Results 51 to 60 of about 5,037,194 (368)
Shape Transformation Approaches for Fluid Dynamic Optimization
Aerospace, 2023 The contribution is devoted to combined shape- and mesh-update strategies for parameter-free (CAD-free) shape optimization methods. Three different strategies to translate the shape sensitivities computed by adjoint shape optimization procedures into ...
Peter Marvin Müller +2 more
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A gauge model for quantum mechanics on a stratified space [PDF]
, 2008 In the Hamiltonian approach on a single spatial plaquette, we construct a quantum (lattice) gauge theory which incorporates the classical singularities.
B.C. Hall +50 more
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Quantum theory in real Hilbert space: How the complex Hilbert space structure emerges from Poincar\'e symmetry [PDF]
, 2016 As established by Soler, Quantum Theories may be formulated in real, complex or quaternionic Hilbert spaces only. Stuckelberg provided physical reasons for ruling out real Hilbert spaces relying on Heisenberg principle.
Valter Moretti, Marco Oppio
semanticscholar +1 more source
A characterization of Hilbert space [PDF]
Proceedings of the American Mathematical Society, 1974 A real Banach space E of dimension _3 is an inner product space iff there exists a bounded smooth convex subset of E which is the range of a nonexpansive retraction. De Figueiredo and Karlovitz [3] have shown that if E is a strictly convex real finite-dimensional Banach space and dim E> 3 then there can exist no bounded smooth nonexpansive retract of E
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Ergodicity probes: using time-fluctuations to measure the Hilbert space dimension [PDF]
Quantum, 2019 Quantum devices, such as quantum simulators, quantum annealers, and quantum computers, may be exploited to solve problems beyond what is tractable with classical computers. This may be achieved as the Hilbert space available to perform such `calculations'
Charlie Nation, Diego Porras
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The Hilbert Space of Quantum Gravity Is Locally Finite-Dimensional [PDF]
, 2017 We argue in a model-independent way that the Hilbert space of quantum gravity is locally finite-dimensional. In other words, the density operator describing the state corresponding to a small region of space, when such a notion makes sense, is defined on
N. Bao, S. Carroll, Ashmeet Singh
semanticscholar +1 more source
Communications in Mathematical Physics, 2000 The basic mathematical framework for super Hilbert spaces over a Grassmann algebra with a Grassmann number-valued inner product is formulated. Super Hilbert spaces over infinitely generated Grassmann algebras arise in the functional Schroedinger representation of spinor quantum field theory in a natural way.
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Hypercomplex quantum mechanics
, 1995 The fundamental axioms of the quantum theory do not explicitly identify the algebraic structure of the linear space for which orthogonal subspaces correspond to the propositions (equivalence classes of physical questions).
A. A. Albert +23 more
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Wreath products with the integers, proper actions and Hilbert space compression [PDF]
, 2006 We prove that the properties of acting metrically properly on some space with walls or some CAT(0) cube complex are closed by taking the wreath product with \Z. We also give a lower bound for the (equivariant) Hilbert space compression of H\wr\Z in terms
Stalder, Yves, Valette, Alain
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Synthetic Hilbert Space Engineering of Molecular Qudits: Isotopologue Chemistry
Advances in Materials, 2019 One of the most ambitious technological goals is the development of devices working under the laws of quantum mechanics. Among others, an important challenge to be resolved on the way to such breakthrough technology concerns the scalability of the ...
W. Wernsdorfer, M. Ruben
semanticscholar +1 more source