Scarring in quantum systems with classical chaotic dynamics is one of the most remarkable phenomena in modern physics. Previous works were concerned mostly with nonrelativistic quantum systems described by the Schr...
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Scarring in quantum systems with classical chaotic dynamics is one of the most remarkable phenomena in modern physics. Previous works were concerned mostly with nonrelativistic quantum systems described by the Schrödinger equation. The question remains outstanding of whether truly relativistic quantum particles that obey the Dirac equation can scar. A significant challenge is the lack of a general method for solving the Dirac equation in closed domains of arbitrary shape. In this paper, we develop a numerical framework for obtaining complete eigensolutions of massless fermions in general two-dimensional confining geometries. The key ingredients of our method are the proper handling of the boundary conditions and an efficient discretization scheme that casts the original equation in a matrix representation. The method is validated by (1) comparing the numerical solutions to analytic results for a geometrically simple confinement and (2) verifying that the calculated energy level-spacing statistics of integrable and chaotic geometries agree with the known results. Solutions of the Dirac equation in a number of representative chaotic geometries establish firmly the existence of scarring of Dirac fermions.
The paper discusses two important classification techniques, Fisher's linear discriminated analysis (FLDA) and Support Vector Machine (SVM). First, we propose a theoretical discussion, and then implement FLDA and ...
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The paper discusses two important classification techniques, Fisher's linear discriminated analysis (FLDA) and Support Vector Machine (SVM). First, we propose a theoretical discussion, and then implement FLDA and SVM on several datasets of two classes and multiclass, a comparative experimental analysis among these two techniques aims at exploring and assessing the performance of FLDA and SVM classifiers. To sustain such analysis, the two classification techniques are compared with different training data sets and testing data sets. Different performance indicators have been used to support our experimental studies in a detailed and accurate way such as the classification accuracy. The results obtained on different datasets conclude that FLDA and SVM are valid and effective approaches for pattern classification and conclude their different performance and problems with different size datasets. Meanwhile, the paper employs a non-traditional method to get the training and testing data set, and concludes detailed pros and cons from the experiment results.
A controller design method is studied for UAVs formation flight. A consensus-based algorithm is proposed to maintain a specified time-varying geometric configuration for formation flight of multiple UAVs. In this appr...
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To further enhance emergency management skills of an organisation's emergency response personnel, emergency response training, especially 3D emergency drill, is currently becoming more and more important in the pe...
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ISBN:
(纸本)9781467313971
To further enhance emergency management skills of an organisation's emergency response personnel, emergency response training, especially 3D emergency drill, is currently becoming more and more important in the petrochemical sector. So, a novel 3D emergency drills system is designed and developed based on ACP approach, which can be used for mocking emergency response plan drills and evaluating the plan. A case study reveals that the performance of the system is good and the system can meet the needs of emergency response training and optimizing emergency response plan in petrochemical plants.
The common personalized searching technology can neither make full use of features of domain knowledge,nor understand the user's special needs in this *** at solving this issue,this paper studies personalized sear...
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The common personalized searching technology can neither make full use of features of domain knowledge,nor understand the user's special needs in this *** at solving this issue,this paper studies personalized searching technology combining the characteristics of *** tourism fields,this paper designs and realizes a user-based personalized searching system,and provides with its general framework and implementation of system *** tourism field knowledge database is firstly *** to the user's browsing history and personal information,this paper builds the user-interest model based on tourism areas,and then realizes the personalized information recommendation technology and information expanding *** results show that the information searching based on domain knowledge and tourism information achieves better results in recall rate,accuracy and recommend function than traditional searching engine.
This paper considers the distributed consensus problem of multi-agent systems with general continuous-time linear time-invariant dynamics. Based on the relative output information of neighboring agents, two distribute...
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ISBN:
(纸本)9781457710957
This paper considers the distributed consensus problem of multi-agent systems with general continuous-time linear time-invariant dynamics. Based on the relative output information of neighboring agents, two distributed adaptive dynamic consensus protocols are proposed, namely, the edge-based adaptive protocol which assigns a time-varying coupling weight to each edge in the communication graph and the node-based adaptive protocol which uses a time-varying coupling weight for each node. These two adaptive protocols are designed to ensure that consensus is reached in a fully distributed fashion for any undirected connected communication graphs without using any global information. A sufficient condition for the existence of these adaptive protocols is that each agent is stabilizable and detectable. The case with switching communication graphs is also studied.
With the fast development of Internet and data volume increase in Internet, Internet is playing more important role in information spreading in recent years. It is reported that social network is a typical complex net...
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To solve the problem of seriously distortion while enlarging images via seam carving,we proposed an improved method in this ***,we enlarged the image with hierarchical interpolation model to the size of power of two t...
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To solve the problem of seriously distortion while enlarging images via seam carving,we proposed an improved method in this ***,we enlarged the image with hierarchical interpolation model to the size of power of two times of original,which is closest to target size,while applying iterative curvature-based interpolation algorithm to protected areas and nearest interpolation to non-protected *** then,some seams to the target size were avoided via seam carving *** the subjective analysis and objective evaluation,the experiment on both standard library images and spatial images showed that the proposed method gave satisfactory results.
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