Results 61 to 70 of about 38,445 (215)
On an extension of the Iwatsuka model
, 2016 We prove absolute continuity for an extended class of two-dimensional magnetic Hamiltonians that were initially studied by A. Iwatsuka. In particular, we add an electric field that is translation invariant in the same direction as the magnetic field is ...
Tusek, Matej
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Gallium Nitride Semiconductor Resonant Tunneling Transistor
Advanced Science, EarlyView.Three‐terminal GaN semiconductor resonant tunneling transistors (RTTs), which comprise an double‐barrier AlN/GaN/AlN resonant tunneling diode integrated with a GaN high‐electron‐mobility transistor (HEMT) through epitaxial growth in series and parallel configuraions, respectively.
Fang Liu +15 more
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Bound states of the discrete Schrodinger equation with compactly supported potentials
Electronic Journal of Differential Equations, 2019 The discrete Schrodinger operator is considered on the half-line lattice $n\in \{1,2,3,\dots\}$ with the Dirichlet boundary condition at $n=0$. It is assumed that the potential belongs to class $\mathcal{A}_b$, i.e. it is real valued, vanishes when n>
Tuncay Aktosun +2 more
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An estimate for the number of bound states of the Schrödinger operator in two dimensions [PDF]
, 2004 For the Schrödinger operator -Δ + V on R^2 be the number of bound states. One obtains the following estimate: N(V) ≤ 1 + ∫_(R^2)∫_(R^2)|V(x)|V(y)|C_(1)ln|x-y|+C_2|^2 dx dy where C_1 = -1/2π and C_2 = (ln2-γ)/2π (γ is the Euler constant).
Stoiciu, Mihai
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Advanced Science, EarlyView.The diagram depicts the endothelial‐protective mechanism of magnesium lithospermate B (MLB) in sepsis‐associated lung injury. MLB binds GPX4 at Gly79, disrupts its interaction with FUNDC1, prevents mitophagy‐mediated GPX4 degradation, restores mitophagic flux, reduces ROS, and limits ferroptosis.
Zhixi Li +10 more
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Boundary Value Problems, 2019 The application of the new criteria for minimally thin sets with respect to the Schrödinger operator to an approximate solution of singular Schrödinger-type boundary value problems are discussed in this study.
Bo Meng
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Advanced Science, EarlyView.Hypertrophic scar formation is driven by excessive mitochondrial fission in wound macrophages, which we discover is governed by a novel AURKB‐DRP1(Ser616) axis. The study develops a targeted therapy using cRGD‐decorated extracellular vesicles to deliver the natural compound Asiaticoside specifically to macrophages.
Luyu Li +8 more
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Krylov complexity in a natural basis for the Schrödinger algebra
SciPost Physics CoreWe investigate operator growth in quantum systems with two-dimensional Schrödinger group symmetry by studying the Krylov complexity. While feasible for semisimple Lie algebras, cases such as the Schrödinger algebra which is characterized by a semi-direct
Dimitrios Patramanis, Watse Sybesma
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An application to Kato's square root problem
International Journal of Mathematics and Mathematical Sciences, 2002 We find all complex potentials Q such that the general Schrödinger operator on ℝn, given by L=−Δ+Q, where Δ is the Laplace differential operator, verifies the well-known Kato's square problem. As an application, we will consider the case where Q∈Lloc1(Ω)
Toka Diagana
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Do We Understand Quantum Mechanics - Finally? [PDF]
, 2012 After some historical remarks concerning Schroedinger's discovery of wave mechanics, we present a unified formalism for the mathematical description of classical and quantum-mechanical systems, utilizing elements of the theory of operator algebras.
Froehlich, Juerg, Schubnel, Baptiste
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