3 papers
math-ph2026
Dynamical symmetries of the anisotropic oscillator
Akash Sinha, Aritra Ghosh, Bijan Bagchi
It is well known that the Hamiltonian of an -dimensional isotropic oscillator admits an symmetry, making the system maximally superintegrable. However, the dynamical sym…
math-ph2026
Generalized virial theorem for contact Hamiltonian systems
Aritra Ghosh
We formulate and study a generalized virial theorem for contact Hamiltonian systems. Such systems describe mechanical systems in the presence of simple dissipative forces such as R…
math.NT2024
Bounds for short character sums for twists
Aritra Ghosh
Let be a Hecke Maass-cusp form, be a holomorphic cusp form or Maass-cusp form with normalized Fourier coefficients $λ_Ï(r,n) \text{…