Mathematical Physics of Quantum Mechanics [PDF]
, 2005 This contribution summarizes our work with M.Zworski on open quantum open chaoticmaps (math-ph/0505034). For a simple chaotic scattering system (the open quantum baker's map), we compute the "long-living resonances" in the semiclassical r\'{e}gime, and ...
S. Nonnenmacher
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Using Math in Physics: 6. Reading the physics in a graph [PDF]
Physics Teacher, 2023 Learning to use math in physics involves combining (blending) our everyday experiences and the conceptual ideas of physics with symbolic mathematical representations. Graphs are one of the best ways to learn to build the blend.
Edward Redish
exaly +2 more sources
Eurasia Journal of Mathematics, Science and Technology Education, 2017 This research proposes theoretical and methodological recommendations that would develop search and research skills applied by prospective math teachers while teaching a course on mathematical physics equations.
B. Sydykhov +6 more
exaly +2 more sources
ON THE PROPAGATION OF EQUATORIAL WAVES INTERACTING WITH A NON-UNIFORM CURRENT [PDF]
Open Communications in Nonlinear Mathematical Physics, 2022 We consider the propagation of equatorial waves of small amplitude, in a flow with an underlying non-uniform current. Without making the too restrictive rigid-lid approximation, by exploiting the available Hamiltonian structure of the problem, we derive ...
Emil Novruzov
doaj +1 more source
Further enumeration results concerning a recent equivalence of restricted inversion sequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 Let asc and desc denote respectively the statistics recording the number of ascents or descents in a sequence having non-negative integer entries.
Toufik Mansour, Mark Shattuck
doaj +1 more source
Classification and Clustering of arXiv Documents, Sections, and Abstracts, Comparing Encodings of Natural and Mathematical Language [PDF]
ACM/IEEE Joint Conference on Digital Libraries, 2020 In this paper, we show how selecting and combining encodings of natural and mathematical language affect classification and clustering of documents with mathematical content.
Philipp Scharpf +5 more
semanticscholar +1 more source
On the Stochastic Sine-Gordon Model: An Interacting Field Theory Approach [PDF]
Communications in Mathematical Physics, 2023 We investigate the massive sine-Gordon model in the finite ultraviolet regime on the two-dimensional Minkowski spacetime (R2,η)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
Alberto Bonicelli +2 more
semanticscholar +1 more source
Poisson–Hopf deformations of Lie–Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 The formalism for Poisson–Hopf (PH) deformations of Lie–Hamilton (LH) systems, recently proposed in Ballesteros Á et al (2018 J. Phys. A: Math. Theor. 51 065202), is refined in one of its crucial points concerning applications, namely the obtention of ...
Á. Ballesteros +4 more
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Characterizing covariational reasoning in physics modeling
Physics Education Research Conference Proceedings, 2022 Covariational reasoning—considering how changes in one quantity affect another, related quantity—is a foundation of quantitative modeling in physics. Understanding quantitative models is a learning objective of introductory physics instruction at the ...
Alexis Olsho +5 more
semanticscholar +1 more source
On Quasi-Energy-Spectra, Pair Correlations of Sequences and Additive Combinatorics [PDF]
, 2017 The investigation of the pair correlation statistics of sequences was initially motivated by questions concerning quasi-energy-spectra of quantum systems.
I. Aichinger, C. Aistleitner, G. Larcher
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