Wigner's

Unfortunately, Wigner's irreducible representations are representations upon infinite-dimensional Hilbert spaces, whilst the Poincare group has only 10 dimensions.

Archive 2009-02-01 Gordon McCabe 2009

For example, the mathematician J.M.G. Fell adopted Wigner's notion that the irreducibility of a representation is the defining characteristic of an elementary particle representation, and argued that the ensuing group action is "essentially" transitive upon the state space of such a representation.

Archive 2009-02-01 Gordon McCabe 2009

Expanding on the implications of Wigner's remarks, Harold Morowitz comments that it is remarkable that the scientific study QM has led to the revival of the concept of "consciousness as an ultimate reality."

Are Changes Brewing and How Does the Mind Fit In? 2008

The one I hear most often is Eugene Wigner's theories on what is now called continental drift, but his problem was scant evidence that the continents had drifted along with a total lack of theories that could explain how something like a continent could move.

The Memory Hole 2005

However, the question whether, and if yes in what sense, at least relativistic quantum mechanics can be interpreted as a particle theory at all is not addressed in Wigner's analysis.

Quantum Field Theory Kuhlmann, Meinard 2006

Wigner (1967) followed up on this proposal, [7] coining his now proverbial example of “Wigner's friend”.

Quantum Approaches to Consciousness Atmanspacher, Harald 2006

The main idea of Wigner's approach is the supposition that each irreducible (projective) representation of the relevant symmetry group yields the state space of one kind of elementary physical system, where the prime example is an elementary particle which has the more restrictive property of being structureless.

Quantum Field Theory Kuhlmann, Meinard 2006

Wigner's famous analysis of the Poincaré group, Wigner 1939, is often assumed to provide a definition of elementary particles.

Quantum Field Theory Kuhlmann, Meinard 2006

Wigner discusses von Neumann's contributions to the theory of quantum mechanics, Wigner's own work in this area, and von Neumann's interest in the application of theory to the atomic bomb project.

Oral history interview with Eugene P. Wigner 1987

Eugene Wigner's speech at the Nobel Banquet in Stockholm, December 10, 1963

Eugene Wigner - Banquet Speech 1964