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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Book 2024ir applications to electron tunneling, turning points and classically forbidden regions, resonances and localized states, and many other crucial physical problems are methodically presented...This textbook aims to expand the existing approach to presenting the WKB approximation and covers recent dev

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Introduction and Overview (1): Selected Questions in Quantum Mechanics,ucceeding presentation. We discuss the quantum behavior of atomic and subatomic particles described by de Broglie waves and how it is different from that of classical objects. Semiclassical physics is an intermediate model in which quantum effects are taken into account yet considered small. We look

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Semiclassical Approximation for Graphene,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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WKB Theory for , Materials and a Dice Lattice,lass 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