Two Algorithms for Constructing Solvable Quantum $$N\cdot 2^k$$N·2k and $$N\cdot 3^k$$N·3k-Body Models
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DOI: 10.1007/s00601-018-1447-y
Abstract: In this work, we provide two algorithms to construct solvable quantum many-body models of $$N\cdot 2^k$$N·2k and $$N\cdot 3^k$$N·3k particles. Each algorithm will start with a solvable model and generate a series of solvable Hamiltonians… read more here.
Keywords: solvable quantum; two algorithms; body models; cdot cdot ... See more keywords
Non-local Diffusion Equations Involving the Fractional $$p(\cdot )$$p(·)-Laplacian
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DOI: 10.1007/s10884-019-09745-2
Abstract: In this paper we study a class of nonlinear quasi-linear diffusion equations involving the fractional $$p(\cdot )$$p(·)-Laplacian with variable exponents, which is a fractional version of the nonhomogeneous $$p(\cdot )$$p(·)-Laplace operator. The paper is divided… read more here.
Keywords: involving fractional; cdot laplacian; fractional cdot; diffusion equations ... See more keywords
Christoffel Transformation for a Matrix of Bi-variate Measures
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DOI: 10.1007/s11785-019-00947-6
Abstract: We consider the sequences of matrix bi-orthogonal polynomials with respect to the bilinear forms \(\left\langle {\cdot ,\cdot }\right\rangle _{{{\hat{R}}}}\) and \(\left\langle {\cdot ,\cdot }\right\rangle _{{{\hat{L}}}}\) $$\begin{aligned} \begin{array}{cc} \langle P(z_1),Q(z_2)\rangle _{{\hat{R}}}=\displaystyle \int \limits _{{\mathbb {T}}\times {\mathbb… read more here.
Keywords: cdot cdot; rangle hat; right rangle; left langle ... See more keywords
A quantitative study of weak noncovalent interactions in two pyridine isomers containing nitrile and thiophene moieties: a combined X-ray and theoretical investigation
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DOI: 10.1007/s12039-019-1636-3
Abstract: Single crystals of two pyridine isomers containing cyano and thiophene moieties {systematic names: (Z)-2-(pyridine-2-yl)-3-(thiophen-2-yl)acrylonitrile, $$\hbox {C}_{{12}}\hbox {H}_{{8}}\hbox {N}_{{2}}\hbox {S}$$C12H8N2S, I and (Z)-2-(pyridine-3-yl)-3-(thiophen-2-yl)acrylonitrile, $$\hbox {C}_{{12}}\hbox {H}_{{8}}\hbox {N}_{{2}}\hbox {S}$$C12H8N2S, II} were obtained from ethanol-cyclohexane mixture. The thiophene… read more here.
Keywords: pyridine; hbox hbox; cdot cdot; cdot ... See more keywords
Existence of weak and renormalized solutions of degenerated elliptic equation
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DOI: 10.1007/s13370-019-00682-3
Abstract: We consider the degenerate nonlinear elliptic equation (E) : $${\mathcal {A}}(u)= g-{\text {div}}(f)$$A(u)=g-div(f), where $${\mathcal {A}}(u)=-{\text {div}}(a(x,u,\nabla u))$$A(u)=-div(a(x,u,∇u)) is a Leray-Lions operator defined on $$W_0^{1,p(\cdot )}(\Omega )$$W01,p(·)(Ω) allowed to be non linear degenerated. The main… read more here.
Keywords: elliptic equation; weak renormalized; existence weak; cdot ... See more keywords
gK-algebra associated to polygroups
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DOI: 10.1007/s13370-021-00908-3
Abstract: In this paper, we first introduce a generalized K-algebra (briefly, gK-algebra) $$(P, \cdot , \odot , e, ^{-1})$$ which is constructed on a non-symmetric polygroup $$(P, \cdot , e, ^{-1})$$ , by adjoining binary hyperoperation… read more here.
Keywords: algebra associated; cdot; associated polygroups;
Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
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DOI: 10.1103/physrevd.107.074506
Abstract: We present a lattice determination of the leading-order hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment, $a_{\mu}^{\rm HVP}$, in the so-called short and intermediate time-distance windows, $a_{\mu}^{\rm SD}$ and $a_{\mu}^{\rm W}$, defined… read more here.
Keywords: cdot; distance; twisted mass; short intermediate ... See more keywords
Vertical Geometry, 2-A Forward Current Ga 2 O 3 Schottky Rectifiers on Bulk Ga 2 O 3 Substrates
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DOI: 10.1109/ted.2018.2838439
Abstract: Large area (up to 0.2 cm2) Ga2O3 rectifiers without edge termination were fabricated on a Si-doped n-Ga2O3 drift layer grown by halide vapor phase epitaxy on a Sn-doped n+Ga2O3 (001) substrate. A forward current of… read more here.
Keywords: temperature; geometry; forward current; vertical geometry ... See more keywords
Several non-standard problems for the stationary Stokes system
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DOI: 10.1515/anly-2018-0035
Abstract: Abstract This paper studies the Stokes system - Δ ???? + ∇ ρ = ???? {-\Delta{\mathbf{u}}+\nabla\rho={\mathbf{f}}} , ∇ ⋅ ???? = χ {\nabla\cdot{\mathbf{u}}=\chi} in Ω with three boundary conditions: ???? ⋅ ???? =… read more here.
Keywords: displaystyle mathbf; cdot mathbf; mathbf cdot; mathbf ... See more keywords
A generalization of functional limit theorems on the Riemann zeta process
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DOI: 10.18910/73631
Abstract: $\zeta(\cdot)$ being the Riemann zeta function, $\zeta_{\sigma}(t) := \frac{\zeta(\sigma + i t)}{\zeta(\sigma)}$ is, for $\sigma > 1$, a characteristic function of some infinitely divisible distribution $\mu_{\sigma}$. A process with time parameter $\sigma$ having $\mu_{\sigma}$ as… read more here.
Keywords: functional limit; sigma; process; riemann zeta ... See more keywords