منابع مشابه
Twist Positivity
We study a heat kernel e defined by a self-adjoint Hamiltonian H acting on a Hilbert space H, and a unitary representation U(g) of a symmetry group G of H, normalized so that the ground vector of H is invariant under U(g). The triple [H, U(g), H] defines a twisted partition function Zg and a twisted Gibbs expectation ( } ) g , Zg=TrH (U(g) e&;H) and ( } ) g=TrH (U(g) } e) TrH (U(g) e). We say t...
متن کاملTwist Positivity for Lagrangian Symmetries *
We prove twist positivity and positivity of the pair correlation function for combined spatial and internal symmetries of free bosonic Lagrangians. We work in a general setting, extending the results obtained in Twist Positivity [1]. Work supported in part by the Department of Energy under Grant DE-FG02-94ER-25228. This research was carried out in part for the Clay Mathematics Institute.
متن کاملv 1 1 3 Ju l 2 00 0 Twist Positivity for Lagrangian Symmetries ∗
We prove twist positivity and positivity of the pair correlation function for combined spatial and internal symmetries of free bosonic Lagrangians. We work in a general setting, extending the results obtained in Twist Positivity [1]. Work supported in part by the Department of Energy under Grant DE-FG02-94ER-25228. This research was carried out in part for the Clay Mathematics Institute.
متن کاملPositivity and Conditional Positivity of Loewner Matrices
We give elementary proofs of the fact that the Loewner matrices [ f(pi)−f(pj) pi−pj ] corresponding to the function f(t) = t on (0,∞) are positive semidefinite, conditionally negative definite, and conditionally positive definite, for r in [0, 1], [1, 2], and [2, 3], respectively. We show that in contrast to the interval (0,∞) the Loewner matrices corresponding to an operator convex function on...
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The 20.9 kDa protein encoded by TWIST1 gene is a highly conserved transcription factor that belongs to the family of basic helix-loop-helix (bHLH) proteins. In vertebrates, it is involved in embryonic development through the regulation of epithelial-mesenchymal transitions (EMT) during neural crest migration, also it regulates mesoderm determination, myogenesis, and morphogenesis (Hebrok et al....
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 1999
ISSN: 0003-4916
DOI: 10.1006/aphy.1999.5918