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To appear in Proceedings XVth International Colloquium on Group Theretical Methods in Physics (Varna, June 1987)

Abstract : An energy band in a solid contains an infinite number of states which transform linearly as a space group representation…

Abstract : Band representaitons in solids are investigated in the general framework of induced representations by using the concepts of orbits (stars) and strata (Wyckoff positions) in their construction and classification. The connection between…

Abstract : For arbitrary compact gauge group G and real representations of the Higgs fields, we seek static finite-energy solutions for which the radial dependence of the fields is factorized. We find that the gauge fields vanish outside a fixed…

Abstract : It is shown that a positive definite local energy density is incompatible with the usual postulates of local field theory. The question whether it can be bounded below is briefly discussed but not solved.