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Free evolution on algebras with two states II
Free evolution algebras two states II Operator Algebras
2012/4/17
Denote by $J$ the operator of coefficient stripping. We show that for any free convolution semigroup of measures $\nu_t$ with finite variance, applying a single stripping produces semicircular evoluti...
Stable states and representations of the infnite symmetric group
Stable states representations of the infnite symmetric group Functional Analysis
2012/4/18
We introduce the notion of stable representations, -- it is a new class of the representations of a certain class of groups which defined with positive definite functions which generalize the classica...
Fidelity of states in infinite dimensional quantum systems
Quantum states fidelity entanglement fidelity
2011/9/29
Abstract: In this paper we discuss the fidelity of states in infinite dimensional systems, give an elementary proof of the infinite dimensional version of Uhlmann's theorem, and then, apply it to gene...
Approximate KMS states for scalar and spinor fields in Friedmann-Robertson-Walker spacetimes
Approximate KMS scala spinor fields Friedmann-Robertson-Walker spacetimes
2010/12/16
We construct and discuss Hadamard states for both scalar and Dirac spinor fields in a large
class of spatially flat Friedmann-Robertson-Walker spacetimes characterised by an initial phase either of e...
Reformulation of the Covering and Quantizer Problems as Ground States of Interacting Particles
Reformulation Covering Quantizer Problems Ground States
2010/12/16
It is known that the sphere packing problem and the number variance problem (closely related
to an optimization problem in number theory) can be posed as energy minimizations associated
with an infi...