Results 1 to 10 of about 17,599 (135)
Metric field as emergence of Hilbert space [PDF]
First, 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]
We 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]
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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W-Hilbert: A W-shaped Hilbert curve and coding method for multiscale geospatial data index
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
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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On the Hilbert Space in Quantum Gravity
This article deals with the fractional problem of Sturm–Liouville and the Hilbert space associated with the solutions of this differential equation.
Ednardo Paulo Spaniol +2 more
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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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Rigged Hilbert spaces and contractive families of Hilbert spaces [PDF]
15 pages.
BELLOMONTE, Giorgia, TRAPANI, Camillo
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Topological transitivity of translation operators in a non-separable Hilbert space
We consider a Hilbert space of entire analytic functions on a non-separable Hilbert space, associated with a non-separable Fock space. We show that under some conditions operators, like the differentiation operators and translation operators, are ...
Z.H. Novosad
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Some Properties of Algebra of Quotients with Bounded Evaluation of a Norm Ideal on Complex Banach Space [PDF]
Cabrera-Mohammed proved that the imbedding of a norm ideal on Hilbert space in algebra of quotients with bounded evaluation is continuous with other properties. In this paper we improve this result by using complex Banach space instated of Hilbert space.
Mohammed Al-Neima, Amir Mohammed
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