Quantum white noise Feynman-Kac formula

DOI10.1515/rose-2018-0007zbMath1391.60136OpenAlexW2805492493MaRDI QIDQ1635515

Aymen Ettaieb, Narjess Turki Khalifa, Habib Ouerdiane

Publication date: 6 June 2018

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rose-2018-0007

zbMATH Keywords

quantum heat equationquantum heat semigroup, Feynman-Kac formulaquantum K-Gross Laplacian

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Set-valued maps in general topology (54C60) Stochastic integrals (60H05) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Cites Work

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• Lévy Laplacian acting on operators
• Integral transforms of analytic functions on abstract Wiener spaces
• Potential theory associated with Uhlenbeck-Ornstein process
• White noise calculus and Fock space
• Transformation groups on white noise functionals and their applications
• A duality theorem between spaces of holomorphic functions of exponential growth
• Potential theory on Hilbert space
• QWN-EULER OPERATOR AND ASSOCIATED CAUCHY PROBLEM
• QUANTUM EXTENSIONS OF FOURIER-GAUSS AND FOURIER-MEHLER TRANSFORMS
• Transforms on white noise functionals with their applications to Cauchy problems
• Parabolic Equations Associated with the Number Operator
• ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION
• STOCHASTIC HEAT EQUATION ON ALGEBRA OF GENERALIZED FUNCTIONS
• Stochastic Equations in Infinite Dimensions

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