Results 41 to 50 of about 4,765 (143)

Non‐Relativistic Limit of Dirac Hamiltonians With Aharonov–Bohm Fields

open access: yesStudies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We characterize the families of self‐adjoint Dirac and Schrödinger operators with Aharonov–Bohm magnetic field, and we exploit the non‐relativistic limit of infinite light speed to connect the former to the latter. The limit consists of the customary removal of the rest energy and of a suitable scaling, with the light speed, of the short‐scale
Matteo Gallone   +2 more
wiley   +1 more source

Some inequalities for unitarily invariant norm

open access: yesLinear Algebra and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matharu, Jagjit Singh   +1 more
openaire   +1 more source

Gruss inequality for some types of positive linear maps [PDF]

open access: yes, 2014
Assuming a unitarily invariant norm $|||\cdot|||$ is given on a two-sided ideal of bounded linear operators acting on a separable Hilbert space, it induces some unitarily invariant norms $|||\cdot|||$ on matrix algebras $\mathcal{M}_n$ for all finite ...
Jagjit Singh   +2 more
core  

Least-Squares Approximation by Elements from Matrix Orbits Achieved by Gradient Flows on Compact Lie Groups

open access: yes, 2008
Let $S(A)$ denote the orbit of a complex or real matrix $A$ under a certain equivalence relation such as unitary similarity, unitary equivalence, unitary congruences etc.
Li, C. K.   +2 more
core   +3 more sources

Disentanglement by Deranking and by Suppression of Correlation

open access: yesAdvanced Quantum Technologies, Volume 9, Issue 3, March 2026.
ABSTRACT The spontaneous disentanglement hypothesis is motivated by some outstanding issues in standard quantum mechanics, including the problem of quantum measurement. The current study compares between some possible methods that can be used to implement the hypothesis.
Eyal Buks
wiley   +1 more source

On quantum ergodicity for higher‐dimensional cat maps modulo prime powers

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract A discrete model of quantum ergodicity of linear maps generated by symplectic matrices A∈Sp(2d,Z)$A \in \operatorname{Sp}(2d,{\mathbb {Z}})$ modulo an integer N⩾1$N\geqslant 1$, has been studied for d=1$d=1$ and almost all N$N$ by Kurlberg and Rudnick (2001, Comm. Math. Phys., 222, 201–227).
Subham Bhakta, Igor E. Shparlinski
wiley   +1 more source

On some inequalities for unitarily invariant norms [PDF]

open access: yesJournal of Mathematical Inequalities, 2013
In this paper, we present several inequalities for unitarily invariant norms by using the convexity of the function g(r )= A r XB 2−r +A 2−r XB r on the interval (0,2). Our results are refinements of some existing inequalities.
Xiaohui Fu, Chuanjiang He
openaire   +1 more source

Scattering theory for difference equations with operator coefficients

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher   +3 more
wiley   +1 more source

Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.
ABSTRACT This study introduces a framework for learning a low‐depth surrogate quantum circuit (SQC) that approximates the nonlinear, dissipative, and hence non‐unitary Bhatnagar–Gross–Krook (BGK) collision operator in the lattice Boltzmann method (LBM) for the D2Q9$$ {D}_2{Q}_9 $$ lattice.
Monica Lăcătuş, Matthias Möller
wiley   +1 more source

On unitarily invariant norms of matrix-valued linear positive operators

open access: yesJournal of Inequalities and Applications, 2002
In this paper we prove several inequalities concerning invariant norms of matrices belonging to the range of some matrix-valued Linear Positive Operator (LPO).
Tilli Paolo, Capizzano Stefano Serra
doaj  

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