Characterization of the \texttt{QWN}-conservation operator and applications

DOI10.1016/j.chaos.2015.12.023zbMath1371.81120OpenAlexW2311159754MaRDI QIDQ509236

Hafedh Rguigui

Publication date: 9 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.12.023

zbMATH Keywords

\texttt{QWN}-conservation operatornumber operatorspace of entire functionWick derivation

Mathematics Subject Classification ID

Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (12)

\(q\)-deformation of the square white noise Lie algebra ⋮ Riemann-Liouville and Caputo fractional potentials associated with the number operator ⋮ Euler's theorem for homogeneous white noise operators ⋮ Fractional number operator and associated fractional diffusion equations ⋮ Quantum white noise Gaussian kernel operators ⋮ A new characterization of homogeneous functions and applications ⋮ Stochastic Bernoulli equation on the algebra of generalized functions ⋮ Stochastic Clairaut equation on algebra of generalized functions ⋮ Generalized Riccati Wick differential equation and applications ⋮ Quantum white noise stochastic analysis based on nuclear algebras of entire functions ⋮ Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator ⋮ Generalized Bernoulli Wick differential equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum white noise convolution operators with application to differential equations
• Quantum \(\lambda\)-potentials associated to quantum Ornstein-Uhlenbeck semigroups
• Annihilation-derivative, creation-derivative and representation of quantum martingales
• White noise calculus and Fock space
• A duality theorem between spaces of holomorphic functions of exponential growth
• Quantum Ornstein-Uhlenbeck semigroups
• Operator theory: quantum white noise approach
• QWN-EULER OPERATOR AND ASSOCIATED CAUCHY PROBLEM
• 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
• Implementation problem for the canonical commutation relation in terms of quantum white noise derivatives
• The characterizations of Laplacians in white noise analysis

This page was built for publication: Characterization of the \texttt{QWN}-conservation operator and applications