Results 21 to 30 of about 2,395,394 (337)
Spontaneous Symmetry Breaking and Chiral Symmetry [PDF]
, 2000 In this introductory lecture, some basic features of the spontaneous symmetry breaking are discussed. More specifically, $\sigma $-model, non-linear realization, and some examples of spontaneous symmetry breaking in the non-relativistic system are ...
Li, Ling-Fong
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Topological insulators with inversion symmetry [PDF]
, 2006 Topological insulators are materials with a bulk excitation gap generated by the spin-orbit interaction that are different from conventional insulators. This distinction is characterized by ${Z}_{2}$ topological invariants, which characterize the ground ...
L. Fu, C. Kane
semanticscholar +1 more source
Mathematics, 2021 In this work, we study the generalized 2D equal-width equation which arises in various fields of science. With the aid of numerous methods which includes Lie symmetry analysis, power series expansion and Weierstrass method, we produce closed-form ...
Chaudry Masood Khalique, Karabo Plaatjie
doaj +1 more source
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source
Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System
Abstract and Applied Analysis, 2014 We study the Drinfel'd-Sokolov-Wilson system, which was introduced as a model of water waves. Firstly we obtain exact solutions of this system using the (G′/G)-expansion method.
Catherine Matjila +2 more
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Chiral Symmetry Restoration and $Z_N$ Symmetry [PDF]
, 1995 We demonstrate that chiral symmetry restoration in quenched finite temperature QCD depends crucially on the $Z_3$ phase of the Polyakov loop ${\cal P}$.
Meisinger, Peter N., Ogilvie, Michael C.
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Advanced Engineering Materials, EarlyView., 2023 The study presents the mechanical and in situ sensing performance of digital light processing‐enabled 2D lattice nanocomposites under monotonic tensile and repeated cyclic loading, and provides guidelines for the design of architectures suitable for strain sensors and smart lightweight structures.
Omar Waqas Saadi +3 more
wiley +1 more source
Group Classification of a General Bond-Option Pricing Equation of Mathematical Finance
Abstract and Applied Analysis, 2014 We carry out group classification of a general bond-option pricing equation. We show that the equation admits a three-dimensional equivalence Lie algebra.
Tanki Motsepa +2 more
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PT-symmetry broken by point-group symmetry [PDF]
, 2013 We discuss a PT-symmetric Hamiltonian with complex eigenvalues. It is based on the dimensionless Schr\"{o}dinger equation for a particle in a square box with the PT-symmetric potential $V(x,y)=iaxy$.
Cotton F. A. +4 more
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Comprehensive search for topological materials using symmetry indicators [PDF]
Nature, 2018 Over the past decade, topological materials—in which the topology of electron bands in the bulk material leads to robust, unconventional surface states and electromagnetism—have attracted much attention.
F. Tang, H. Po, A. Vishwanath, X. Wan
semanticscholar +1 more source