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A planar pentacoordinate oxygen in the experimentally observed [Be<sub>5</sub>O<sub>6</sub>]<sup>2-</sup> dianion. [PDF]
Chem SciSun R +5 more
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Electron and Hole Doping Effects on the Magnetic Properties and Band Gap Energy of Ba<sub>2</sub>FeMoO<sub>6</sub> and Sr<sub>2</sub>FeMoO<sub>6</sub>. [PDF]
MoleculesApostolov AT +2 more
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Green functions for superlattices
Physical Review B, 1985A Green-function investigation is made of the (complex) band structure and local density of states of superlattices composed of two alternating component crystals, which are modeled by means of the two-band nearly-free-electron approximation. The variation of different superlattice band structures with component-crystal thickness is studied in detail ...
, Barto, , Davison
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Fractals, 2000
For a regular harmonic structure on a post-critically finite (p.c.f.) self-similar fractal, the Dirichlet problem for the Laplacian can be solved by integrating against an explicitly given Green's function. We give a recursive formula for computing the values of the Green's function near the diagonal, and use it to give sharp estimates for the decay ...
Kigami, Jun +2 more
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For a regular harmonic structure on a post-critically finite (p.c.f.) self-similar fractal, the Dirichlet problem for the Laplacian can be solved by integrating against an explicitly given Green's function. We give a recursive formula for computing the values of the Green's function near the diagonal, and use it to give sharp estimates for the decay ...
Kigami, Jun +2 more
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A green's function for the annulus
Annali di Matematica Pura ed Applicata, 1996The authors determine the Green's function for the operator \(\Delta^2\) in the domain \(\Omega ...
Engliš, Miroslav, Peetre, Jaak
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Journal of Mathematical Physics, 1964
A one-parameter integral representation is given for the momentum space Green's function of the nonrelativistic Coulomb problem.
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A one-parameter integral representation is given for the momentum space Green's function of the nonrelativistic Coulomb problem.
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Physics Today, 2003
In 1828, an English miller from Nottingham published a mathematical essay that generated little response. George Green’s analysis, however, has since found applications in areas ranging from classical electrostatics to modern quantum field theory.
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In 1828, an English miller from Nottingham published a mathematical essay that generated little response. George Green’s analysis, however, has since found applications in areas ranging from classical electrostatics to modern quantum field theory.
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Construction of green's function in terms of green's function of lower dimension
Journal of Applied Mathematics and Mechanics, 1968The problem under consideration is the construction of Green's functions for \(m\)-th order linear partial differential operators with constant coefficients in \(n\)-dimensional space in terms of the Green's function in \((n-1)\)-dimensional hyperplanes. In the end the results are applied to 3-dimensional problems in anisotropic elasticity.
Indenbom, V. L., Orlov, S. S.
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Journal of Mathematical Physics, 1997
Green’s functions are valuable analytical tools for solving a myriad of boundary-value problems in mathematical physics. Here, Green’s functions of the Laplacian and biharmonic operators are derived for a three-dimensional toroidal domain. In some sense, the former result may be regarded as “standard,” but the latter is most certainly not.
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Green’s functions are valuable analytical tools for solving a myriad of boundary-value problems in mathematical physics. Here, Green’s functions of the Laplacian and biharmonic operators are derived for a three-dimensional toroidal domain. In some sense, the former result may be regarded as “standard,” but the latter is most certainly not.
openaire +1 more source