Ladder parameters

In order to allow for more control during the evaporation, the solution can be placed in a motor-controlled sliding [ 50] or rolling apparatus [51] which uses capillary force to confine the solution between two glass surfaces. The motor determines the speed at which the solution edge is drawn over the substrate and is one of the main parameters to control patterning. Droplet, stripe and ladder patterns have been observed. 

Fano interference, 32, 38 Fast electron distribution, 134 Fast electron generation, 123 Fast electron transport, 125 Fast electrons, 176 Fast-ignition, 124 Femtosecond supercontinuum, 94 Feynman s path integral, 73 Feynman s propagator, 76 Field parameter, 172 Filamentation, 82, 84, 112 Floquet ladder, 11 Fluorescence, 85, 125 FROG, 66 FROG-CRAB, 66... 

Figure 3.44. Views, according to Fredrickson et al. (2004a, b), of the Ru2Sn3 structure type, an example of the chimney-ladder Nowotny phases. On the left, a lateral view of the Ru helix (black balls) and of the Sn helix (white balls). The periods of the two helices (cn and cm) are given together with the lattice parameter c.

Antimony forms polymeric oxyhalides, and not metallic as in BiOCl. The fluoride, SbOF, has been prepared in two forms V, with a ladder structure, and iM which has a layered structure. Both forms have a trigonal bipyramidal structure about antimony with three oxygens, one fluorine and one lone pair. Structural parameters are given in Table 15, from which it can be seen that L-SbOF heads the table as the nearest to an ideal fit for trigonal bipyramidal geometry. 

These are then 12 ladder operators that along with the 3 Cartan center operators Hi, we have all of the 15 parameters of the SU(4) algebra. It is up to the reader to put these operators in matrix form. The Cartan center operators are then calculated by the commutator in Eq. (188). We then have a set of weights that form the cuboctahedron in the 3-space spanned by the Cartan center operators. 

We studied previously a one-parameter ladder model (46-48) with non-degenerate singlet ground state. The exact ground state wave function of the cyclic ladder was written in the MP form (39). Now we write the wave function I>o in a form more suitable for subsequent generalization to other types of lattices [31]. 

In the general case the proposed form of the wave function corresponds to the MP form but with matrices of infinite size. However, for special values of parameters of the model it can be reduced to the standard MP form. In particular, we consider a spin-1 ladder with nondegenerate antiferromagnetic ground state for which the ground state wave function is the MP one with 2x2 matrices. This model has some properties of ID AKLT model and reduces to it in definite limiting case. 

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