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Quantum biology: From mechanisms to medicine. [PDF]
Sung JY, Cheong JH.
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Nuclear Quantum Effects on the Equation of State of Water: Insights from the Potential Energy Landscape Formalism. [PDF]
Eltareb A, Lopez GE, Giovambattista N.
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On optimisation of Paganin's method for propagation-based X-ray phase-contrast imaging and tomography. [PDF]
Gureyev TE +3 more
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Quantum Stochastic Integral Representations on Interacting Fock Space
Journal of Theoretical Probability, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuanbao Kang, Caishi Wang
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Quantum stochastic integral representations of Fock space operators
Stochastics, 2009An (unbounded) operator Ξ on Boson Fock space over L 2(R +) is called regular if it is an admissible white noise operator such that the conditional expectations give rise to a regular quantum martingale. We prove that an admissible white noise operator is regular if and only if it admits a quantum stochastic integral representation.
Nobuaki Obata, Un Çig Ji
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Quantum martingales and stochastic integrals
Lecture Notes in Mathematics, 1988exaly +2 more sources
Multidimensional Quantum Stochastic Integrals
AIP Conference Proceedings, 2011Quantum stochastic analogues (H,A{Az}z∈R+,m,R+), of a classical stochastic base may be formed whereby a classical sample space Ω is replaced by a Hilbert Space H, σ‐field F is replaced by a von Neumann algebra b, the filtration {FI}i∈I by a filtration {Bz}z of von Neumann subalgebras of the von Neumann algebra B and the probability measure P with gage ...
William Joseph Spring +2 more
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Quantum stochastic integration and quantum stochastic differential equations
Mathematical Proceedings of the Cambridge Philosophical Society, 1994AbstractQuantum stochastic integrals are constructed using the non-commutativeLp-space theory of Haagerup. The existence and uniqueness of the solution to quantum stochastic differential equations driven by quasi-Wiener noises, or noises satisfying generalized standing hypotheses, is established as is the Markov behaviour of the solution.
Barnett, Chris +2 more
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UNIQUENESS OF INTEGRANDS IN QUANTUM STOCHASTIC INTEGRAL
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2006As a general study for uniqueness of integrands in quantum martingale representation, we present a necessary and sufficient condition for uniqueness of integrands in a quantum stochastic integral. Also, several equivalent conditions to the necessary and sufficient condition are studied.
Ji, Un Cig, Sinha, Kalyan B.
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