608 citations · 2.5k across the 47 of their papers we have counts for
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Comment on "Stronger subadditivity of entropy" by Lieb and Seiringer math-ph/0412009
Mary Beth Ruskai
We show how recent results of Lieb and Seiringer [math-ph/0412009; Phys. Rev. A 71, 062329 (2005)] can be obtained from repeated use of the monotonicity of relative entropy under p…
Contractivity of positive and trace preserving maps under norms
David Perez-Garcia, Michael M. Wolf, Denes Petz +1
We provide a complete picture of contractivity of trace preserving positive maps with respect to -norms. We show that for contractivity holds in general if and only if the…
One-dimensional models for atoms in strong magnetic fields, II: Anti-Symmetry in the Landau Levels
Raymond Brummelhuis, Mary Beth Ruskai
Electrons in strong magnetic fields can be described by one-dimensional models in which the Coulomb potential and interactions are replaced by regularizations associated with the l…
One Dimensional Regularizations of the Coulomb Potential with Application to Atoms in Strong Magnetic Fields
Raymond Brummelhuis, Mary Beth Ruskai, Elisabeth Werner
We consider one-dimensional regularizations of the Coulomb potential formed by taking a two-dimensional expectation of the Coulomb potential with respect to the Landau states. It i…
A One-Dimensional Model for Many-Electron Atoms in Extremely Strong Magnetic Fields: Maximum Negative Ionization
Raymond Brummelhuis, Mary Beth Ruskai
We consider a one-dimensional model for many-electron atoms in strong magnetic fields in which the Coulomb potential and interactions are replaced by one-dimensional regularization…
Monotone Riemannian Metrics and Relative Entropy on Non-Commutative Probability Spaces
Andrew Lesniewski, Mary Beth Ruskai
We use the relative modular operator to define a generalized relative entropy for any convex operator function g on the positive real line satisfying g(1) = 0. We show that these c…