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
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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
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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 +2 more
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Generating q-Commutator Identities and the q-BCH Formula
Advances in Mathematical Physics, 2016 Motivated by the physical applications of q-calculus and of q-deformations, the aim of this paper is twofold. Firstly, we prove the q-deformed analogue of the celebrated theorem by Baker, Campbell, and Hausdorff for the product of two exponentials.
Andrea Bonfiglioli, Jacob Katriel
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Contextuality, Complementarity, Signaling, and Bell Tests. [PDF]
Entropy (Basel), 2022 Khrennikov A.
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The quantum theory of time: a calculus for q-numbers. [PDF]
Proc Math Phys Eng Sci, 2022 Kuypers S.
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Behavioral Capital Theory via Canonical Quantization. [PDF]
Entropy (Basel), 2022 Hawkins RJ, D'Anna JL.
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Chirality, a new key for the definition of the connection and curvature of a Lie-Kac superalgebra. [PDF]
J High Energy Phys, 2021 Thierry-Mieg J.
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Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]
J Geom Anal, 2022 Haller S.
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A Transverse Hamiltonian Approach to Infinitesimal Perturbation Analysis of Quantum Stochastic Systems. [PDF]
Entropy (Basel), 2023 Vladimirov IG.
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