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The Smooth Entropy Formalism on von Neumann Algebras
Smooth Entropy Formalism von Neumann Algebras Quantum Physics
2011/10/9
Abstract: We discuss quantum information theoretical concepts on von Neumann algebras and lift the smooth entropy formalism to the most general quantum setting. For the smooth min- and max-entropies w...
Infinitely many constrained inequalities for the von Neumann entropy
von Neumann entropy Quantum Physics
2011/9/29
Abstract: We exhibit infinitely many new, constrained inequalities for the von Neumann entropy, and show that they are independent of each other and the known inequalities obeyed by the von Neumann en...
Eigenvalue Problem in Two Dimensions for an Irregular Boundary II: Neumann Condition
Eigenvalue Problem Two Dimensions Irregular Boundary II Neumann Condition
2011/7/26
Eigenvalue Problem in Two Dimensions for an Irregular Boundary II: Neumann Condition.
Convergence of the Neumann series for the Schrodinger equation and general Volterra equations in Banach spaces
Neumann Convergence the Schrodinger equation
2011/7/26
Abstract: The objective of the article is to treat the Schrodinger equation in parallel with a standard treatment of the heat equation. In the mathematics literature, the heat equation initial value p...
Spectral and localization properties of the Dirichlet wave guide with two concentric Neumann discs
Spectral and localization properties the Dirichlet wave guide
2010/11/19
Bound states of the Hamiltonian describing a quantum particle living on three dimensional straight strip of width $d$ are investigated. We impose the Neumann boundary condition on the two concentric w...
Gaussian flexibility with Fourier accuracy: the periodic von Neumann basis set
Gaussian flexibility Fourier accuracy Neumann basis set
2010/11/5
We propose a new method for solving quantum mechanical problems, which combines the flexibility of Gaussian basis set methods with the numerical accuracy of the Fourier method. The method is based on ...
Abelian subalgebras and the Jordan structure of a von Neumann algebra
von Neumann algebra Jordan structure abelian subalgebra orthomodular lattice
2010/10/27
For von Neumann algebrasM,N without type I2 summands, we show that for an orderisomorphism
f : AbSub M → AbSub N between the posets of abelian von Neumann-subalgebras of M and N, there is a unique Jo...
Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian
Eigenvalue Asymptotics magnetic field Landau-Neumann Hamiltonian
2009/9/4
We study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in ℝ2d, d≥1. The spectrum of this operator consists of clusters of eigenvalues around th...
Pedagogical applications of the one-dimensional Schrödinger's equation to proximity effect systems: Comparison of Dirichlet and Neumann boundary conditions
Pedagogical applications one-dimensional Schrö dinger's effect systems Dirichlet and Neumann boundary
2010/4/9
Proximity effect systems in superconducting films can be modeled by a one-dimensional Schr\"odinger equation. Several systems are studied using Dirichlet and Neumann boundary conditions. It is observe...
A New Integrable Symplectic Map of Neumann Type
Neumann constraint symplectic map Liouville integrablility
2007/8/15
2007Vol.47No.4pp.577-581DOI:
A New Integrable Symplectic Map of Neumann Type
ZHU Jun-Yi and GENG Xian-Guo
Department of Mathematics, Zhengzhou University, Zhengzhou 4500...
Von Neumann Quantum Logic vs. Classical von Neumann Architecture?
Von Neumann Quantum Logic Classical von Neumann Architecture
2010/10/18
The name of John von Neumann is common both in quantum mechanics and computer science. Are they really two absolutely unconnected areas? Many works devoted to quantum computations and communications a...