Results 41 to 50 of about 1,304 (215)
A Method for Choosing an Initial Time Eigenstate in Classical and Quantum Systems
Entropy, 2013 A subject of interest in classical and quantum mechanics is the development of the appropriate treatment of the time variable. In this paper we introduce a method of choosing the initial time eigensurface and how this method can be used to generate time ...
Mónica Noemí Jiménez-García +1 more
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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On commuting and semi-commuting positive operators [PDF]
Proceedings of the American Mathematical Society, 2014 Let K K be a positive compact operator on a Banach lattice. We prove that if either
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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Noncompact commutators in the commutant of a cyclic operator [PDF]
Proceedings of the American Mathematical Society, 1989 We show that the commutant of the operator S ⊗
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Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods
Contributions to Plasma Physics, EarlyView.ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost +3 more
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Weighted Central BMO Spaces and Their Applications
Journal of Function Spaces, 2021 In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces.
Huan Zhao, Zongguang Liu
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On Commuting and Noncommuting Complexes
Journal of Algebra, 2001 In this paper we study various simplicial complexes associated to the commutative structure of a finite group G. We define NC(G) (resp. C(G)) as the complex associated to the poset of pairwise non-commuting (resp. commuting) sets in G. We observe that NC(G) has only one positive dimensional connected component, which we call BNC(G), and we prove that ...
Pakianathan, Jonathan, Yalçın, Ergün
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Kinetic Contribution to the Arbitrary Order Odd Frequency Moments of the Dynamic Structure Factor
Contributions to Plasma Physics, EarlyView.ABSTRACT An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over the exact momentum distribution.
Panagiotis Tolias +2 more
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Open Mathematics, 2017 The main purpose of this paper is to prove that the boundedness of the commutator Mκ,b∗$\mathcal{M}_{\kappa,b}^{*} $ generated by the Littlewood-Paley operator Mκ∗$\mathcal{M}_{\kappa}^{*} $ and RBMO (μ) function on non-homogeneous metric measure ...
Lu Guanghui, Tao Shuangping
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