On a “quantum chaos” theorem of R. Schrader and M. Taylor

AbstractWe extend results of R. Schrader and M. Taylor on the semi-classical asymptotics of eigenfunctions of a quantum Hamiltonian for a particle in a gauge field. Our method is based on the Guillemin-Sternberg-Uribe theory of “fuzzy ladders” and reductions of Hamiltonian systems with symmetry

Quantum ergodicity of C* dynamical systems

This paper contains a very simple and general proof that eigenfunctions of quantizations of classically ergodic systems become uniformly distributed in phase space. This ergodicity property of eigenfunctions f is shown to follow from a convexity inequality for the invariant states (Af,f). This proof of ergodicity of eigenfunctions simplifies previous proofs (due to A.I. Shnirelman, Colin de Verdiere and the author) and extends the result to the much more general framework of C* dynamical systems.Comment: Only very minor differences with the published versio

How are Inconsistencies between Status and Ability Resolved?

This Technical Report (similar to 32, 35 and 53) addresses the form of combination of status characteristics with particular interest in developing the theory of status characteristics and expectation states for multi- characteristic situations. The authors differentiate Stuart Hughes’ view of status dilemmas from Gerhard Lenski’s view of status crystallization, and they note that, due to its structural approach, Hughes’ view deals with situations that Lenski’s view would not treat as problematic. The authors conducted two experimental tests. Results showed combining of status characteristics, without evidence of either status crystallization or effects of status dilemmas

Spectral statistics on zoll surfaces

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46481/1/220_2005_Article_BF02097000.pd