process (GQSP) on the C*-algebra of the canonical commutation relations over a real symplectic Hilbert space. Physically GQSPs can describe diffusion with non-Markovian memory effects in quantum harmonic oscillators of arbitrary dimension. We find that in analogy with the commutative case a GQSP is completely specified by a operator-valued autocovariance function satisfying certain positive definiteness and reality conditions. The autocovariance function also determines the response of the system to a class of time-dependent generalized forces, and it has a spectral representation in terms of a positive operator-valued measure." @default.
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- W2023180515 date "1979-10-01" @default.
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- W2023180515 title "Gaussian quantum stochastic processes on the CCR algebra" @default.
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- W2023180515 doi "https://doi.org/10.1063/1.523976" @default.
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