Quantum Stochastic Gradients
スポンサーリンク
概要
- 論文の詳細を見る
We obtain regularity properties of the quantum stochastic gradients (creation, annihilation and conservation gradients) by systematic study of their various domains. Accordingly, regularity properties of the (non-adapted) quantum stochastic integrals of Hitsuda–Skorohod type follow by duality.
- Graduate School of Information Sciences, Tohoku Universityの論文
著者
-
Ji Un
Department Of Business Administration Hanyang University
-
Obata Nobuaki
Graduate School Of Information Sciences Tohoku University
関連論文
- Infinite dimensional stochastic processes associated with the Exotic Laplacians (非可換解析とミクロ・マクロ双対性--RIMS研究集会報告集)
- Functional Ito Formula for Quantum Semimartingales (Infinite Dimensional Analysis and Quantum Probability Theory)
- Segal-Bargmann Transform of White Noise Operators and White Noise Differential Equations (Analytical Study of Quantum Information and Related Fields)
- A characterization theorem for operators on white noise functionals
- Transformations on white noise functions associated with second order differential operators of diagonal type
- Transforms on white noise functionals with their applications to Cauchy problems
- A role of Bargmann-Segal spaces in characterization and expansion of operators on Fock space
- Cauchy Problems in White Noise Analysis and An Application to Finite Dimensional PDEs II (New Development of Infinite-Dimensional Analysis and Quantum Probability)
- Towards a Non-linear Extension of Stochastic Calculus(Quantum Stochastic Analysis and Related Fields)
- Derivation property of the Levy laplacian(White Noise Analysis and Quantum Probability)
- Hitsuda-Skorohod quantum stochastic integrals in terms of quantum stochastic gradients (量子解析におけるミクロ・マクロ双対性--RIMS共同研究報告集)
- Infinite dimensional rotations and Laplacians in terms of white noise calculus
- Generalized hypergroups and orthogonal polynomials
- White Noise Calculus with Finite Degree of Freedom(White Noise Analysis and Quantum Probability)
- Quantum Probabilistic Approach to Spectral Analysis of Star Graphs
- Generalized Quantum Stochastic Processes on Fock Space
- Wick Product of White Noise Operators and Its Application to Quantum Stochastic Differential Equations(Quantum Stochastic Analysis and Related Fields)
- A characterization of the Levy Laplacian in terms of infinite dimensional rotation groups
- Wick product of white noise operators and quantum stochastic differential equations
- An analytic characterization of symbols of operators on white noise functionals
- Derivations on white noise functionals
- White noise delta functions and continuous version theorem
- White Noise Approach to Quantum Stochastic Integrals(White Noise Analysis and Quantum Probability)
- CONDITIONAL EXPECTATION IN CLASSICAL AND QUANTUM WHITE NOISE CALCULI(Analysis of Operators on Gaussian Space and Quantum Probability Theory)
- Spectra of Manhattan Products of Directed Paths Pn#P2
- A Note on Transformations on White Noise Functions -Hida's Whiskers Revisited-(Recent Trends in Infinite Dimensional Non-Commutative Analysis)
- Quantum Stochastic Process as Continuous Flow of Fock Space Operators
- Generalization of Integral Kernel Operators
- Quantum Stochastic Gradients
- Calculating normal-ordered forms in fock space by quantum white noise derivatives