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Basic results in the rigorous theory of weighted dynamical zeta functions
or dynamically defined generalized Fredholm determinants are presented. Analytic
properties of the zeta functions or d...
Linear superpositions of gap solitons in periodic Kerr media
Linear superpositions gap solitons periodic Kerr media
2011/8/3
Abstract: The existence of a novel type of solitons in periodic Kerr media constructed as superposition of noninteracting gap-solitons of different kinds (bright, dark and periodic) is first demonstra...
Solitons in thermal media with periodic modulation of linear refractive index
thermal media periodic modulation linear refractive index
2011/9/6
We address the existence and the properties of solitons in thermal media with periodic distribution of two different linear refractive indices. Many kinds of
solitons in such optical lattices, includ...
Comment on the uncertainty relation with periodic boundary conditions
Comment uncertainty relation periodic boundary conditions
2010/10/21
The Kennard-type uncertainty relation xp > ~2 is formulated for a free particle with given momentum hˆpi inside a box with periodic boundary conditions in the large box limit. Our
construction...
Internal Space-time Symmetries of Particles derivable from Periodic Systems in Optics
Internal Space-time Symmetries Particles derivable Periodic Systems in Optics
2010/10/27
While modern optics is largely a physics of harmonic oscillators and two-by-two matrices, it is possible to learn about some hidden properties of the two-by-two matrix from optical systems. Since two-...