Results 31 to 40 of about 3,908,270 (279)
Quantum-Like Dynamics in Whole-Brain Models of the Human Connectome. [PDF]
Quantum‐like dynamics in the human brain. The level of quantum‐like behavior in a non‐quantum system of coupled oscillators is regulated by the spectral gap of the coupling graph. Whole‐brain modelling using QL fits the empirical data significantly better and has a lower model‐derived energy cost than the non‐QL model.
Deco G +5 more
europepmc +2 more sources
Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces [PDF]
Some Jensen’s type inequalities for twice differentiable functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
core +5 more sources
Tomography in Abstract Hilbert Spaces [PDF]
The tomographic description of a quantum state is formulated in an abstract infinite-dimensional Hilbert space framework, the space of the Hilbert-Schmidt linear operators, with trace formula as scalar product. Resolutions of the unity, written in terms of over-complete sets of rank-one projectors and of associated Gram-Schmidt operators taking into ...
Vladimir I. Man'ko +3 more
openaire +3 more sources
Flows in Infinite-Dimensional Phase Space Equipped with a Finitely-Additive Invariant Measure
Finitely-additive measures invariant to the action of some groups on a separable infinitedimensional real Hilbert space are constructed. The invariantness of a measure is studied with respect to the group of shifts on a vector of Hilbert space, the ...
Vsevolod Zh. Sakbaev
doaj +1 more source
Hilbert space of wormholes [PDF]
Wormhole boundary conditions for the Wheeler--DeWitt equation can be derived from the path integral formulation. It is proposed that the wormhole wave function must be square integrable in the maximal analytic extension of minisuperspace. Quantum wormholes can be invested with a Hilbert space structure, the inner product being naturally induced by the ...
openaire +5 more sources
Testing the Dimension of Hilbert Spaces [PDF]
Given a set of correlations originating from measurements on a quantum state of unknown Hilbert space dimension, what is the minimal dimension d necessary to describe such correlations? We introduce the concept of dimension witness to put lower bounds on d.
Brunner, N. +5 more
openaire +3 more sources
Reproducing Kernel Hilbert Space vs. Frame Estimates
We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω .
Palle E. T. Jorgensen, Myung-Sin Song
doaj +1 more source
A WEAK HILBERT SPACE THAT IS A TWISTED HILBERT SPACE
We construct a weak Hilbert space that is a twisted Hilbert space.
openaire +2 more sources
Shape Transformation Approaches for Fluid Dynamic Optimization
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
doaj +1 more source
More on doubled Hilbert space in double-scaled SYK
We continue our study of the doubled Hilbert space formalism of double-scaled SYK model initiated in Okuyama (2024) [7]. We show that the 1-particle Hilbert space introduced by Lin and Stanford (2023) [6] is related to the doubled Hilbert space H0⊗H0 of ...
Kazumi Okuyama
doaj +1 more source

