Linear harmonic oscillator in spaces with degenerate metrics
N. A. Gromov
Abstract
With the help of contraction method we study the harmonic oscillator in spaces with degenerate metrics, namely, on Galilei plane and in the flat 3D Cayley-Klein spaces R3(j2,j3). It is shown that the inner degrees of freedom are appeared which physical dimensions are different from the dimension of the space.
Create a lesson
Related papers
Uniqueness of universal quantum dimensions
M. Y. Avetisyan, R. L. Mkrtchyan
Multiple Nonlinear Waves by (Quantum) Neural Networks: Checking the AI supremacy
Luigi Martina, Riccardo Caricato, Riccardo Della Torre
Local Density Approximation and Other Limit Regimes for a Homogeneous Bose Gas with Repulsive Three-Body Interactions in Low-Dimensional Space
Thi Anh Thu Doan, Dinh-Thi Nguyen
Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the two-dimensional case
Dinh-Thi Nguyen
Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the one-dimensional case
Dinh-Thi Nguyen
A Morse-Family Integrator for Hamilton--Jacobi Dynamics Across Caustics
F. Jiménez Alburquerque, M. Leok, C. Sardón et al.