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physics.class-ph2026★ 2 cited
Variational approach to nonholonomic and inequality-constrained mechanics
A. Rothkopf, W. A. Horowitz
Variational principles play a central role in classical mechanics, providing compact formulations of dynamics and direct access to conserved quantities. While holonomic systems adm…
physics.class-ph2026
Hamilton Revised: The Action Principle for Initial Value Problems
W. A. Horowitz, A. Rothkopf
We present the variational action principle for initial value problems in classical, conservative-force point particle mechanics. We rigorously derive this formulation by taking th…