A $$C^*$$C∗-algebraic approach to the principal symbol II
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Annalen"
DOI: 10.1007/s00208-019-01822-7
Abstract: We introduce an abstract theory of the principal symbol mapping for pseudodifferential operators extending the results of Sukochev and Zanin (J Oper Theory, 2019) and providing a simple algebraic approach to the theory of pseudodifferential… read more here.
Keywords: theory; approach principal; algebraic approach; approach ... See more keywords
An algebraic approach to calculate Franck–Condon factors
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DOI: 10.1007/s10910-019-01071-8
Abstract: An algebraic approach based on unitary algebras to calculate Franck–Condon factors (FCF’s) is presented. The method is based on the unitary group approach, which consists in adding a scalar boson to the $$\nu $$ ν… read more here.
Keywords: calculate franck; franck condon; condon factors; algebraic approach ... See more keywords
On a Logico-Algebraic Approach to AGM Belief Contraction Theory
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DOI: 10.1007/s10992-020-09587-0
Abstract: In this paper we investigate AGM belief contraction operators by using the tools of algebraic logic. We generalize the notion of contraction to arbitrary finitary propositional logics, and we show how to switch from a… read more here.
Keywords: agm belief; logico algebraic; belief contraction; contraction ... See more keywords
Algebraic approach and Berry phase of a Hamiltonian with a general SU(1, 1) symmetry
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DOI: 10.1063/5.0027957
Abstract: In this paper we study a general Hamiltonian with a linear structure given in terms of two different realizations of the $SU(1,1)$ group. We diagonalize this Hamiltonian by using the similarity transformations of the $SU(1,1)$… read more here.
Keywords: phase hamiltonian; algebraic approach; hamiltonian general; berry phase ... See more keywords
Algebraic approach to annihilation and repulsion of bound states in the continuum in finite systems
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DOI: 10.1063/5.0142892
Abstract: We present an algebraic approach to the description of bound states in the continuum (BICs) in finite systems with a discrete energy spectrum coupled to several decay channels. General estimations and bounds on the number… read more here.
Keywords: bound states; states continuum; annihilation repulsion; finite systems ... See more keywords
OPERATOR ALGEBRAIC APPROACH TO INVERSE AND STABILITY THEOREMS FOR AMENABLE GROUPS
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DOI: 10.1112/s0025579318000335
Abstract: We prove an inverse theorem for the Gowers $U^2$-norm for maps $G\to\mathcal M$ from an countable, discrete, amenable group $G$ into a von Neumann algebra $\mathcal M$ equipped with an ultraweakly lower semi-continuous, unitarily invariant… read more here.
Keywords: vert; approach inverse; algebraic approach; inverse ... See more keywords
On a Lie Algebraic Approach to Abelian Extensions of Associative Algebras
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DOI: 10.4153/s0008439520000193
Abstract: Abstract By using a representation of a Lie algebra on the second Hochschild cohomology group, we construct an obstruction class to extensibility of derivations and a short exact sequence of Wells type for an abelian… read more here.
Keywords: extensions associative; approach abelian; abelian extensions; algebraic approach ... See more keywords