100 citations · 128 across the 14 of their papers we have counts for
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math.SP2013★ 1 cited
Gauge Equivalence and the Inverse Spectral Problem for the Magnetic Schrödinger Operator on the Torus
Gregory Eskin, Jim Ralston
We study the inverse spectral problem for the Schrödinger operator on the two-dimensional torus with even magnetic field and even electric potential . V.Guillemin…
math.NA2013
Gaussian Beam Methods for the Helmholtz Equation
Hailiang Liu, James Ralston, Olof Runborg +1
In this work we construct Gaussian beam approximations to solutions of the high frequency Helmholtz equation with a localized source. Under the assumption of non-trapping rays we s…
math-ph2013★ 4 cited
The Aharonov-Bohm effect in spectral asymptotics of the magnetic Schrödinger operator
Gregory Eskin, James Ralston
We show that in the absence of a magnetic field the spectrum of the magnetic Schrödinger operator in an annulus depends on the cosine of the flux associated with the magnetic poten…