Titlebook: Symmetries in Science VIII; Bruno Gruber Book 1995 Springer Science+Business Media New York 1995 Potential.algebra.hadron.kinematics.quant

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Linear Coxeter Groups,tal region .,which is a convex polyhedron whose dihedral angles are proper submultiples of π. By immersing the space . in a linear space . (the ambient space), . extends to a convex polyhedral cone ..and . extends to a linear group generated by reflections in the faces of ..(linear Coxeter group).

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Diffeomorphism Groups, Quasi-Invariant Measures, and Infinite Quantum Systems,y many degrees of freedom. It is a partial report of our joint work [1], based on the August 1994 talk by the first author at the Symmetries in Science VIII conference in Bregenz, Austria. We would like to express appreciation to the conference organizers, especially Professor Bruno Gruber, for the

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Recent Developments in the Application of Vector Coherent State Theory,rs and the Wigner coefficients of many higher rank symmetry groups. In both, the irreducible representations of a higher rank group are constructed by an induction process from the irreducible representations of a lower rank subgroup, the so-called core subgroup. In the more widely used first type o

Precursor

Algebraic Theory of the Three-Body Problem,al problem for 3 particles interacting through a two-body or three-body force. These techniques are designed to solve the differential or integro-differential Schrodinger equation. In this article, an alternative formulation of the three-body is given, in terms of Lie algebras. This formulation prov

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,Quantum Effect of Nonlinear Born—Infeld Field, important characteristics of the Born-Infeld field is found in its static solution which has no infra-red divergence. Many physicists expected that this might be an example of divergence-free field theory. However, no one could succeed to quantize the field, by means of the standard canonical quant

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Some Aspects of , and ,-Boson Calculus,SU. unit tensor or Wigner operator (the matrix elements of which are coupling coefficients or 3 — . symbols). A first part of this program was published in the proceedings of . (see ref. 2) where the .-deformed Schwinger algebra was defined and where an algorithm, based on the method of complementar

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Quantum Violation of Weak Equivalence Principle in the Brans-Dicke Theory,ation, an ambitious program to unify particle physics and gravitation. In fact in many of the theoretical models of unification scalar fields participate as important ingredients, in addition to other many fields most of which will remain undetected.