5 citations · 11 across the 5 of their papers we have counts for
13 papers
The Hilbert spaces for stable and unstable particles
Heinrich Saller
The Hilbert spaces for stable scattering states and particles are determined by the representations of the characterizing Euclidean and Poincaré group and given, respectively, by t…
The basic physical Lie operations
Heinrich Saller
Quantum theory can be formulated as a theory of operations, more specific, of complex represented operations from real Lie groups. Hilbert space eigenvectors of acting Lie operatio…
Harmonic analysis of spacetime with hypercharge and isospin
Heinrich Saller
In analogy to the harmonic analysis for the Poincaré group with its irreducible representations characterizing free particles, the harmonic analysis for a nonlinear spacetime model…
Matter as Spectrum of Spacetime Representations
Heinrich Saller
Bound and scattering state Schrödinger functions of nonrelativistic quantum mechanics as representation matrix elements of space and time are embedded into residual representations…
Probability Collectives for Unstable Particles
Heinrich Saller
Unstable particles, together with their stable decay products, constitute probability collectives which are defined as Hilbert spaces with dimension higher than one, nondecomposabl…
Definite and Indefinite Unitary Time Representations for Hilbert and Non-Hilbert Spaces
Heinrich Saller
Stable states (particles), ghosts and unstables states (particles) are discussed with respect to the time representations involved, their unitary groups and the induced Hilbert spa…