LEADER 04707nam 22008055 450 001 9910254594803321 005 20200630132959.0 010 $a981-10-4718-9 024 7 $a10.1007/978-981-10-4718-3 035 $a(CKB)4100000000587565 035 $a(DE-He213)978-981-10-4718-3 035 $a(MiAaPQ)EBC6302352 035 $a(MiAaPQ)EBC5577540 035 $a(Au-PeEL)EBL5577540 035 $a(OCoLC)1003284015 035 $a(PPN)204533228 035 $a(EXLCZ)994100000000587565 100 $a20170902d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aElectronic States in Crystals of Finite Size $eQuantum Confinement of Bloch Waves /$fby Shang Yuan Ren 205 $a2nd ed. 2017. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2017. 215 $a1 online resource (XVI, 283 p. 42 illus.) 225 1 $aSpringer Tracts in Modern Physics,$x0081-3869 ;$v270 311 $a981-10-4716-2 320 $aIncludes bibliographical references and index. 327 $aPart I Why a Theory of Electronic States in Crystals of Finite Size is Needed -- Introduction -- Part II One-Dimensional Semi-infinite Crystals and Finite Crystals -- The Periodic Sturm-Liouville Equations -- Surface States in One-Dimensional Semi-infinite Crystals -- Electronic States in Ideal One-Dimensional Crystals of Finite Length -- Part III Low-Dimensional Systems and Finite Crystals -- Electronic States in Ideal Quantum Films -- Electronic States in Ideal Quantum Wires -- Electronic States in Ideal Finite Crystals or Quantum Dots -- Part IV Epilogue -- Concluding Remarks --  Appendices. 330 $aThis book presents an analytical theory of the electronic states in ideal low dimensional systems and finite crystals based on a differential equation theory approach. It provides precise and fundamental understandings on the electronic states in ideal low-dimensional systems and finite crystals, and offers new insights into some of the basic problems in low-dimensional systems, such as the surface states and quantum confinement effects, etc., some of which are quite different from what is traditionally believed in the solid state physics community. Many previous predictions have been confirmed in subsequent investigations by other authors on various relevant problems. In this new edition, the theory is further extended to one-dimensional photonic crystals and phononic crystals, and a general theoretical formalism for investigating the existence and properties of surface states/modes in semi-infinite one-dimensional crystals is developed. In addition, there are various revisions and improvements, including using the Kronig-Penney model to illustrate the analytical theory and make it easier to understand. This book is a valuable resource for solid-state physicists and material scientists. 410 0$aSpringer Tracts in Modern Physics,$x0081-3869 ;$v270 606 $aNanoscale science 606 $aNanoscience 606 $aNanostructures 606 $aCrystallography 606 $aMaterials?Surfaces 606 $aThin films 606 $aOptics 606 $aElectrodynamics 606 $aAcoustics 606 $aNanoscale Science and Technology$3https://scigraph.springernature.com/ontologies/product-market-codes/P25140 606 $aCrystallography and Scattering Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/P25056 606 $aSurfaces and Interfaces, Thin Films$3https://scigraph.springernature.com/ontologies/product-market-codes/Z19000 606 $aClassical Electrodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21070 606 $aAcoustics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21069 615 0$aNanoscale science. 615 0$aNanoscience. 615 0$aNanostructures. 615 0$aCrystallography. 615 0$aMaterials?Surfaces. 615 0$aThin films. 615 0$aOptics. 615 0$aElectrodynamics. 615 0$aAcoustics. 615 14$aNanoscale Science and Technology. 615 24$aCrystallography and Scattering Methods. 615 24$aSurfaces and Interfaces, Thin Films. 615 24$aClassical Electrodynamics. 615 24$aAcoustics. 676 $a548.85 700 $aRen$b Shang Yuan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0933733 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254594803321 996 $aElectronic States in Crystals of Finite Size$92102085 997 $aUNINA