QUANTUM STOCHASTIC ANALYSIS VIA WHITE NOISE OPERATORS IN WEIGHTED FOCK SPACE
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Publication:4420434
DOI10.1142/S0129055X0200117XzbMath1027.60072OpenAlexW2012391080WikidataQ128923132 ScholiaQ128923132MaRDI QIDQ4420434
Un Cig Ji, Nobuaki Obata, Dong Myung Chung
Publication date: 17 August 2003
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129055x0200117x
Wick productwhite noiseFock spacequantum stochastic differential equationsquantum white noisenormal-ordered white noise differential equation
Related Items (18)
QWN-EULER OPERATOR AND ASSOCIATED CAUCHY PROBLEM ⋮ Annihilation-derivative, creation-derivative and representation of quantum martingales ⋮ Factorization property of convolutions of white noise operators ⋮ Quantum Lévy Laplacian and associated heat equation ⋮ ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION ⋮ \(\gamma\)-quantum product of white noise operators and applications ⋮ Wick differential and Poisson equations associated to the 𝚀𝚆𝙽-Euler operator acting on generalized operators ⋮ INTEGRAL REPRESENTATION OF QUANTUM MARTINGALES ⋮ A Unified Characterization Theorem in White Noise Theory ⋮ Quantum white noise stochastic analysis based on nuclear algebras of entire functions ⋮ AN EXTENDED STOCHASTIC INTEGRAL AND A WICK CALCULUS ON PARAMETRIZED KONDRATIEV-TYPE SPACES OF MEIXNER WHITE NOISE ⋮ Quantum stochastic calculus associated with quadratic quantum noises ⋮ An implementation problem for boson fields and quantum Girsanov transform ⋮ Quantum stochastic integral representations of Fock space operators ⋮ A NOTE ON CONVOLUTION OPERATORS IN WHITE NOISE CALCULUS ⋮ UNIQUENESS OF INTEGRANDS IN QUANTUM STOCHASTIC INTEGRAL ⋮ Implementation problem for the canonical commutation relation in terms of quantum white noise derivatives ⋮ Wick calculus for vector-valued Gaussian white noise unctionals
Cites Work
- Quantum Ito's formula and stochastic evolutions
- Calculus on Gaussian white noise. I
- A characterization of Hida distributions
- Wick product of white noise operators and quantum stochastic differential equations.
- An analytic characterization of symbols of operators on white noise functionals
- Spaces of white noise distributions: Constructions, descriptions, applications. I
- Integral kernel operators on Fock space. -- Generalizations and applications to quantum dynamics
- Generalized quantum stochastic processes on Fock space
- A duality theorem between spaces of holomorphic functions of exponential growth
- QUANTUM ITO’S FORMULA
- Quantum white noises—White noise approach to quantum stochastic calculus
- A New Class of White Noise Generalized Functions
- Higher Powers of Quantum White Noises in Terms of Integral Kernel Operators
- Wick Calculus of Generalized Operators and its Applications to Quantum Stochastic Calculus
- Quantum stochastic differential equations in terms of quantum white noise
- WHITE NOISE ANALYSIS ON A NEW SPACE OF HIDA DISTRIBUTIONS
- NOISE AND DISSIPATION IN QUANTUM THEORY
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