Aims: to build upon the students' prior knowledge of Newtonian mechanics and special relativity and show that these can be understood within a deeper and more powerful mathematical framework. Students ...

Dot Physics. Lagrangian Mechanics; Using Lagrange Multipliers to Find Forces of Constraint. Posted: June 4, 2025 | Last updated: June 14, 2025. Physics and Python stuff.

Three Ways to Get the Motion of a Pendulum; Newtonian, Lagrangian, Hamiltonian. Posted: June 4, 2025 | Last updated: June 4, 2025. Physics and Python stuff.

Knowledge of Lagrangian mechanics assumed. Central force problem, scattering, rigid-body mechanics, normal modes and special relativity. Hamiltonian dynamics, canonical transformations, ...

In Hamiltonian systems, which model a wide range of phenomena from celestial mechanics to quantum dynamics, the Maslov index serves as a key indicator of spectral properties and dynamical transitions.

Physics 2210, classical mechanics/math Methods 1, is the first semester of our two-semester sequence of sophomore-level classical mechanics combined with math methods. The first semester is math heavy ...