Results 51 to 60 of about 1,414,924 (189)
Quantum Affine Algebras and Cluster Algebras
, 2020 This article is an extended version of the minicourse given by the second author at the summer school of the conference "Interactions of quantum affine algebras with cluster algebras, current algebras and categorification", held in June 2018 in Washington.
Hernandez, David, Leclerc, Bernard
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Quantum Probability's Algebraic Origin [PDF]
Entropy, 2020 Max Born's statistical interpretation made probabilities play a major role in quantum theory. Here we show that these quantum probabilities and the classical probabilities have very different origins. While the lat- ter always result from an assumed probability measure, the first include transition probabilities with a purely algebraic origin. Moreover,
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Quantum cluster algebra structures on quantum nilpotent algebras [PDF]
Memoirs of the American Mathematical Society, 2016 All algebras in a very large, axiomatically defined class of quantum nilpotent algebras are proved to possess quantum cluster algebra structures under mild conditions. Furthermore, it is shown that these quantum cluster algebras always equal the corresponding upper quantum cluster algebras. Previous approaches to these problems for the construction of (
Goodearl, K. R., Yakimov, M. T.
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
Topos-Theoretic Approaches to Quantum Theory [PDF]
, 2012 Starting from a naive investigation into the nature of experiments on a physical system one can argue that states of the system should pair non-degenerately with physical observables. This duality is closely related to that between space and quantity, or,
Vákár, Matthijs, Matthijs Vakar
core
Advanced Science, EarlyView.Sr1−xBaxCo2V2O8 is established as a magnetic‐ion‐based proper displacive ferroelectric whose transition is continuously suppressed by Ba substitution to a ferroelectric quantum critical point. In the resulting quantum paraelectric regime, a transverse magnetic field induces magnetic quantum criticality, realizing multiferroic quantum criticality and ...
Takayuki Nagai +3 more
wiley +1 more source
Spin Representations of the q-Poincare Algebra [PDF]
, 2001 In der Quantenmechanik können freie Elementarteilchen durch irreduzible Darstellungen der Poincare-Algebra beschrieben werden. Im Rahmen der Darstellungtheorie der q-deformierten Poincaré-Algebra untersucht diese Arbeit den Spin von Teilchen auf einer ...
Blohmann, Christian
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Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
Advanced Electronic Materials, EarlyView.The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
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Lie algebras: infinite generalizations and deformations [PDF]
, 1990 There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
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SPICE‐Compatible Compact Modeling of Cuprate‐Based Memristors Across a Wide Temperature Range
Advanced Electronic Materials, EarlyView.A physics‐guided compact model for YBCO memristors is introduced, incorporating carrier trapping, field‐induced detrapping, and a differential balance equation to describe their switching dynamics. The model is compared with experiments and implemented in LTspice, allowing realistic circuit‐level simulations.
Thomas Günkel +6 more
wiley +1 more source