2 papers
math-ph2026
Quantized Bertrand models on two-dimensional spaces of constant curvature
Agnieszka Martens
Discussed are Bertrand systems on two-dimensional spaces of constant curvature, i.e. sphere and pseudosphere (Lobachevsky space). These models often involve applying quantization t…
math-ph2024
Quantized Kepler-Coulomb dynamical models on two-dimensional constant curvature spaces
Agnieszka Martens
The paper is continuation of [6] where we have discussed some classical and quantization problems of rigid bodies of infinitesimal size moving in Riemannian spaces. Strictly speaki…