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N. Boutabba, H. Eleuch (2012)
Mathematical Modelling of Natural Phenomena
We consider two atomic transitions excited by two variable laser fields in a three-level system. We study the soliton-pair propagation out of resonance and under thermal bath effect. We present general analytical implicit expression of the soliton-pair shape. Furthermore, we show that when the coupling to the environment exceeds a critical value, the soliton-pair propagation through three-level atomic system will be prohibited.
K. Kirkpatrick (2012)
Mathematical Modelling of Natural Phenomena
We review some recent results concerning Gibbs measures for nonlinear Schrödinger equations (NLS), with implications for the theory of the NLS, including stability and typicality of solitary wave structures. In particular, we discuss the Gibbs measures of the discrete NLS in three dimensions, where there is a striking phase transition to soliton-like behavior.
Alain Bachelot (1987)
Journées équations aux dérivées partielles
Venkatesulu, M., Baruah, Pallav Kumar (1996)
Journal of Applied Mathematics and Stochastic Analysis
Pahlavani, M.R., Sadeghi, J., Ghezelbash, M. (2009)
APPS. Applied Sciences
Éric Paturel (2000)
Journées équations aux dérivées partielles
In this paper we prove the existence of infinitely many solutions of the Dirac-Fock equations with electrons turning around a nucleus of atomic charge , satisfying and , where is the fundamental constant of the electromagnetic interaction (approximately 1/137). This work is an improvement of an article of Esteban-Séré, where the same result was proved under more restrictive assumptions on .
Miwa, Tetsuji (1998)
Documenta Mathematica
Quesne, Christiane (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Duviryak, Askold (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
S. Duplij (1997)
Semigroup forum
Kalyanapuram Rangachari Parthasarathy (1986)
Séminaire de probabilités de Strasbourg
Corrigan, E. (1985)
Proceedings of the Winter School "Geometry and Physics"
Koornwinder, Tom H. (2000)
International Journal of Mathematics and Mathematical Sciences
Joanna Kaleta (2004)
Discussiones Mathematicae - General Algebra and Applications
This paper presents some manner of characterization of Boolean rings. These algebraic systems one can also characterize by means of some distributivities satisfied in GBbi-QRs.
Varbanov, Zlatko (2007)
Serdica Journal of Computing
* Supported by COMBSTRU Research Training Network HPRN-CT-2002-00278 and the Bulgarian National Science Foundation under Grant MM-1304/03.Additive code C over GF(4) of length n is an additive subgroup of GF(4)n. It is well known [4] that the problem of finding stabilizer quantum error-correcting codes is transformed into problem of finding additive self-orthogonal codes over the Galois field GF(4) under a trace inner product. Our purpose is to construct good additive self-dual codes of length 13...
Z. Haba (1980)
Annales de l'I.H.P. Physique théorique
Fulling, S.A. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
M. Klaus (1981)
Annales de l'I.H.P. Physique théorique
P. De Nápoli, M. C. Mariani (2007)
Studia Mathematica
This work is devoted to generalizing the Lebesgue decomposition and the Radon-Nikodym theorem to Gleason measures. For that purpose we introduce a notion of integral for operators with respect to a Gleason measure. Finally, we give an example showing that the Gleason theorem does not hold in non-separable Hilbert spaces.
Shahn Majid (1997)
Banach Center Publications
We clarify some aspects of quantum group gauge theory and its recent generalisations (by T. Brzeziński and the author) to braided group gauge theory and coalgebra gauge theory. We outline the diagrammatic version of the braided case. The bosonisation of any braided group provides us a trivial principal bundle in three ways.