Symmetry And Structural Properties Of Condensed Matter

This volume continues the series of proceedings of summer schools on theoretical physics related to various aspects of the structure of condensed matter, and to appropriate mathematical methods for an adequate description. Three main topics are covered: (i) symmetric and unitary groups versus electron correlations in multicentre systems; (ii) conformal symmetries, the Bethe ansatz and quantum groups; (iii) paradoxes of statistics, space-time, and time quantum mechanics. Problems considered in previous schools are merged with some new developments, like statistics with continuous Young diagrams, the existence and structure of energy bands in solids with fullerenes, membranes and some coverings of graphite sheets, or vortex condensates with quantum counterparts of Maxwell lows.

This volume is the seventh in a series of proceedings on theoretical physics related to various aspects of the structure of condensed matter and to appropriate mathematical methods for adequate description. Three main topics are considered: conformal symmetry, central charge, condensation of flux; rigged string configurations, Yang–Baxter equations and their applications in solid state physics; and energy band structure in solids. Contents:Path Integral Representations for a Constrained System (Y Ohnuki)Finite Quantum Systems and Their Applications to Quantum Information Processing (A Vourdas)The Vandermonde Determinant Revisited (B G Wybourne)Fascinating Properties of Carbon Nanotubes (M Czechowska et al.)Scale Invariant Behaviour in Growing and Coalescing Droplets (J A Blackman & J Poulter)Rigged Configuration and the Bethe Ansatz (A Schilling)Towards a General Solution of the Linear Heisenberg Problem (W J Caspers et al.)Skew Gelfand–Tsetlin Patterns, Lattice Permutations, and Skew Pattern Polynomials (J D Louck)Transport Properties of Domain Walls in Ferromagnets (J Barnas & V K Dugaev)and other papers Readership: Researchers, academics, graduate students and upper level undergraduates in condensed-matter, theoretical and semiconductor physics. Keywords:

This volume continues the series of proceedings of summer schools on theoretical physics related to various aspects of the structure of condensed matter, and to appropriate mathematical methods for an adequate description. Three main topics are covered: (i) symmetric and unitary groups versus electron correlations in multicentre systems; (ii) conformal symmetries, the Bethe ansatz and quantum groups; (iii) paradoxes of statistics, space-time, and time quantum mechanics. Problems considered in previous schools are merged with some new developments, like statistics with continuous Young diagrams, the existence and structure of energy bands in solids with fullerenes, membranes and some coverings of graphite sheets, or vortex condensates with quantum counterparts of Maxwell lows.

This volume continues the series of proceedings of summer schools on theoretical physics which aim at an adequate description of the structure of condensed matter in terms of sophisticated, advanced mathematical tools. This time, the main emphasis is put on the question of whether (and when) the energy bands in solids are continuous. Profs. L Michel, J Zak and others consider the origin, existence and continuity of band structure. Also, some previously discussed problems (magnetic symmetry, flux quantization, statistics, quasicrystals, the Bethe ansatz) are pursued further, and appropriate mathematical tools, rooted in “actions of groups on sets”, are developed.

This volume is the seventh in a series of proceedings on theoretical physics related to various aspects of the structure of condensed matter and to appropriate mathematical methods for adequate description. Three main topics are considered: conformal symmetry, central charge, condensation of flux; rigged string configurations, YangOCoBaxter equations and their applications in solid state physics; and energy band structure in solids."