Results 31 to 40 of about 114 (48)

Spinor calculus on 5-dimensional spacetimes [PDF]

, 2009
Penrose's spinor calculus of 4-dimensional Lorentzian geometry is extended to the case of 5-dimensional Lorentzian geometry. Such fruitful ideas in Penrose's spinor calculus as the spin covariant derivative, the curvature spinors or the definition of the
Alfonso García-Parrado Gómez-Lobo, Coley A, Emparan R, García-Parrado A, José M Martín-García, Ortaggio M, Penrose R, Penrose R, Pravda V   +8 more
core   +4 more sources

On elliptic solutions of the cubic complex one-dimensional Ginzburg-Landau equation

, 2005
The cubic complex one-dimensional Ginzburg-Landau equation is considered. Using the Hone's method, based on the use of the Laurent-series solutions and the residue theorem, we have proved that this equation has neither elliptic standing wave nor elliptic
A. N. W. Hone, E. Fan, E. I. Timoshkova, E. I. Timoshkova, F. Cariello, G. P. Agrawal, G. S. Santos, I. Aranson, K. Nozaki, L. A. Takhtadzhyan, L. Brusch, M. C. Cross, M. Hecke van, M. Hecke van, M. J. Ablowitz, M. Musette, N. A. Kudryashov, N. A. Kudryashov, N. N. Akhmediev, P. Painleve, R. Conte, R. Conte, R. Conte, S. Yu. Vernov, S. Yu. Vernov, S. Yu. Vernov, V. A. Vladimirov, V. L. Ginzburg, W. Saarloos van   +28 more
core   +3 more sources

Some new uses of the η_m(Z) functions [PDF]

, 2010
We present a procedure and a MATHEMATICA code for the conversion of formulae expressed in terms of the trigonometric functions sin(omega x), cos(omega x) or hyperbolic functions sinh(lambda x), cosh(lambda x) to forms expressed in terms of eta(m)(Z ...
CONTE, Dajana, ESPOSITO, ELENA, Liviu Ixaru, PATERNOSTER, Beatrice   +3 more
core   +1 more source

Efficient Algorithm for Asymptotics-Based Configuration-Interaction Methods and Electronic Structure of Transition Metal Atoms

, 2010
Asymptotics-based configuration-interaction (CI) methods [G. Friesecke and B. D. Goddard, Multiscale Model. Simul. 7, 1876 (2009)] are a class of CI methods for atoms which reproduce, at fixed finite subspace dimension, the exact Schr\"odinger ...
Christian B. Mendl, Froese Fischer C., Gero Friesecke, Lax P. D., Lide D. R., Ralchenko Y., Szabo A., Zhislin G. M.   +7 more
core   +1 more source

A new approach to the epsilon expansion of generalized hypergeometric functions

, 2013
Assumed that the parameters of a generalized hypergeometric function depend linearly on a small variable $\varepsilon$, the successive derivatives of the function with respect to that small variable are evaluated at $\varepsilon=0$ to obtain the ...
Greynat, David, Sesma, Javier
core   +3 more sources

Singular value decomposition and matrix reorderings in quantum information theory

, 2011
We review Schmidt and Kraus decompositions in the form of singular value decomposition using operations of reshaping, vectorization and reshuffling. We use the introduced notation to analyse the correspondence between quantum states and operations with ...
Bernstein D. S., Brandao F. G. S. L., Hayashi M., Heinosaari T., Horn R. A., Horn R. A., JAROSŁAW ADAM MISZCZAK, Nielsen M. A., Roth W. E., Schmidt E.   +9 more
core   +1 more source

"Dressing" lines and vertices in calculations of matrix elements with the coupled-cluster method and determination of Cs atomic properties

, 2004
We consider evaluation of matrix elements with the coupled-cluster method. Such calculations formally involve infinite number of terms and we devise a method of partial summation (dressing) of the resulting series.
A. Derevianko, Andrei Derevianko, I. Lindgren, Sergey G. Porsev   +3 more
core   +1 more source

[SADE] A Maple package for the Symmetry Analysis of Differential Equations

, 2010
We present the package SADE (Symmetry Analysis of Differential Equations) for the determination of symmetries and related properties of systems of differential equations.
Anderson, Annibal Figueiredo, Baumann, Bluman, Bluman, Bluman, Brenig, Burgers, Butcher, Cardeal, Carminati, Cheb-Terrab, Cheviakov, Clarkson, Clarkson, Díaz-Sierra, Figueiredo, Figueiredo, Gross, Hereman, Hill, Hydon, Liboff, Markus, Olver, Olver, Ovsjannikov, Pohjanpelto, Reid, Reid, Rocha Filho, Rocha Filho, Schwarz, Schwarz, Schwarz, Sherring, Silva, Steeb, Stephani, Tarcísio M. Rocha Filho, Vu, Weinberg   +41 more
core   +1 more source

Adomian's decomposition method for electromagnetically induced transparency [PDF]

[[abstract]]We developed the Adomian's decomposition method to work for the electromagnetically induced transparency (EIT) problem. The method is general and capable to solve the coupled nonlinear partial differential equations for a light pulse passing ...
Kao YM
core   +2 more sources

xPand: An algorithm for perturbing homogeneous cosmologies

, 2013
In this paper, we develop in detail a fully geometrical method for deriving perturbation equations about a spatially homogeneous background. This method relies on the 3+1 splitting of the background space-time and does not use any particular set of ...
Pitrou, Cyril, Roy, Xavier, Umeh, Obinna
core   +2 more sources