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Several results point to deep relations between noncommutative geometry and class eld theory ([3],
[10], [20], [22]). In [3] a quantum statistical mechanical system (BC) is exhibited, with partition...
Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice
Classical quantum behavior integrated density of states randomly perturbed lattice
2011/1/20
The asymptotic behavior of the integrated density of states for a randomly perturbed lattice at the infimum of the spectrum is investigated. The leading term is determined when the decay of the single...
We provide a classification of entangled states that is based on the analysis of algebraic properties of linear maps associated with the states.
Representable states on quasi-local quasi *-algebras
Representable quasi-local quasi *-algebras
2011/1/19
Continuing a previous analysis originally motivated by physics, we consider representable states on quasi-local quasi *-algebras, starting with examining the possibility for a compatible family of loc...
Surface Gap Soliton Ground States for the Nonlinear Schrödinger Equation
Surface Gap Soliton Ground States the Nonlinear Schrö dinger Equation
2010/11/18
We consider the nonlinear Schr\"{o}dinger equation $(-\Delta +V(x))u = \Gamma(x) |u|^{p-1}u$, $x\in \R^n$ with $V(x) = V_1(x) \chi_{\{x_1>0\}}(x)+V_2(x) \chi_{\{x_1<0\}}(x)$ and $\Gamma(x) = \Gamma_1(...
Uniqueness and Nondegeneracy of Ground States for $(-\Delta)^s Q + Q - Q^{\alpha+1} = 0$ in $\R$
Uniqueness Nondegeneracy of Ground States
2010/12/9
We prove uniqueness of ground state solutions Q = Q(|x|) > 0 for the nonlinear equation (−)sQ + Q − Q +1 = 0 in R,where 0 < s < 1 and 0 < < 4s 1−2s for s < 1/2 and 0 < < 1 for s...
The RCCN criterion of separability for states in infinite-dimensional quantum systems
Quantum state infinite-dimensional bipartite system entanglement
2010/12/15
In this paper, the realignment criterion and the RCCN criterion of separability for states in infinite-dimensional bipartite quantum systems are established. Let HA and HB be complex Hilbert spaces wi...
The Lattice and Simplex Structure of States on Pseudo Effect Algebras
Pseudo effect algebra effect algebra Riesz Decomposition Properties
2010/11/30
We study states, measures, and signed measures on pseudo effect algebras with some kind of the Riesz Decomposition Property, (RDP). We show that the set of all Jordan signed measures is always an Abel...
Wigner Function: from Ensemble Average of Density Operator
to Its One Matrix Element in Entangled Pure States
Wigner function ensemble average
of density operator matrix element in entangled pure states
2007/8/15
2002Vol.38No.5pp.533-536DOI:
Wigner Function: from Ensemble Average of Density Operator
to Its One Matrix Element in Entangled Pure States
FAN Hong-Yi
Department of Phys...
Intrinsic localized states and nonlinear excitations of Bloch electrons in electric fields,
2007/7/28
期刊信息
篇名
Intrinsic localized states and nonlinear excitations of Bloch electrons in electric fields,
语种
英文
撰写或编译
作者
W.M. Liu,J.Q. Liang,S.T. Chui
第一作者单位
刊物名称
Phys. Rev
页面
B65, 033102-033105
出版日期
2002年
...