Dynamical analysis of mass-spring models using Lie algebraic methods

DOI10.1016/J.PHYSA.2019.123193OpenAlexW2981886859MaRDI QIDQ2067167

Irán Ramos-Prieto, Héctor Moya-Cessa, Francisco Soto-Eguibar, Alejandro R. Urzúa

Publication date: 17 January 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02542

zbMATH Keywords

Lie algebrasmodal analysisparticle kinematicsquantum optics methodsvibrational systems

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Uses Software

• DLMF

Cites Work

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• Analytically solvable Hamiltonians for quantum systems with a nearest-neighbour interaction
• Discrete fractional Fourier transform: Vandermonde approach
• A discrete quantum model of the harmonic oscillator

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