Results 51 to 60 of about 62,388 (221)

Harmonic blending approximation

open access: yesJournal of Numerical Analysis and Approximation Theory, 2001
The concept of harmonic Hilbert space \(H_D({\mathbb R} ^n)\) was introduced in [2] as an extension of periodic Hilbert spaces [1], [2], [5], [6]. In [4] we introduced multivariate harmonic Hilbert spaces and studied approximation by exponential-type ...
Franz-Jürgen Delvos
doaj   +2 more sources

A Clarification on Quantum‐Metric‐Induced Nonlinear Transport

open access: yesAdvanced Science, EarlyView.
How does the quantum metric truly govern the nonlinear transport? The longstanding theoretical discrepancies are resolved in quantum‐metric‐induced nonlinear transport and the correct intrinsic nonlinear conductivity is identified. Furthermore, a toy model is engineered to suppress the competing effects, uniquely highlighting the role of quantum metric
Xiao‐Bin Qiang   +4 more
wiley   +1 more source

Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups

open access: yesInternational Journal of Analysis and Applications, 2013
This paper gives an interpretation of the Fourier-Stieltjes transform of vector measures by means of the tensor product of Hilbert spaces. It also extends the Kronecker product to some operators arising from the Fourier-Stieltjes transformation and ...
Yaogan MENSAH
doaj   +2 more sources

The Representation of Numbers by States in Quantum Mechanics [PDF]

open access: yes, 2000
The representation of numbers by tensor product states of composite quantum systems is examined. Consideration is limited to k-ary representations of length L and arithmetic modulo k^{L}.
Benioff, Paul
core   +3 more sources

A completely entangled subspace of maximal dimension

open access: yes, 2004
A completely entangled subspace of a tensor product of Hilbert spaces is a subspace with no non-trivial product vector. K. R. Parthasarathy determined the maximum dimension possible for such a subspace.
Bhat, B. V. Rajarama
core   +1 more source

Symmetry Breaking in Chemical Systems: Engineering Complexity Through Self‐Organization and Marangoni Flows

open access: yesAdvanced Science, EarlyView.
We show that solutal Marangoni flows in thin films climbing the outer surfaces of hydrophilic obstacles break circular Belousov‐Zhabotinsky waves into striking flower‐like patterns. Evaporation‐driven surface‐tension gradients, coupled with gravity, trigger the instability; above a threshold, petal number scales linearly with obstacle diameter ...
Sangram Gore   +9 more
wiley   +1 more source

Machine Learning for Accelerating Energy Materials Discovery: Bridging Quantum Accuracy with Computational Efficiency

open access: yesAdvanced Energy Materials, EarlyView.
This perspective highlights how machine learning accelerates sustainable energy materials discovery by integrating quantum‐accurate interatomic potentials with property prediction frameworks. The evolution from statistical methods to physics‐informed neural networks is examined, showcasing applications across batteries, catalysts, and photovoltaics ...
Kwang S. Kim
wiley   +1 more source

Distinguishing multi-partite states by local measurements

open access: yes, 2013
We analyze the distinguishability norm on the states of a multi-partite system, defined by local measurements. Concretely, we show that the norm associated to a tensor product of sufficiently symmetric measurements is essentially equivalent to a multi ...
A.S. Holevo   +10 more
core   +2 more sources

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

open access: yesAdvanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

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