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020 _a9783031600654
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024 7 _a10.1007/978-3-031-60065-4
_2doi
050 4 _aQC173.45-173.458
072 7 _aPHFC
_2bicssc
072 7 _aSCI077000
_2bisacsh
072 7 _aPHFC
_2thema
100 1 _aIurov, Andrii.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_983288
245 1 2 _aA Tutorial on the WKB Approximation for Innovative Dirac Materials
_h[electronic resource] :
_bGraphene and Beyond /
_cby Andrii Iurov.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXIV, 383 p. 78 illus., 77 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Tracts in Modern Physics,
_x1615-0430 ;
_v292
505 0 _aChapter 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 𝜶 − T3 Materials and a Dice Lattice -- Chapter 8 Applications of WKB Equations for Dirac Materials -- Chapter 9 Concluding Remarks and Research Outlook.
520 _aThis 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.
650 0 _aCondensed matter.
_966773
650 0 _aMaterials science
_xData processing.
_967985
650 0 _aElectronic structure.
_983289
650 0 _aQuantum chemistry
_xComputer programs.
_983290
650 0 _aPhotonic crystals.
_983291
650 0 _aQuantum optics.
650 0 _aMathematical physics.
650 1 4 _aTwo-dimensional Materials.
_971610
650 2 4 _aElectronic Structure Calculations.
_983292
650 2 4 _aPhotonic Crystals.
_983293
650 2 4 _aQuantum Optics.
650 2 4 _aMathematical Methods in Physics.
_970877
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031600647
776 0 8 _iPrinted edition:
_z9783031600661
776 0 8 _iPrinted edition:
_z9783031600678
830 0 _aSpringer Tracts in Modern Physics,
_x1615-0430 ;
_v292
_971873
856 4 0 _uhttps://doi.org/10.1007/978-3-031-60065-4
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c62908
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