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math-ph2018
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…
math-ph2018
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…
math-ph2015★ 1 cited
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…