1 citations · 1 across the 4 of their papers we have counts for
4 papers
Quantitative Magnetic Isoperimetric Inequality
Rohan Ghanta, Lukas Junge, Leo Morin
In 1996 Erdoes showed that among planar domains of fixed area, the smallest principal eigenvalue of the Dirichlet Laplacian with a constant magnetic field is uniquely achieved on t…
Pekar's Ansatz and the Ground-State Symmetry of a Bound Polaron
Rohan Ghanta
We consider a Fröhlich polaron bound in a symmetric Mexican hat-type potential. The ground state is unique and therefore invariant under rotations. However, we show that the minimi…
Ground State of the Polaron Hydrogenic Atom in a Strong Magnetic Field
Rohan Ghanta
The ground-state electron density of a polaron bound to a Coulomb potential in a homogeneous magnetic field--the transverse coordinates integrated out--converges pointwise and weak…
On the ground-state wave function of the one-dimensional polaron in the strong-coupling limit
Rohan Ghanta
We consider the one-dimensional Froehlich polaron localized in a symmetric decreasing electric potential. It is known that the non-linear Pekar functional corresponding to our mode…