Optical leptons.
Kovachev, Lubomir M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Kovachev, Lubomir M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Kovachev, Lubomir M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Alkahby, H.Y. (1993)
International Journal of Mathematics and Mathematical Sciences
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Jürg Fröhlich, Enno Lenzmann (2003-2004)
Séminaire Équations aux dérivées partielles
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We discuss the Hartree equation arising in the mean-field limit of large systems of bosons and explain its importance within the class of nonlinear Schrödinger equations. Of special interest to us is the Hartree equation with focusing nonlinearity (attractive two-body interactions). Rigorous results for the Hartree equation are presented concerning: 1) its derivation from the quantum theory of large systems of bosons, 2) existence and stability of Hartree solitons, and 3) its point-particle...
Donato Fortunato (2008)
Bollettino dell'Unione Matematica Italiana
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Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localized packet; by soliton, we mean a solitary wave which exhibits some form of stability. In this respect solitary waves and solitons have a particle-like behavior and they occur in many questions of mathematical physics, such as superconductivity, phase transition, classical and quantum field theory, non linear optics, (see e.g. [37], [50], [56]). We are not interested in the study of a particular...
Vladimír Šíma, Zbyněk Smetana (1988)
Acta Universitatis Carolinae. Mathematica et Physica
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Alkahby, Hadi Yahya, Mahrous, M.A. (1998)
International Journal of Mathematics and Mathematical Sciences
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Thierry Colin, Michael I. Weinstein (1996)
Annales de l'I.H.P. Physique théorique
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Udrişte, C., Balan, V., Udrişte, A. (1999)
APPS. Applied Sciences
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