A Variational Solution of the Schrödinger Equation in an Inhomogeneous Central Field
1 Keldysh Institute of Applied Mathematics Miusskaya sq., 4 Moscow, 125047, Russia
Published online: 14 February 2018
The present work is devoted to the computer modeling of emission processes from the graphene surface which is a promising material for modern applications. We examine the effect of the ion field inhomogeneity on the variational solution of the Schrödinger equation for the ground state of a loosely bound electron of a hydrogen-like carbon atom, which simulates the graphene model. This shows a significant impact of the allowance for the field inhomogeneity to the ground state of the electron.
© The Authors, published by EDP Sciences, 2018
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