An exact invariant is derived for n‐degree‐of‐freedom non‐relativistic Hamiltonian systems
with general time‐dependent potentials. To work out the invariant, an infinitesimalcanonical …

An exact invariant is derived for n-degree-of-freedom Hamiltonian systems with general time-
dependent potentials. The invariant is worked out in two equivalent ways. In the first …

The Struckmeier and Riedel (SR) approach is extended in real space to isolate dynamical
invariants for one-and two-dimensional time-dependent Hamiltonian systems. We further …

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 …

Exact quadratic in momenta complex invariants are investigated for both time independent
and time dependent one-dimensional Hamiltonian systems possessing higher order …

For the motion of a charged particle in a uniform, time-dependent axial magnetic field B (t)
ez, it is shown that there is an exact magnetic-moment invariant of the particle dynamics M …

In this paper, we deal with the construction of quadratic invariants in a complex phase space
under the transformation z=(x+ iy) and z¯=(xi y) for various time-dependent systems. For this …

The wave packet solution of the time-dependent Schrödinger equation for the harmonic
oscillator with time-dependent frequency yields a coupled pair of equations of motion for the …

This paper proposes an algorithm for the Lie symmetries investigation in the case of a 2D
Hamiltonian system. General Lie operators are deduced firstly and, in the the next step, the …

The paper analyses the cases of integrability for bi-dimensional systems with polynomial
autonomous Hamiltonians. We use an algorithm which allows a direct computation of a …