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Minimal Length Elements of Thompson's Group F

Geometriae Dedicata, 2003
This paper faces an important issue about finite presentations of Thompson's group \(F\): the problem of determining the length and the form of the minimal elements of \(F\). In particular, the author focuses on the two generator presentation \[ \langle a, b : [a b^{-1}, a^{-1} b a],\;[a b^{-1}, a^{-2} b a^2] \rangle.
openaire   +2 more sources

Classification of the homotopy classes and minimal length elements in spaces of bounded curvature paths.

2013
© 2013 Dr. Jose Manuel Ayala Hoffmann ; A bounded curvature path corresponds to a C¹ and piecewise C² path lying in R² having its curvature bounded by a positive constant and connecting two elements of the tangent bundle TR². In this thesis we develop techniques to answer questions about the connectivity of the spaces of bounded curvature paths and to ...
openaire   +1 more source

On generalized quantum scattering theory: Rayleigh scattering and Thomson scattering with a minimal length

Physics Letters, Section A: General, Atomic and Solid State Physics, 2021
Fidèle J Twagirayezu
exaly  

Minimal Length Scale Scenarios for Quantum Gravity

Living Reviews in Relativity, 2013
Sabine Hossenfelder
exaly  

On the Duffin–Kemmer–Petiau equation with linear potential in the presence of a minimal length

Physics Letters, Section A: General, Atomic and Solid State Physics, 2018
Yassine Chargui
exaly  

Schrödinger equation and resonant scattering in the presence of a minimal length

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2014
Salah Haouat
exaly  

A minimal length versus the Unruh effect

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2011
Piero Nicolini, Massimiliano Rinaldi
exaly  

Alternative solution of the gamma-rigid Bohr Hamiltonian in minimal length formalism

Nuclear Physics A, 2017
Hassan Hassanabadi, M Alimohammadi
exaly  

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