5 papers
Limits of the Formal Integrals of Motion
George Contopoulos, Athanasios C. Tzemos, Foivos Zanias
We consider a formal (approximate) integral of motion in Hamiltonians of the form generalizing previous c…
Bohmian Chaos and Entanglement in a Two-Qubit System
Athanasios C. Tzemos, George Contopoulos, Foivos Zanias
We study in detail the critical points of Bohmian flow, both in the inertial frame of reference (Y-points) and in the frames centered at the moving nodal points of the guiding wave…
Orbits in the integrable Hénon-Heiles systems
Athanasios C. Tzemos, George Contopoulos, Foivos Zanias
We study in detail the form of the orbits in integrable generalized Hénon-Heiles systems with Hamiltonians of the form $H = \frac{1}{2}(\dot{x}^2 + Ax^2 + \dot{y}^2 + By^2) + ε(x…
Integrals and chaos in generalized Hénon-Heiles Hamiltonians
G. Contopoulos, A. C. Tzemos, F. Zanias
We study the approximate (formal) integrals of motion in the Hamiltonian which i…
Classical and Bohmian trajectories in integrable and non integrable systems
George Contopoulos, Athanasios C. Tzemos
In the present paper we study the classical and the quantum Hénon-Heiles systems. In particular we make a comparison between the classical and the quantum trajectories of the inte…