Results 1 to 10 of about 140,576 (147)

Non-Commutative Worlds and Classical Constraints [PDF]

Entropy, 2018
This paper reviews results about discrete physics and non-commutative worlds and explores further the structure and consequences of constraints linking classical calculus and discrete calculus formulated via commutators.
Louis H. Kauffman
doaj   +2 more sources

Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics and Superconvergence for Schrödinger Equation [PDF]

Quantum, 2022
We propose a simple quantum algorithm for simulating highly oscillatory quantum dynamics, which does not require complicated quantum control logic for handling time-ordering operators.
Dong An, Di Fang, Lin Lin
doaj   +1 more source

Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices

Comptes Rendus. Mathématique, 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 ...
van Neerven, Jan, Portal, Pierre, Sharma, Himani   +2 more
doaj   +1 more source

EXPTIME tableaux for the coalgebraic µ-Calculus [PDF]

, 2011
The coalgebraic approach to modal logic provides a uniform framework that captures the semantics of a large class of structurally different modal logics, including e.g. graded and probabilistic modal logics and coalition logic.
Pattinson, Dirk, Clemens Kupke, Dirk Pattinson, Cirstea, Corina, Kupke, Clemens, Corina Cirstea   +5 more
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Influence of the Commutator Properties of Hamiltonians on the Robustness of Quantum Circuits [PDF]

, 2023
We have proved new estimates for the coherent control errors of quantum circuits used in quantum computing. These estimates essentially take into account the commutator properties of the Hamiltonians and are based on the formulas of the commutator ...
Slynko, Vitalii, Bivziuk, Vladyslav
core   +1 more source

Commutator estimates on contact manifolds and applications [PDF]

, 2019
This article studies sharp norm estimates for the commutator of pseudo-differential operators with multiplication operators on closed Heisenberg manifolds.
Gimperlein, Heiko, Gimperlein, Heiko,, Gimperlein, H., Goffeng, Magnus,, Goffeng, Magnus C H T,, Goffeng, Magnus, Goffeng, Magnus C H T   +6 more
core   +3 more sources

Non-commutative functional calculus: Unbounded operators [PDF]

Journal of Geometry and Physics, 2009
In a recent work, \cite{cgss}, we developed a functional calculus for bounded operators defined on quaternionic Banach spaces. In this paper we show how the results from \cite{cgss} can be extended to the unbounded case, and we highlight the crucial differences between the two cases.
Sabadini, Irene, Colombo, Fabrizio, Struppa, Daniele, Sabadini, Irene, Gentili, Graziano, Colombo, Fabrizio, Struppa, D., Struppa, Daniele, Gentili, Graziano, Sabadini, I., Gentili, G., Colombo, F.   +11 more
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Norm inequalities for the generalised commutator in Banach algebras [PDF]

, 2021
In this paper, by utilising the Riesz functional calculus in a Banach algebra B, we provide some norm inequalities for the generalized commutator f(y)z zf(x) where x; y; z 2 B and f is an analytic function for which the elements f(y) and f(x) exist ...
Silvestru Sever Dragomir
core   +1 more source

A Geometric Study of Commutator Subgroups [PDF]

, 2009
Let G be a group and G' its commutator subgroup. Commutator length (cl) and stable commutator length (scl) are naturally defined concepts for elements of G'. We study cl and scl for two classes of groups.
Zhuang, Dongping, Dongping Zhuang
core   +1 more source

Two theorems in the commutator calculus [PDF]

Transactions of the American Mathematical Society, 1972
Let F = ⟨ a
openaire   +1 more source