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A priori estimates for high frequency scattering by obstacles of arbitrary shape
high frequency scattering bstacles of arbitrary shape
2010/12/27
High frequency estimates for the Dirichlet-to-Neumann and Neumann-to-Dirichlet operators are obtained for the Helmholtz equation in the exterior of bounded obstacles. These a priory estimates are use...
We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gra...
Arbitrary-order non-linear contribution to self-steepening
Arbitrary-order non-linear self-steepening
2010/11/16
Based on the recently published generalized Miller formula, we derive the spectral dependence of the contribution of arbitrary-order non-linear indices to the group-velocity index. We show that in th...
Unified treatment of complex and real rotation-angular functions for two-center overlap integrals over arbitrary atomic orbitals
real rotation-angular functions two-center overlap integrals
2010/11/12
The new combined formulas have been established for the complex and real rotation-angular functions arising in the evaluation of two-center overlap integrals over arbitrary atomic orbitals in molecula...
Efficient Computation of Casimir Interactions between Arbitrary 3D Objects with Arbitrary Material Properties
Efficient Computation Casimir Interactions Arbitrary 3D Objects Arbitrary Material Properties
2010/11/9
We extend a recently introduced method for computing Casimir forces between arbitrarily--shaped metallic objects [M. T. H. Reid et al., Phys. Rev. Lett._103_ 040401 (2009)] to allow treatment of objec...