Results 11 to 20 of about 19,610 (266)
Metric field as emergence of Hilbert space [PDF]
Scientific ReportsFirst, we explain some ambiguities of spacetime and metric field as fundamental concepts. Then, from the Unruh effect point of view and using the Gelfand–Naimark–Segal construction, we construct an operator as a quanta of acceleration that we call ...
Maysam Yousefian, Mehrdad Farhoudi
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Consistent Treatment of Quantum Systems with a Time-Dependent Hilbert Space [PDF]
EntropyWe consider some basic problems associated with quantum mechanics of systems having a time-dependent Hilbert space. We provide a consistent treatment of these systems and address the possibility of describing them in terms of a time-independent Hilbert ...
Ali Mostafazadeh
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Introduction of Frame in Tensor Product of $n$-Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 We study the concept of frame in tensor product of $n$-Hilbert spaces as tensor product of $n$-Hilbert spaces is again an $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
Prasenjit Ghosh, Tapas Samanta
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UMYU Scientifica Journal, 2023 In this study, a third nonlinear fuzzy ordinary differential equation is defined and established in Hilbert space using extension principle. The results obtained gives clear distinction between this work and the existing ones in the literature an example
Habibu Hassan, Alhaji Tahir
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W-Hilbert: A W-shaped Hilbert curve and coding method for multiscale geospatial data index
International Journal of Applied Earth Observations and Geoinformation, 2023 Space-filling curves (SFCs) are commonly used in discrete global grid systems (DGGSs) and applied to efficient indices and queries of massive geospatial data.
Yi Lei +5 more
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Generalized Cauchy–Schwarz Inequalities and A-Numerical Radius Applications
Axioms, 2023 The purpose of this research paper is to introduce new Cauchy–Schwarz inequalities that are valid in semi-Hilbert spaces, which are generalizations of Hilbert spaces.
Najla Altwaijry +2 more
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Rigged Hilbert spaces and contractive families of Hilbert spaces [PDF]
Monatshefte für Mathematik, 2010 15 pages.
BELLOMONTE, Giorgia, TRAPANI, Camillo
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Imaginaries in Hilbert spaces [PDF]
Archive for Mathematical Logic, 2004 The paper is a contribution to the model theory of Hilbert spaces. The authors work in a ``big'' Hilbert space \(\mathcal H\) and consider it as a multi-sorted structure whose sorts are the balls \(\{v: \| v\| \leq n\}\), for \(n0}\), all \(\lambda_i\) are in \(\mathbb R\) or \(\mathbb C\) (depending of the ground field of \(\mathcal H\)), and all ...
Itay Ben-Yaacov, Alexander Berenstein
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Journal of High Energy Physics, 2021 Einstein’s theory of general relativity is based on the premise that the physical laws take the same form in all coordinate systems. However, it still presumes a preferred decomposition of the total kinematic Hilbert space into local kinematic Hilbert ...
Sung-Sik Lee
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SISTEM ORTONORMAL DALAM RUANG HILBERT
Barekeng, 2014 Hilbert space is one of the important inventions in mathematics. Historically, the theory of Hilbert space originated from David Hilbert’s work on quadratic form in infinitely many variables with their applications to integral equations.
Zeth A. Leleury
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