Advances within the physics and chemistry of low-dimensional structures were fairly remarkable within the previous couple of many years. hundreds of thousands of quasi-one-dimensional and quasi-two-dimensional platforms were synthesized and studied. the most well-liked representatives of quasi-one-dimensional fabrics are polyacethylenes CH  and carrying out donor-acceptor molecular crystals TIF z TCNQ. Examples of quasi-two-dimensional platforms are hot temperature su perconductors (HTSC) in accordance with copper oxides LA2CU04, YBa2Cu306+y and natural superconductors in accordance with BEDT -TIP molecules. The homes of such one- and two-dimensional fabrics aren't but absolutely understood. at the one hand, the equations of movement of one-dimensional sys tems are fairly basic, which enables rigorous ideas of version difficulties. however, manifestations of varied interactions in one-dimensional structures are relatively strange. This refers, particularly, to electron--electron and electron-phonon interactions. Even in the restrict of a vulnerable coupling con stant electron--electron correlations produce an power hole within the spectrum of one-dimensional metals implying a Mott transition from steel to semiconductor country. In a majority of these circumstances perturbation thought is inapplicable. that is one of many major problems at the manner in the direction of a entire idea of quasi-one-dimensional platforms. - This assembly held on the Institute for Theoretical Physics in Kiev could 15-18 1990 was once dedicated to similar difficulties. The papers chosen for this quantity are grouped into 3 sections.
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