We study the correspondence between phase-space localization of quantum (quasi-)energy eigenstates and classical correlation decay, given by Ruelle-Pollicott resonances of the Frobenius-Perron operator. It will be shown that scarred (quasi-)energy eigenstates are correlated: Pairs of eigenstates strongly overlap in phase space (scar in same phase-space regions) if the difference of their eigene...

The 2-surface characterization of special classical radiative Higgs-, Yang–Mills and linear zero-rest-mass fields with any spin is investigated. We determine all the zero quasi-local mass Higgsand Yang–Mills field configurations with compact semisimple gauge groups, and show that they are plane waves (provided the Higgs field is massless and linear) and appropriate generalizations of plane wave...

Abstract: Unlike a uniformity, a quasi-uniformity is not determined by its quasiuniform covers. However, a classical construction, due to Fletcher, which assigns a transitive quasi-uniformity to each family of interior-preserving open covers, allows to describe all transitive quasi-uniformities on the topological spaces in terms of those families of covers. In this paper we develop a pointfree ...

We completely determine necessary and suucient conditions for the nor-malizability of the wave functions giving the algebraic part of the spectrum of a quasi-exactly solvable Schrr odinger operator on the line. Methods from classical invariant theory are employed to provide a complete list of canonical forms for normalizable quasi-exactly solvable Hamiltonians and explicit normalizability condi...

A complete theory of cognitive architecture (i.e., the basic processes and modes of composition that together constitute cognitive behaviour) must explain the systematicity property--why our cognitive capacities are organized into particular groups of capacities, rather than some other, arbitrary collection. The classical account supposes: (1) syntactically compositional representations; and (2...

Recently proposed quasi-classical ∂̄-dressing method provides a systematic approach to study the weakly dispersive limit of integrable systems. We apply the quasi-classical ∂̄-dressing method to describe dispersive corrections of any order. We show how calculate the ∂̄ problems at any order for a rather general class of integrable systems, presenting explicit results for the KP hierarchy case. We ...

Multiple valued logic (abbreviated MVL and also known as ‘many-valued’ or ‘multi-valued’ logic) has a long tradition [17, 15, 7] and needs no presentation. In this paper we lift the concept of quasi-variety of first-order models from classical (two valued) logic to MVL and study some of its important properties. Our results can be seen as MVL extensions or generalizations of corresponding class...