南京大学：《凝聚态物理学导论》教学资源（讲义，英文版）Introduction to Condensed Matter Physics

Home Page Introduction to Contents Condensed Matter Physics Jin Guojun Go Back Full Screen Nanjing University Close February 12, 2004

Home Page Title Page Contents JJ II J I Page 1 of 41 Go Back Full Screen Close Quit Introduction to Condensed Matter Physics Jin Guojun Nanjing University February 12, 2004

Home Page Titie Contents Go Back Full Screen Close

Home Page Title Page Contents JJ II J I Page 2 of 41 Go Back Full Screen Close Quit

Part Il Home Page Title Page Contents Wave Behavior in Various Structures → Go Back Full Screen Close

Home Page Title Page Contents JJ II J I Page 3 of 41 Go Back Full Screen Close Quit Part II Wave Behavior in Various Structures

Home Page Title Page Contents Go Back Full Screen Close

Home Page Title Page Contents JJ II J I Page 4 of 41 Go Back Full Screen Close Quit

Home Page Titie Contents Solid state physics: Revisit and Extension Go Back Full Screen Close

Home Page Title Page Contents JJ II J I Page 5 of 41 Go Back Full Screen Close Quit Solid State Physics: Revisit and Extension

Like as the waves make towards the pebbled shore Home Page Title Page So do our minutes hasten to their end Contents Each changing place with that which goes before In sequent toil all forward to contend → William Shakespeare Go Back Full Screen Close

Home Page Title Page Contents JJ II J I Page 6 of 41 Go Back Full Screen Close Quit Like as the waves make towards the pebbled shore, So do our minutes hasten to their end, Each changing place with that which goes before, In sequent toil all forward to contend. — William Shakespeare

Waves always behave in a similar way whether Home Page they are longitudinal or transverse, elastic or Title Page electric. Scientists of last century always kept Contents this idea in mind. .. This general philosophy of wave propagation, forgotten for a time, has been → strongly revived in the last decade Go Back Brillouin(1946) Full Screen Close

Home Page Title Page Contents JJ II J I Page 7 of 41 Go Back Full Screen Close Quit Waves always behave in a similar way, whether they are longitudinal or transverse, elastic or electric. Scientists of last century always kept this idea in mind · · · . This general philosophy of wave propagation, forgotten for a time, has been strongly revived in the last decade · · · — L. Brillouin (1946)

5. Wave Propagation in Periodic and Quasiperiodic Structures Home Page 6. Dynamics of Bloch Electrons Title Page Contents 7. Surface and Impurity Effects 8. Transport Properties → 9. Wave Localization in Disordered Systems Go Back 10. Mesoscopic Quantum Transport Full Screen Close

Home Page Title Page Contents JJ II J I Page 8 of 41 Go Back Full Screen Close Quit 5. Wave Propagation in Periodic and Quasiperiodic Structures 6. Dynamics of Bloch Electrons 7. Surface and Impurity Effects 8. Transport Properties 9. Wave Localization in Disordered Systems 10. Mesoscopic Quantum Transport

Contents Home Page Title Page II Wave Behavior in Various Structures 3 5 Wave Propagation in Periodic and Quasiperiodic Structures 3 5.1 Unity of the Concept for Wave Propagation 5.1.1 Wave Equations and Periodic Potentials Go Back 5.1.2 Bloch Waves 558 Full Screen 5.1.3 Revival of the Study on Classical Waves Close 5.2 Electrons in Crystals 5.2.1 Free Electron Gas Model 14

Home Page Title Page Contents JJ II J I Page 9 of 41 Go Back Full Screen Close Quit Contents II Wave Behavior inVarious Structures 3 5 Wave Propagation in Periodic and Quasiperiodic Structures 3 5.1 Unity of the Concept for Wave Propagation . . . . . . 5 5.1.1 Wave Equations and Periodic Potentials . . . . 5 5.1.2 Bloch Waves . . . . . . . . . . . . . . . . . . . . 8 5.1.3 Revival of the Study on Classical Waves . . . . 11 5.2 Electrons in Crystals . . . . . . . . . . . . . . . . . . . 14 5.2.1 Free Electron Gas Model . . . . . . . . . . . . . 14

5.2.2 Nearly-Free Electron Model 5.2.3 Tight-Binding Electron Model 5.2.4 Kronig-Penney Model for Superlattices 5.2.5 Density of States and Dimensionality 35 5.3 Lattice Waves and Elastic Waves 5.3.1 Dispersion Relation of Lattice Waves Home Page 5.3.2 Frequency Spectrum of Lattice Waves Title Page 5.3.3 Elastic Waves in Periodic Composites Contents 5.4 Electromagnetic Waves in PeriodicStructures 5.4.1 Photonic Bandgaps in Layered PeriodicMedia. 39 5.4.2 Dynamical Theory of X-Ray Diffraction 5.4.3 Bandgaps in Three-DimensionalPhotonic Crystals 39 age 10 of 4. 5.4.4 Quasi Phase Matching in NonlinearOptical Crystals 39 5.5 Quasiperiodic Structures 40 Go Back 5.5.1 One-Dimensional Quasiperiodic Structure 40 Full Screen 5.5.2 Two-Dimensional Quasiperiodic Structures Close 5.5.3 Three-Dimensional Quasicrystals 5.6 Waves in Quasiperiodic Structures

Home Page Title Page Contents JJ II J I Page 10 of 41 Go Back Full Screen Close Quit 5.2.2 Nearly-Free Electron Model . . . . . . . . . . . 17 5.2.3 Tight-Binding Electron Model . . . . . . . . . . 23 5.2.4 Kronig-Penney Model for Superlattices . . . . . 27 5.2.5 Density of States and Dimensionality . . . . . . 35 5.3 Lattice Waves and Elastic Waves . . . . . . . . . . . . 38 5.3.1 Dispersion Relation of Lattice Waves . . . . . . 38 5.3.2 Frequency Spectrum of Lattice Waves . . . . . . 38 5.3.3 Elastic Waves in Periodic Composites . . . . . . 38 5.4 Electromagnetic Waves in PeriodicStructures . . . . . . 39 5.4.1 Photonic Bandgaps in Layered PeriodicMedia . 39 5.4.2 Dynamical Theory of X-Ray Diffraction . . . . 39 5.4.3 Bandgaps in Three-DimensionalPhotonic Crystals 39 5.4.4 Quasi Phase Matching in NonlinearOptical Crystals 39 5.5 Quasiperiodic Structures . . . . . . . . . . . . . . . . . 40 5.5.1 One-Dimensional Quasiperiodic Structure . . . 40 5.5.2 Two-Dimensional Quasiperiodic Structures . . . 40 5.5.3 Three-Dimensional Quasicrystals . . . . . . . . 40 5.6 Waves in Quasiperiodic Structures . . . . . . . . . . . . 41