3 papers
math.SP2026
Multi-parameter Perturbations of the Laplacian and Resonance Near a Simple Embedded Eigenvalue
Hemant Bansal, Alok Maharana, Lingaraj Sahu
This paper continues the study of resonance phenomena initiated in [3] for rank-one perturbations. We consider finite-rank multi-parameter perturbations of the Laplacian on…
math.SP2026
Resonance near a doubly degenerate embedded eigenvalue
Hemant Bansal, Alok Maharana, Lingaraj Sahu
This paper extends the study of resonance phenomenon initiated by the authors in~\cite{LS} to the case of doubly degenerate embedded eigenvalues (i.e. eigenvalue of multiplicity tw…
math.SP2026
Shape-Resonance in Spectral density, Scattering Cross-section, Time delay and Bound on Sojourn time
Hemant Bansal, Alok Maharana, Lingaraj Sahu +1
The Friedrichs model~\cite{Friedrichs} is revisited to obtain precise results about the asymptotic behaviour (the so-called Breit-Wigner formula~\cite{Breit}) of a resonance near a…