Ambiguities appearing in the study of time-dependent constants of motion for the one-dimensional harmonic oscillator

DOI10.1023/A:1026628221912zbMath0965.70032OpenAlexW295332713MaRDI QIDQ1303632

V. Pereyra

Publication date: 23 July 2001

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026628221912

zbMATH Keywords

Euler-Lagrange equationsHamiltonianLagrangianLegendre transformationone-dimensional harmonic oscillatornon-uniqueness of time-dependent Lagrangiantime-dependent constants of motion

Mathematics Subject Classification ID

Linear vibration theory (70J99) Lagrange's equations (70H03)

Related Items (3)

Statistical physics on the space \((x, v)\) for dissipative systems and study of an ensemble of harmonic oscillators in a weak linear dissipative medium ⋮ Ambiguities on the quantization of a one-dimensional dissipative system with position depending dissipative coefficient ⋮ Velocity quantization approach of the one-dimensional dissipative harmonic oscillator

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