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physics.class-ph2023
Exact invariants for a class of three-dimensional time-dependent classical Hamiltonians
Jürgen Struckmeier, Claus Riedel
An exact invariant is derived for three-dimensional Hamiltonian systems of particles confined within a general velocity-independent potential. The invariant is found to contain…
physics.class-ph2023★ 26 cited
Noether's theorem and Lie symmetries for time-dependent Hamilton-Lagrange systems
Jürgen Struckmeier, Claus Riedel
Noether and Lie symmetry analyses based on point transformations that depend on time and spatial coordinates will be reviewed for a general class of time-dependent Hamiltonian syst…
physics.class-ph2023★ 25 cited
Invariants for time-dependent Hamiltonian systems
Jürgen Struckmeier, Claus Riedel
An exact invariant is derived for -degree-of-freedom Hamiltonian systems with general time-dependent potentials. The invariant is worked out in two equivalent ways. In the first…