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- Michigan State UniversityUS38 papers
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Showing math-phShow all
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math-ph2007
High energy eigenfunctions of one-dimensional Schrodinger operators with polynomial potentials
Alexandre Eremenko, Andrei Gabrielov, Boris Shapiro
For a class of one-dimensional Schrodinger operators with polynomial potentials that includes Hermitian and PT-symmetric operators, we show that the zeros of scaled eigenfunctions…
math-ph2004★ 1 cited
Approximating resonances with the Complex Absorbing Potential Method
Plamen Stefanov
We study the Complex Absorbing Potential (CAP) Method in computing quantum resonances of width , . We show that up to $h^{-M}\sqrt{c(h)} +\Oh$ error, ,…
math-ph2004★ 1 cited
Mystery of point charges
Andrei Gabrielov, Dmitry Novikov, Boris Shapiro
We discuss the problem of finding an upper bound for the number of equilibrium points of a potential of several fixed point charges in R^n. This question goes back to J.C.Maxwell a…