Results 41 to 50 of about 210,506 (318)
Some Remarks on Smooth Mappings of Hilbert and Banach Spaces and Their Local Convexity Property
AxiomsWe analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radii of the balls are small enough.
Yarema A. Prykarpatskyy +3 more
doaj +1 more source
Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces
Journal of Function Spaces and Applications, 2012 This paper presents a generalization of the concept and uses of projected dynamical systems to the case of nonpivot Hilbert spaces. These are Hilbert spaces in which the topological dual space is not identified with the base space.
Monica Gabriela Cojocaru, Stephane Pia
doaj +1 more source
Deterministic Detection of Single Ion Implantation
Advanced Engineering Materials, EarlyView.Focused ion beam implantation with high detection efficiencies will enable the rapid and scalable fabrication of advanced spin‐based technologies such as qubits. This work presents the detection efficiencies of a wide range of ions implanted into solid‐state hosts, with efficiencies of >90% recorded for ion species and substrate combinations of ...
Mason Adshead +6 more
wiley +1 more source
Consistent quantum mechanics admits no mereotopology
, 2012 It is standardly assumed in discussions of quantum theory that physical systems can be regarded as having well-defined Hilbert spaces. It is shown here that a Hilbert space can be consistently partitioned only if its components are assumed not to ...
AC Varzi +22 more
core +1 more source
Imaging of Biphoton States: Fundamentals and Applications
Advanced Functional Materials, EarlyView.Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley +1 more source
Abstract and Applied Analysis, 2012 The concept of g-basis in Hilbert spaces is introduced, which generalizes Schauder basis in Hilbert spaces. Some results about g-bases are proved. In particular, we characterize the g-bases and g-orthonormal bases. And the dual g-bases are also discussed.
Xunxiang Guo
doaj +1 more source
Advanced Materials, EarlyView.The field of polymer thermoelectrics is entering a new era, featuring breakthroughs in addressing the conventional performance disparity between p‐type and n‐type polymers, pioneering doping frontiers, and sophisticated decoupling strategies. This review explores innovations in molecular design and superior stabilities, bridging the gap from ...
Suhao Wang
wiley +1 more source
An embedding theorem for Hilbert categories [PDF]
, 2008 We axiomatically define (pre-)Hilbert categories. The axioms resemble those for monoidal Abelian categories with the addition of an involutive functor.
Heunen, Chris
core +4 more sources
A few results on Mourre theory in a two-Hilbert spaces setting
, 2011 We introduce a natural framework for dealing with Mourre theory in an abstract two-Hilbert spaces setting. In particular a Mourre estimate for a pair of self-adjoint operators (H,A) is deduced from a similar estimate for a pair of self-adjoint operators (
de Aldecoa, R. Tiedra, Richard, S.
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source