scholarly journals Quantum chaos for point scatterers on flat tori

2014 ◽  
Vol 372 (2007) ◽  
pp. 20120509 ◽  
Author(s):  
Henrik Ueberschär
Keyword(s):  
Wave Function ◽  
Strong Coupling ◽  
Quantum Chaos ◽  
Recent Progress ◽  
Three Dimensional ◽  
Point Scatterer ◽  
Open Problems ◽  
Survey Article ◽  
Delta Potential ◽  
Flat Tori

This survey article deals with a delta potential—also known as a point scatterer—on flat two- and three-dimensional tori. We introduce the main conjectures regarding the spectral and wave function statistics of this model in the so-called weak and strong coupling regimes. We report on recent progress as well as a number of open problems in this field.

Application of Viscous Analyses to the Design of Jet Exhaust Powered Lift Installations

1980 ◽  
Vol 102 (3) ◽  
pp. 626-631 ◽  
Author(s):  
E. Tjonneland ◽  
S. F. Birch
Keyword(s):  
Numerical Methods ◽  
Strong Coupling ◽  
Recent Progress ◽  
Three Dimensional ◽  
Numerical Procedure ◽  
Turbulence Models ◽  
External Flow ◽  
Analysis Procedure ◽  
Analysis Tool

The application of available numerical methods to the design of powered lift installations is reviewed. For this application, where strong coupling exists between the jet exhaust and the external flow, a three-dimensional viscous analysis tool is needed. The task of selecting a suitable analysis procedure is first outlined, with particular emphasis on the need for careful coordination of the various elements of the task. Problems and progress in the development of turbulence models are then discussed, and some selected three-dimensional calculations are presented to illustrate recent progress. Finally, a numerical procedure, currently under development for a particular powered lift application, is briefly described.

scholarly journals A STRONG COUPLING EXPANSION FOR N = 4 SYM THEORY AND OTHER SCFT's

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2143-2152 ◽  
Author(s):  
DAVID BERENSTEIN
Keyword(s):  
Wave Function ◽  
Strong Coupling ◽  
Recent Progress ◽  
Einstein Manifold ◽  
Strong Coupling Expansion ◽  
Field Theories ◽  
Superconformal Field Theories ◽  
Four Dimensions ◽  
Yang Mills

Recent progress towards understanding a strong coupling expansion for various superconformal field theories in four dimensions is described. First, the case of the maximally supersymmetric Yang Mills theory is analyzed, as well as many calculations that can be done directly at strong coupling and matched to the AdS dual geometry. Also, this understanding is extended to other AdS duals where the sphere is replaced by a Sasaki-Einstein manifold. Particular emphasis is made on matching exactly part of the supergravity dual spectrum of various of these field theories by using wave function methods.

Topics in Quaternion Linear Algebra

2014 ◽  
Author(s):  
Leiba Rodman
Keyword(s):  
Linear Algebra ◽  
Complex Analysis ◽  
Dimensional Space ◽  
Applied Mathematics ◽  
Three Dimensional ◽  
Number System ◽  
Graduate Course ◽  
Open Problems ◽  
Unpublished Research ◽  
Reference Tool

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used.

INTEGRABILITY, ENTROPY AND QUANTUM COMPUTATION

1999 ◽  
Vol 10 (07) ◽  
pp. 1205-1228 ◽  
Author(s):  
E. V. KRISHNAMURTHY
Keyword(s):  
Quantum Computation ◽  
Quantum Chaos ◽  
Quantum Control ◽  
Dynamical Evolution ◽  
Open Problems ◽  
Quantum Integrability ◽  
Feynman Path Integrals ◽  
Exact Integrability ◽  
Time Arrow ◽  
Computational Systems

The important requirements are stated for the success of quantum computation. These requirements involve coherent preserving Hamiltonians as well as exact integrability of the corresponding Feynman path integrals. Also we explain the role of metric entropy in dynamical evolutionary system and outline some of the open problems in the design of quantum computational systems. Finally, we observe that unless we understand quantum nondemolition measurements, quantum integrability, quantum chaos and the direction of time arrow, the quantum control and computational paradigms will remain elusive and the design of systems based on quantum dynamical evolution may not be feasible.

Three-dimensional porous carbon materials and their composites as electrodes for electrochemical energy storage systems

2019 ◽  
Vol 3 (11) ◽  
pp. 2221-2245 ◽  
Author(s):  
Xiaoyang Deng ◽  
Jiajun Li ◽  
Liying Ma ◽  
Junwei Sha ◽  
Naiqin Zhao
Keyword(s):  
Energy Storage ◽  
Porous Carbon ◽  
Recent Progress ◽  
Carbon Materials ◽  
Storage Systems ◽  
Three Dimensional ◽  
Electrochemical Energy Storage ◽  
Energy Storage Systems ◽  
Porous Carbon Materials ◽  
Electrochemical Energy

This review describes the recent progress of 3D porous carbon materials and their composites as electrodes for electrochemical energy storage systems.

scholarly journals Delta Scuti Stars: Selected Recent Highlights

2000 ◽  
Vol 176 ◽  
pp. 408-414
Author(s):  
G. Handler
Keyword(s):  
Recent Progress ◽  
Open Problems ◽  
Delta Scuti ◽  
Scuti Stars ◽  
Δ Scuti Stars

AbstractAn overview of recent progress in the research on δ Scuti stars is given. Some intriguing results and open problems are pointed out, and some ideas for future investigations are provided.

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