Articles with "cdot cdot" as a keyword



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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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Published in 2018 at "Few-Body Systems"

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
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Christoffel Transformation for a Matrix of Bi-variate Measures

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Published in 2019 at "Complex Analysis and Operator Theory"

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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Published in 2019 at "Journal of Chemical Sciences"

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