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The complexity class $NP$ can be logically characterized both through existential second order logic $SO\exists$, as proven by Fagin, and through simulating a Turing machine via the satisfiability problem of propositional logic SAT, as…

逻辑 · 数学 2014-10-21 Tuomo Kauranne

We consider the situation of a physical entity that is the compound entity consisting of two 'separated' quantum entities. In earlier work it has been proven by one of the authors that such a physical entity cannot be described by standard…

量子物理 · 物理学 2017-08-23 Diederik Aerts , Frank Valckenborgh

Supersymmetric quantum mechanics is formulated on a two dimensional noncommutative plane and applied to the supersymmetric harmonic oscillator. We find that the ordinary commutative supersymmetry is partially broken and only half of the…

高能物理 - 理论 · 物理学 2011-06-02 J Ben Geloun , F G Scholtz

Supersymmetry (SUSY) helps solve the hierarchy problem in high-energy physics and provides a natural groundwork for unifying gravity with other fundamental interactions. While being one of the most promising frameworks for theories beyond…

量子物理 · 物理学 2022-06-15 M. -L. Cai , Y. -K. Wu , Q. -X. Mei , W. -D. Zhao , Y. Jiang , L. Yao , L. He , Z. -C. Zhou , L. -M. Duan

The aggressive integration of distributed renewable sources is changing the dynamics of the electric power grid in an unexpected manner. As a result, maintaining conventional performance specifications, such as transient stability, may not…

最优化与控制 · 数学 2018-06-14 Liviu Aolaritei , Dongchan Lee , Thanh Long Vu , Konstantin Turitsyn

The intransitive cycle of superiority is characterized by such binary relations between A, B, and C that A is superior to B, B is superior to C, and C is superior to A (i.e., A>B>C>A - in contrast with transitive relations A>B>C). The first…

历史与综述 · 数学 2018-09-12 Alexander Poddiakov

The three-dimensional Schr\"odinger equation with a position-dependent (effective) mass is studied in the framework of Supersymmetrical (SUSY) Quantum Mechanics. The general solution of SUSY intertwining relations with first order…

高能物理 - 理论 · 物理学 2016-08-29 M. V. Ioffe , E. V. Kolevatova , D. N. Nishnianidze

A supersymmetric generalization of the Lieb-Liniger-Yang dynamics governing $N$ massive bosons moving on a line with delta interactions among them at coinciding points is developed. The analysis of the delicate balance between integrability…

数学物理 · 物理学 2017-01-30 Juan Mateos Guilarte , Asdrúbal Moreno Mosquera

The use of available disturbance predictions within a nominal model predictive control formulation is studied. The main challenge that arises is the loss of recursive feasibility and stability guarantees when a persistent disturbance is…

系统与控制 · 计算机科学 2018-07-31 Pablo R Baldivieso-Monasterios , Paul A. Trodden

In the first part of this work an overview of the available data on the paramagnetic effect recently discovered in superconductors was given as well as a possible explanation of the effect. Here the consequences caused by this weakly…

超导电性 · 物理学 2007-05-23 S. G. Gevorgyan

We use the energy method to study the well-posedness of initial-boundary value problems approximated by overset mesh methods in one and two space dimensions for linear constant-coefficient hyperbolic systems. We show that in one space…

数值分析 · 数学 2021-11-24 David A. Kopriva , Jan Nordström , Gregor J. Gassner

In an optical lattice entropy and mass transport by first-order tunneling is much faster than spin transport via superexchange. Here we show that adding a constant force (tilt) suppresses first-order tunneling, but not spin transport,…

It is not known if, in addition to the Newton's inverse square law component, the gravitational force has some non-Newtonian, long-range components that have escaped detection until now. For example, the non-Newtonian component of the…

综合物理 · 物理学 2012-12-11 Dragan Slavkov Hajdukovic

This paper deals with input/output-to-state stability (IOSS) of switched nonlinear systems whose switching signals obey pre-specified restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems.…

系统与控制 · 电气工程与系统科学 2024-04-04 Atreyee Kundu

The Turing Machine has two implicit properties that depend on its underlying notion of computing: the format is fully determinate and computations are information preserving. Distributed representations lack these properties and cannot be…

人工智能 · 计算机科学 2018-03-29 Luis A. Pineda

Violations of the second law of thermodynamics for small systems well below the thermodynamic limit has already been experimentally observed. However, the effects of such violations on experimentally measurable quantities have not been…

介观与纳米尺度物理 · 物理学 2016-06-08 Andrew P. Proudian , Susanta K. Sarkar

We study the stochastic thermodynamics of resetting systems. Violation of microreversibility means that the well known derivations of fluctuations theorems break down for dynamics with resetting. Despite that we show that stochastic…

统计力学 · 物理学 2017-12-27 Arnab Pal , Saar Rahav

A class of one-dimensional reflectionless potentials, an absolute transparency of which is concerned with their belonging to one SUSY-hierarchy with a constant potential, is studied. An approach for determination of a general form of the…

高能物理 - 理论 · 物理学 2011-07-19 Sergei P. Maydanyuk

A new approach of using distributed transmission line analogy for solving transport equations for ballistic nanostructures is applied for solving the three dimensional problem of the electron transport in gated ballistic nanostructures with…

介观与纳米尺度物理 · 物理学 2016-06-01 G. R. Aizin , J. Mikalopas , M. Shur

Several difficulties will appear when typical electromagnetic transient simulation, using the implicit trapezoidal method and fixed step sizes, is applied to power systems with switching behaviors. These difficulties are addressed by…

系统与控制 · 电气工程与系统科学 2022-03-30 Sheng Lei