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math-ph2018★ 8 cited
Solution of the time dependent Schrödinger equation leading to Fowler-Nordheim field emission
Ovidiu Costin, Rodica D. Costin, Ian Jauslin +1
We solve the time-dependent Schrödinger equation describing the emission of electrons from a metal surface by an external electric field , turned on at . Starting with a wa…
math.CA2018
Truncated Solutions of Painlevé Equation
Rodica D. Costin
We obtain convergent representations (as Borel summed transseries) for the five one-parameter families of truncated solutions of the fifth Painlevé equation with nonzero parameters…