A Tutorial on the WKB Approximation for Innovative Dirac Materials Graphene and Beyond /
This textbook serves to supplement existing quantum mechanics courses with the WKB (Wentzel–Kramers–Brillouin) theory for recently discovered Dirac materials, such as graphene, a dice lattice, and alpha-T3 materials. This includes finding the semiclassical wave function, coordinate-dependent momentu...
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| Format: | Elektronički e-knjiga |
| Jezik: | engleski |
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Springer Nature Switzerland : Imprint: Springer,
2024.
|
| Izdanje: | 1st ed. 2024. |
| Serija: | Springer Tracts in Modern Physics,
292 |
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| Online pristup: | https://doi.org/10.1007/978-3-031-60065-4 |
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| 245 | 1 | 2 | |a A Tutorial on the WKB Approximation for Innovative Dirac Materials |h [electronic resource] : |b Graphene and Beyond / |c by Andrii Iurov. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2024. | |
| 300 | |a XIV, 383 p. 78 illus., 77 illus. in color. |b online resource. | ||
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| 490 | 1 | |a Springer Tracts in Modern Physics, |x 1615-0430 ; |v 292 | |
| 505 | 0 | |a Chapter 1 Introduction and Overview (1) -- Chapter 2 Introduction and Overview (2) -- Chapter 3 Basic Formulation of the Wentzel–Kramers–Brillouin (WKB) Theory -- Chapter 4 Describing Actual Quantum Systems Using the WKB Theory -- Chapter 5 Dirac Cone Materials -- Chapter 6 Semiclassical Approximation for Graphene -- Chapter 7 WKB Theory for − T3 Materials and a Dice Lattice -- Chapter 8 Applications of WKB Equations for Dirac Materials -- Chapter 9 Concluding Remarks and Research Outlook. | |
| 520 | |a This textbook serves to supplement existing quantum mechanics courses with the WKB (Wentzel–Kramers–Brillouin) theory for recently discovered Dirac materials, such as graphene, a dice lattice, and alpha-T3 materials. This includes finding the semiclassical wave function, coordinate-dependent momentum, semiclassical action, the complete set of transport equations, and applicability conditions for the approximation. The discovery of graphene and its unique electronic behavior has transformed research in condensed matter physics over the last 10-15 years, but core curriculum in standard graduate-level physics courses still does not reflect these new developments and this book intends to close this gap. With a clear focus on various types of Dirac Hamiltonians, the multidimensional theory is only a small part of the book. The derivation of the WKB equations for novel Dirac materials and their 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 developments in its applications. This book also includes many informative graphics, as well as problems and exercises with hints at the end of each chapter. Additional detailed mathematical derivations, as well as code in Mathematica, are added throughout the whole book. Ideal for graduate students and researchers in condensed matter physics, this textbook serves as a modern guide for learning the WKB theory. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
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