scholarly journals A quantitative study of orbit counting and discrete spectrum for anti-de Sitter 3-manifolds

Author(s):  
Kazuki Kannaka
2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
Salvatore Mignemi ◽  
Rina Štrajn

We study the representations of the three-dimensional Euclidean Snyder-de Sitter algebra. This algebra generates the symmetries of a model admitting two fundamental scales (Planck mass and cosmological constant) and is invariant under the Born reciprocity for exchange of positions and momenta. Its representations can be obtained starting from those of the Snyder algebra and exploiting the geometrical properties of the phase space that can be identified with a Grassmannian manifold. Both the position and momentum operators turn out to have a discrete spectrum.


Author(s):  
Teruo Someya ◽  
Jinzo Kobayashi

Recent progress in the electron-mirror microscopy (EMM), e.g., an improvement of its resolving power together with an increase of the magnification makes it useful for investigating the ferroelectric domain physics. English has recently observed the domain texture in the surface layer of BaTiO3. The present authors ) have developed a theory by which one can evaluate small one-dimensional electric fields and/or topographic step heights in the crystal surfaces from their EMM pictures. This theory was applied to a quantitative study of the surface pattern of BaTiO3).


1950 ◽  
Vol 16 (1) ◽  
pp. 104-116 ◽  
Author(s):  
Henry D. Janowitz ◽  
Franklin Hollander ◽  
David Orringer ◽  
Milton H. Levy ◽  
Asher Winkelstein ◽  
...  

2011 ◽  
Author(s):  
Douglas R. Polster ◽  
Stephen A. Russo ◽  
David E. Richie ◽  
Susana Quintana Marikle

1997 ◽  
Vol 7 (C2) ◽  
pp. C2-437-C2-438 ◽  
Author(s):  
F. Bartolomé ◽  
J. M. Tonnerre ◽  
D. Raoux ◽  
J. Chaboy ◽  
L. M. Garcia ◽  
...  
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