WKB, Approximation

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"The phase-integral method in mathematics, also known as the Wentzel-Kramers-Brillouin (WKB) method, is the focus of this introductory treatment. Author John Heading successfully steers a course between simplistic and rigorous approaches to provide a concise overview for advance…

John Heading steers a course between simplistic and rigorous approaches to provide a concise overview of phase-integral methods. Topics include the Stokes phenomenon, one and two transition points, and applications.

In this doctoral thesis the two dimensional material graphene has been studied in depth with particular respect to Zener tunnelling devices. From the hexagonal structure the Hamiltonian at a Dirac point was derived with the option of including an energy gap. This Hamiltonian was…