Frequency‐Modulation‐Enhanced Ground‐State Cooling of Coupled Mechanical Resonators
Sign Up to like & getrecommendations! Published in 2019 at "Annalen der Physik"
DOI: 10.1002/andp.201900193
Abstract: The coupled mechanical resonators (MRs) are the prominent candidate for studying macroscopic quantum coherence. The prerequisite for observing macroscopic mechanical coherence is cooling the MRs to their ground state. Here, a theoretical scheme is proposed… read more here.
Keywords: coupled mechanical; ground state; mechanical resonators; frequency modulation ... See more keywords
Rigidified Push-Pull Dyes: Using Chromophore Size, Donor, and Acceptor Units to Tune the Ground State between Neutral and the Cyanine Limit.
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DOI: 10.1002/cplu.201700347
Abstract: A series of rigidified dyes with either dodecyloxy or piperidyl donors in combination with either malononitrile or barbiturate acceptors were synthesized. To analyze the influence of varying the donor (piperidyl vs. dodecyloxy), chromophore (mono-, bis-,… read more here.
Keywords: acceptor; donor; ground state; cyanine ... See more keywords
Insights on the role of hox genes in the emergence of the pentadactyl ground state
Sign Up to like & getrecommendations! Published in 2018 at "genesis"
DOI: 10.1002/dvg.23046
Abstract: Tetrapods are characterized by the presence of digits at the distal end of their limbs, which have emerged during the transition from fins to limbs. While variations in digit number are observed in extant tetrapods,… read more here.
Keywords: state; pentadactyl; pentadactyl ground; emergence pentadactyl ... See more keywords
Computational study of ground-state properties of μ2 -bridged group 14 porphyrinic sandwich complexes.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of computational chemistry"
DOI: 10.1002/jcc.26870
Abstract: The structural properties of μ2 -bridged porphyrinic double-decker complexes are investigated and the influence of various ligands, metals, substituents, and bridging atoms on the dominant structural motif is elucidated. A variety of quantum chemical methods… read more here.
Keywords: bridged group; ground state; computational study; properties bridged ... See more keywords
Ground state solutions for asymptotically linear Schrödinger equations on locally finite graphs
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10145
Abstract: We are considered with the following nonlinear Schrödinger equation: −Δu+(λa(x)+1)u=f(u),x∈V,$$ -\Delta u+\left(\lambda a(x)+1\right)u=f(u),x\in V, $$ on a locally finite graph G=(V,E)$$ G=\left(V,E\right) $$ , where V$$ V $$ denotes the vertex set, E$$ E $$… read more here.
Keywords: schr dinger; asymptotically linear; state; ground state ... See more keywords
Ground State Solutions for the Choquard Equation With the Lower Critical Exponent and Riesz Fractional Laplacian
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DOI: 10.1002/mma.10894
Abstract: In this study, we explore both the nonexistence and existence of a nonzero solution for the following Choquard equation (CE): −∆u+𝒱(ϰ)u=−∆D0−α2*|u|αN+1|u|αN−1u,inℝN,u∈H1ℝN, where α∈(0,N),N≥3,$$ \alpha \in \left(0,N\right),N\ge 3, $$ * represents the convolution within ℝN$$ {\mathbb{R}}^N… read more here.
Keywords: equation; riesz fractional; ground state; exponent ... See more keywords
Ground state of solutions for a class of fractional Schrödinger equations with critical Sobolev exponent and steep potential well
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4527
Abstract: In this paper, we study the following fractional Schrodinger equations: (−△)αu+λV(x)u=κ|u|q−2u|x|s+β|u|2α∗−2u,u∈Hα(RN),N⩾3,(1) where (−△)α is the fractional Laplacian operator with α∈(0,1),2≤q≤2α,s∗=2(N−s)N−2α≤2α∗=2NN−2α, 0≤s≤2α, λ>0, κ and β are real parameter. 2α∗ is the critical Sobolev exponent. We… read more here.
Keywords: sobolev; sobolev exponent; critical sobolev; ground state ... See more keywords
Complete classification of ground state solutions with different Morse index for critical fractional Laplacian system
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6862
Abstract: In this paper, we first obtain the existence of positive ground state solutions for the following critical fractional Laplacian system: (−Δ)su=μ1|u|2s∗−2u+αγ2s∗|u|α−2u|v|βinℝn,(−Δ)sv=μ2|v|2s∗−2v+βγ2s∗|u|α|v|β−2vinℝn, then we give a complete classification of positive ground state solutions with different Morse… read more here.
Keywords: ground state; morse index; state solutions; ground ... See more keywords
Relationship between the Auger parameter and the ground state valence charge of the core‐ionized atom: The case of Cu(I) and Cu (II) compounds
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DOI: 10.1002/sia.6704
Abstract: We develop a simple semiempirical model that correlates the Auger parameter to the ground state valence charge of the core‐ionized atom with closed shell electron configuration. Until now, the Auger parameter was employed to separate… read more here.
Keywords: ground state; parameter; auger parameter; valence charge ... See more keywords
Disrupting Interactions Between β‐Catenin and Activating TCFs Reconstitutes Ground State Pluripotency in Mouse Embryonic Stem Cells
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DOI: 10.1002/stem.2647
Abstract: The 2i‐media, composed of two small molecule inhibitors (PD0325901 and CHIR99021) against MEK and GSK3‐kinases, respectively, is known to establish naïve ground state pluripotency in mouse embryonic stem cells (mESCs). These inhibitors block MEK‐mediated differentiation,… read more here.
Keywords: state; stem cells; pluripotency; state pluripotency ... See more keywords
Bootstrapping ground state correlators in matrix theory. Part I
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DOI: 10.1007/jhep01(2025)190
Abstract: The D0-brane/Banks-Fischler-Shenker-Susskind matrix theory is a strongly coupled quantum system with an interesting gravity dual. We develop a scheme to derive bootstrap bounds on simple correlators in the matrix theory at infinite N at zero… read more here.
Keywords: bootstrapping ground; ground state; correlators matrix; matrix theory ... See more keywords