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Titlebook: A Tutorial on the WKB Approximation for Innovative Dirac Materials; Graphene and Beyond Andrii Iurov Book 2024 The Editor(s) (if applicable

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Applications of the WKB Equations to Dirac Materials,ron tunneling remains one of the central research subjects in all Dirac materials mainly because of the so-called .:a complete electron transmission through a square barrier or a step for the direct incidence. We will also apply the WKB method to investigating the electron tunneling for nonuniform potentials, . , and the tunneling in . .
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Geometrische Funktionentheorie,vior of a quantum system. Most of them are grounded on a similarity of the considered problem with some well-known and easily solvable problems, while some others require an educated guess on the unknown properties of a particle. We are going to discuss different approximation methods used in many-e
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Der Approximationssatz von Runge,d graphene, silicene, and germanene, and, finally, the so-called Kekule-patterned (Kek-Y) graphene. We will go through a rigorous derivation of all the relevant WKB equations for Dirac materials, obtained by looking for the unknown spinor wave function as a power series over the Planck’s constant ..
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https://doi.org/10.1007/978-3-322-82964-1lass of existing pseudospin-1 Dirac materials. Creating a semiclassical model for any new material traditionally builds upon an expansion of the sought wave function in a power series over the Planck’s constant . and includes deriving and solving the transport equations connecting different terms of
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Einsatz von Workflow-Management-Systemen,how all these results could be applied to studying the electronic properties and phenomena in those materials. There might be two major applications of the WKB theory: finding the quantized electron momentum for the bound or localized states of a .and calculating the tunneling probabilities for vari
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