Results 51 to 60 of about 4,977,477 (349)
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
Vector valued Hardy spaces [PDF]
, 2018 The Hardy space $H^{p}$ of vector valued analytic functions in tube domains in $\mathbb{C}^{n}$ and with values in Banach space are defined. Vector valued analytic functions in tube domains in $\mathbb{C}^{n}$ with values in Hilbert space and which have ...
Carmichael, Richard D. +2 more
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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
, 2022 Infinite-dimensional systems are widely used to represent many phenomena in the real-world such as properties of elastic material, fluid dynamics, heat conduction, reaction-diffusion processes, etc. A study of the parameters like concentration, temperature, velocity, displacement, etc., are commonly assigned as a state variable.
openaire +3 more sources
Convexity, boundedness, and almost periodicity for differential equations in Hillbert space
International Journal of Mathematics and Mathematical Sciences, 1979 There are three kinds of results. First we extend and sharpen a convexity inequality of Agmon and Nirenberg for certain differential inequalities in Hilbert space.
Jerome A. Goldstein
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Hilbert space representation of the minimal length uncertainty relation. [PDF]
Physical Review D, Particles and fields, 1994 The existence of a minimal observable length has long been suggested in quantum gravity as well as in string theory. In this context a generalized uncertainty relation has been derived which quantum theoretically describes the minimal length as a minimal
Achim Kempf, G. Mangano, R. Mann
semanticscholar +1 more source
Journal of Functional Analysis, 2003 AbstractWe classify several classes of the subspaces of Banach spaces X for which there is a bounded linear operator from a Hilbert space onto a dense subset in X. Dually, we provide optimal affine homeomorphisms from weak star dual unit balls onto weakly compact sets in Hilbert spaces or in c0(Γ) spaces in their weak topology.
Gilles Godefroy +3 more
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Wormholes as Basis for the Hilbert Space in Lorentzian Gravity [PDF]
, 1994 We carry out to completion the quantization of a Friedmann-Robertson-Walker model provided with a conformal scalar field, and of a Kantowski-Sachs spacetime minimally coupled to a massless scalar field.
A. Ashtekar +16 more
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The role of the rigged Hilbert space in Quantum Mechanics
, 2005 There is compelling evidence that, when continuous spectrum is present, the natural mathematical setting for Quantum Mechanics is the rigged Hilbert space rather than just the Hilbert space.
Atkinson D +24 more
core +2 more sources
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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