Results 31 to 40 of about 20,153 (290)

The quantum information manifold for epsilon-bounded forms

open access: yes, 1999
Let H be a self-adjoint operator bounded below by 1, and let V be a small form perturbation such that RVS has finite norm, where R is the resolvent at zero to the power 1/2 +epsilon, and S is the resolvent to the power 1/2-epsilon.
Amari   +21 more
core   +1 more source

Quantum damped oscillator II: Bateman's Hamiltonian vs. 2D Parabolic Potential Barrier [PDF]

open access: yes, 2005
We show that quantum Bateman's system which arises in the quantization of a damped harmonic oscillator is equivalent to a quantum problem with 2D parabolic potential barrier known also as 2D inverted isotropic oscillator.
Abramowitz   +25 more
core   +2 more sources

ON PERTURBATION OF K-REGULARIZED RESOLVENT FAMILIES

open access: yesTaiwanese Journal of Mathematics, 2003
The authors introduce the notion of a \(k\)-regularized resolvent family, being a resolvent family satisfying a given Volterra integral equation, and express the generator of the resolvent family in terms of the kernel function \(k\), specialize the result for \(\alpha\)-integrated semigroup generators, and derive an additive perturbation result.
Lizama, Carlos, S ´anchez, Justino
openaire   +3 more sources

Semigroup structure underlying evoluations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
A member of a class of evolution systems is defined by averaging a one parameter family of invertible transformations G with a semigroup T. The resulting evolution system, U(t,s)=G(t)T(t−s)G(s)−1, preserves continuity and strong continuity, and in case G
G. Edgar Parker
doaj   +1 more source

Mixture and interpolation of the parameterized ordered means

open access: yesJournal of Inequalities and Applications, 2022
Loewner partial order plays a very important role in metric topology and operator inequality on the open convex cone of positive invertible operators.
Sejong Kim
doaj   +1 more source

The snapping out Brownian motion [PDF]

open access: yes, 2016
We give a probabilistic representation of a one-dimensional diffusion equation where the solution is discontinuous at $0$ with a jump proportional to its flux. This kind of interface condition is usually seen as a semi-permeable barrier. For this, we use
Lejay, Antoine
core   +5 more sources

Simultaneous Resolvability in Families of Corona Product Graphs [PDF]

open access: yesBulletin of the Malaysian Mathematical Sciences Society, 2016
arXiv admin note: substantial text overlap with arXiv:1504 ...
Ramírez-Cruz, Yunior   +2 more
openaire   +2 more sources

On a Functional Equation Associated with (a,k)-Regularized Resolvent Families

open access: yesAbstract and Applied Analysis, 2012
Let a∈Lloc1(ℝ+) and k∈C(ℝ+) be given. In this paper, we study the functional equation R(s)(a*R)(t)-(a*R)(s)R(t)=k(s)(a*R)(t)-k(t)(a*R)(s), for bounded operator valued functions R(t) defined on the positive real line ℝ+.
Carlos Lizama, Felipe Poblete
doaj   +1 more source

Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects

open access: yesFractal and Fractional, 2023
We herein report a new class of impulsive fractional stochastic differential systems driven by mixed fractional Brownian motions with infinite delay and Hurst parameter H^∈(1/2,1).
Naima Hakkar   +3 more
doaj   +1 more source

Psychosocial Outcomes in Patients With Endocrine Tumor Syndromes: A Systematic Review

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction The combination of disease manifestations, the familial burden, and varying penetrance of endocrine tumor syndromes (ETSs) is unique. This review aimed to portray and summarize available data on psychosocial outcomes in patients with ETSs and explore gaps and opportunities for future research and care.
Daniël Zwerus   +6 more
wiley   +1 more source

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