Papers from the symposium held in Cargese, France, July 1991. Until recently, it was believed that symmetries in quantum mechanics should be groups, but it has been shown that one can use a more general algebra in which quantum groups are special cases where associativity is preserved. Exploitation"
Papers from the symposium held in Cargese, France, July 1991. Until recently, it was believed that symmetries in quantum mechanics should be groups, b...
Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs...
Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify at...
This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft.
Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual. In this, quantum mechanics is viewed as a tool rather than a theory.
The author gives examples of models that are classical in essence, but can be analysed by the use of quantum techniques, and argues that even the Standard Model, together with gravitational...
This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft.
A collection of articles and review papers by the author on various subjects in quantum field theory, gauge field theory and quantum gravity. The book includes a description of fundamental extended objects such as monopoles and instantons, both aspects of quantum chromodynamics.
A collection of articles and review papers by the author on various subjects in quantum field theory, gauge field theory and quantum gravity. The book...