226 citations · 2.5k across the 109 of their papers we have counts for
9 papers · 1 filter
Frustrated SU(4) as the Preonic Precursor of the Standard Model
Stephen L. Adler
We give a model for composite quarks and leptons based on the semisimple gauge group SU(4), with the preons in the 10 representation; this choice of gauge gluon and preon multiplet…
Equilibrium Statistical Ensembles and Structure of the Entropy Functional in Generalized Quantum Dynamics
Stephen L. Adler, L. P. Horwitz
We review here the microcanonical and canonical ensembles constructed on an underlying generalized quantum dynamics and the algebraic properties of the conserved quantities. We dis…
Nonadiabatic Geometric Phase in Quaternionic Hilbert Space
Stephen L. Adler, Jeeva Anandan
We develop the theory of the nonadiabatic geometric phase, in both the Abelian and non-Abelian cases, in quaternionic Hilbert space.
Quaternionic Quantum Mechanics and Noncommutative Dynamics
Stephen L. Adler
In this talk I shall first make some brief remarks on quaternionic quantum mechanics, and then describe recent work with A.C. Millard in which we show that standard complex quantum…
Microcanonical Ensemble and Algebra of Conserved Generators for Generalized Quantum Dynamics
Stephen L. Adler, L. P. Horwitz
It has recently been shown, by application of statistical mechanical methods to determine the canonical ensemble governing the equilibrium distribution of operator initial values,…
Algebra of Conserved Generators and Statistical Ensembles in Generalized Quantum Dynamics
Stephen L. Adler, L. P. Horwitz
We study here the algebraic structure of the conserved generators from which the microcanonical and canonical ensembles are constructed on an underlying generalized quantum dynamic…
Photon Splitting in a Strong Magnetic Field: Recalculation and Comparison With Previous Calculations
Stephen L. Adler, Christian Schubert
We recalculate the amplitude for photon splitting in a strong magnetic field below the pair production threshold, using the worldline path integral variant of the Bern--Kosower for…
Comment on ``Photon Splitting in Strongly Magnetized Objects Revisited''
Stephen L. Adler
I point out that the results stated in the recent articles on photon splitting by Wunner, Sang, and Berg and by Wentzel, Berg, \& Wunner directly contradict an earlier analytic and…
Projective Group Representations in Quaternionic Hilbert Space
Stephen L. Adler
We extend the discussion of projective group representations in quaternionic Hilbert space which was given in our recent book. The associativity condition for quaternionic projecti…