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How best to think about quantum systems under permutation invariance is a question that has received a great deal of attention in the literature. But very little attention has been paid to taking seriously the proposal that permutation…

量子物理 · 物理学 2014-09-02 Adam Caulton

Quantum interfaces between polarized atomic ensembles and coherent states of light, applied recently to manipulate bipartite and multipartite entanglement, are revisited by means of a continuous-variable formalism. The explicit use of the…

量子物理 · 物理学 2011-06-28 Julia Stasińska , Simone Paganelli , Carles Rodó , Anna Sanpera

There is a unique finite group that lies inside the 2-dimensional unitary group but not in the special unitary group, and maps by the symmetric square to an irreducible subgroup of the 3-dimensional real special orthogonal group. In an…

群论 · 数学 2021-07-27 Robert A. Wilson

A simple model of noninteracting electrons with a separable one-body potential is used to discuss the possible pole structure of single particle Green's functions for fermions on unphysical sheets in the complex frequency plane as a…

强关联电子 · 物理学 2009-10-30 K. Schoenhammer

We discuss a general model for effective quantum field theories (QFTs), which for example comprises quantum chromodynamics and quantum electrodynamics. We assume in the model a perturbative expansion of the Lagrangian with respect to a…

数学物理 · 物理学 2013-02-19 Andreas Raab

We study representations of the double affine Lie algebra associated to a simple Lie algebra. We construct a family of indecomposable integrable representations and identify their irreducible quotients. We also give a condition for the…

量子代数 · 数学 2007-05-23 Vyjayanthi Chari , Thang Le

Properties of the magnetic translation operators for a charged particle moving in a crystalline potential and a uniform magnetic field show that it is necessary to consider all inequivalent irreducible projective representations of the the…

介观与纳米尺度物理 · 物理学 2009-10-31 Wojciech Florek

We review old and new uses of exchangeability, emphasizing the general theme of exchangeable representations of complex random structures. Illustrations of this theme include processes of stochastic coalescence and fragmentation; continuum…

概率论 · 数学 2010-02-22 David J. Aldous

A weak bialgebra is known to be a special case of a bialgebroid. In this paper we study the relationship of this fact with the Tannaka theory of bialgebroids as developed in [4]. We obtain a Tannaka representation theorem with respect to a…

量子代数 · 数学 2010-08-10 Dimitri Chikhladze

Generally, when imaginary part of an optical potential is non-symmetric the reflectivity, $R(E)$, shows left/right handedness, further if it is not negative-definite the reflection and transmission, $T(E)$, coefficients become anomalous in…

量子物理 · 物理学 2009-11-10 Zafar Ahmed

In the context of the complex-analytic structure within the unit disk centered at the origin of the complex plane, that was presented in a previous paper, we show that a certain class of non-integrable real functions can be represented…

复变函数 · 数学 2019-02-19 Jorge L. deLyra

Progress in the Effective Field Theory of two and three nucleon systems is sketched, concentrating mainly on the low energy version in which pions are integrated out as explicit degrees of freedom. Examples given are: the extraction of…

核理论 · 物理学 2009-11-07 Harald W. Griesshammer

The concept of complex harmonic potential in a doubly connected condenser (capacitor) is introduced as an analogue of the real-valued potential of an electrostatic vector field. In this analogy the full differential of a complex potential…

复变函数 · 数学 2024-09-26 Tadeusz Iwaniec , Jani Onninen , Teresa Radice

This work studies the problem of constructing a representative workload from a given input analytical query workload where the former serves as an approximation with guarantees of the latter. We discuss our work in the context of workload…

数据库 · 计算机科学 2021-02-04 Shaleen Deep , Anja Gruenheid , Paraschos Koutris , Jeffrey Naughton , Stratis Viglas

The recently proposed effective potential theory [Phys. Rev. Lett. 110, 235001 (2013)] allows evaluating transport in coupled plasmas with the well-developed formalisms for systems with binary collisions. To facilitate practical…

等离子体物理 · 物理学 2018-05-15 Grigory Kagan , Scott D. Baalrud

Quantum simulations of complex fermionic systems suffer from a variety of challenging problems. In an effort to circumvent these challenges, simpler ``semi-classical'' approaches have been used to mimic fermionic correlations through a…

核理论 · 物理学 2008-11-26 J. Taruna , J. Piekarewicz , M. A. Perez-Garcia

It is shown in this paper that decoherence-free subspace (DFS) of practical multi-photon polarization can not avoid the exponential decoherence even in the same extra-environment if the photons are frequency-anticorrelated. The reason lies…

量子物理 · 物理学 2009-11-11 Yong-Sheng Zhang , Chuan-Feng Li , Yun-Feng Huang , Guang-Can Guo

The derivation of the Glauber type representation for the high energy scattering amplitude of particles of spin 1/2 is given within the framework of the Dirac equation in the Foldy Wouthuysen (FW) representation and two-component formalism.…

高能物理 - 理论 · 物理学 2016-09-07 Nguyen Suan Han , Le Anh Dung , Nguyen Nhu Xuan , Vu Toan Thang

We show that the class of representable substitution algebras is characterized by a set of universal first order sentences. In addition, it is shown that a necessary and sufficient condition for a substitution algebra to be representable is…

逻辑 · 数学 2015-03-05 Norman Feldman

Promoting a theory with a finite number of terms into an effective field theory with an infinite number of terms worsens simplicity, predictability, falsifiability, and other attributes often favored in theory choice. However, the…

物理学史与哲学 · 物理学 2013-06-26 James D. Wells