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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...
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...
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...