Results 1 to 10 of about 7,743 (177)
Quantum Carnot Bound from Petz Recovery Maps
A quantum bound (ηP$\eta_P$, the Petz Limit) is derived for the efficiency (η$\eta$) of a heat engine utilizing two‐level quantum systems (qubits) as the working substance. This limit, based on Petz recovery maps, is stricter than the classical Carnot limit (ηC$\eta_C$) for irreversible cycles.
Douglas Mundarain +2 more
wiley +1 more source
Endomorphisms of Some Groupoids of Order $k+k^2$
Automorphisms and endomorphisms are actively used in various theoretical studies. In particular, the theoretical interest in the study of automorphisms is due to the possibility of representing elements of a group by automorphisms of a certain algebraic ...
A.V. Litavrin
doaj +1 more source
Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
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
Fixed point property for nonexpansive mappings and nonexpansive semigroups on the unit disk
For closed convex subsets D of a Banach spaces, in 2009, Tomonari Suzuki [11] proved that the fixed point property (FPP) for nonexpansive mappings and the FPP for nonexpansive semigroups are equivalent.
Luis Benítez-Babilonia
doaj
Control of Open Quantum Systems via Dynamical Invariants
Dynamical invariants are used to reverse‐engineer control fields for open quantum systems described by time‐dependent Lindblad master equations. By minimizing an analytic leakage functional, the protocol dynamically steers the state along an effectively decoherence‐free path without costly iterative propagation.
Loris M. Cangemi +4 more
wiley +1 more source
Strong Convergence Theorems for Semigroups of Asymptotically Nonexpansive Mappings in Banach Spaces
Let be a real reflexive Banach space with a weakly continuous duality mapping . Let be a nonempty weakly closed star-shaped (with respect to ) subset of .
D. R. Sahu +2 more
doaj +1 more source
Attractors and upper semicontinuity for an extensible beam with nonlocal structural damping
Abstract We analyze the asymptotic behavior of a class of extensible beam models governed by a nonlocal structural damping mechanism of the form φ(El)(−Δ)βut$\varphi (E_l)(-\Delta)^{\beta }u_t$, where β∈λ=(0,1]$\beta \in \lambda =(0,1]$. The coefficient φ$\varphi$ is a degenerate C1$C^{1}$‐function depending on the linear energy El$E_l$ of the system ...
Zayd Hajjej +3 more
wiley +1 more source
Let C be a nonempty closed convex subset of a uniformly convex Banach space E with a Fréchet differentiable norm, G a right reversible semitopological semigroup, and 𝒮={S(t):t∈G} a continuous representation of G as mappings of asymptotically nonexpansive
Jong Soo Jung +2 more
doaj +1 more source
On the semigroups of Fredholm mappings [PDF]
LetE1andE2be real Banach spaces and letL(E1) andL(E2) be the Banach algebras of all continuous linear mappings onE1andE2respectively. It is a well- known result of M. Eidelheit [1] thatL(E1) thatL(E2) are isomorphic as rings if and only ifE1andE2are topologically and algebraically isomorphic.
openaire +1 more source
Jordan homomorphisms and T‐ideals
Abstract Let A$A$ and B$B$ be associative algebras over a field F$F$ with char(F)≠2${\rm char}(F)\ne 2$. Our first main result states that if A$A$ is unital and equal to its commutator ideal, then every Jordan epimorphism φ:A→B$\varphi:A\rightarrow B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily
Matej Brešar, Efim Zelmanov
wiley +1 more source

