Zobrazeno 1 - 10
of 205
pro vyhledávání: '"van Neerven, Jan"'
Publikováno v:
Comptes Rendus. Mathématique, Vol 361, Iss G5, Pp 835-846 (2023)
We consider operators acting on a UMD Banach lattice $X$ that have the same algebraic structure as the position and momentum operators associated with the harmonic oscillator $-\frac{1}{2}\Delta + \frac{1}{2}|x|^{2} $ acting on $L^{2}(\mathbb{R}^{d})
Externí odkaz:
https://doaj.org/article/77bdeb21f1734f0db659ed6498e6adce
Autor:
van Neerven, Jan, Riedle, Markus
We establish an explicit characterisation of L\'evy measures on both $L^p$-spaces and UMD Banach spaces. In the case of $L^p$-spaces, L\'evy measures are characterised by an integrability condition, which directly generalises the known description of
Externí odkaz:
http://arxiv.org/abs/2406.09362
Autor:
Waaijer, Marijn, van Neerven, Jan
In this article, we present a detailed analysis of two famous delayed choice experiments: Wheeler's classic gedanken-experiment and the delayed quantum eraser. Our analysis shows that the outcomes of both experiments can be fully explained on the bas
Externí odkaz:
http://arxiv.org/abs/2307.14687
Autor:
van Neerven, Jan, Portal, Pierre
We show that the Connes-Rovelli thermal time associated with the quantum harmonic oscillator can be described as an (unsharp) observable, that is, as a positive operator valued measure. We furthermore present extensions of this result to the free mas
Externí odkaz:
http://arxiv.org/abs/2306.13774
We consider operators acting on a UMD Banach lattice $X$ that have the same algebraic structure as the position and momentum operators associated with the harmonic oscillator $-\frac12\Delta + \frac12|x|^{2} $ acting on $L^{2}(\mathbb{R}^{d})$. More
Externí odkaz:
http://arxiv.org/abs/2201.03082
Autor:
van Neerven, Jan
Publikováno v:
Cambridge Studies in Advanced Mathematics, volume 201 (June 2022, corrected printing 2023)
This book is based on notes compiled over the many years I have been teaching the course "Applied Functional Analysis" in the first year of the Master programme at Delft University of Technology, for students with previous exposure to the essentials
Externí odkaz:
http://arxiv.org/abs/2112.11166
Autor:
van Neerven, Jan
We revisit the quantum phase operator $\Phi$ introduced by Garrison and Wong. Denoting by $N$ the number operator, we provide a detailed proof of the Heisenberg commutation relation $\Phi N - N\Phi = iI$ on the natural maximal domain $D(\Phi N) \cap
Externí odkaz:
http://arxiv.org/abs/2008.08935
Autor:
van Neerven, Jan, Veraar, Mark
This paper presents a survey of maximal inequalities for stochastic convolutions in $2$-smooth Banach spaces and their applications to stochastic evolution equations.
Comment: minor changes. Accepted for publication in Philosophical Transactions
Comment: minor changes. Accepted for publication in Philosophical Transactions
Externí odkaz:
http://arxiv.org/abs/2006.08325
Autor:
van Neerven, Jan, Veraar, Mark
We prove a new Burkholder-Rosenthal type inequality for discrete-time processes taking values in a 2-smooth Banach space. As a first application we prove that if $(S(t,s))_{0\leq s\leq T}$ is a $C_0$-evolution family of contractions on a $2$-smooth B
Externí odkaz:
http://arxiv.org/abs/2006.06964