Electronic States in Crystals of Finite Size

Quantum confinement of Bloch waves

SHANGYUAN REN (Autor)

Buch | Softcover

206 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2006
Springer-Verlag New York Inc.
978-1-4419-2087-4 (ISBN)

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The theory of electronic states in crystals is the very basis of modern solid state physics. In traditional solid state physics – based on the Bloch theorem – the theory of electronic states in crystals is essentially a theory of electronic states in crystals of in?nite size. However, that any real crystal always has a ?nite size is a physical reality one has to face. The di?erence between the electronic structure of a real crystal of ?nite size and the electronic structure obtained based on the Bloch theorem becomes more signi?cant as the crystal size decreases. A clear understanding of the properties of electronic states in real crystals of ?nite size has both theoretical and practical signi?cance. Many years ago when the author was a student learning solid state physics at Peking University, he was bothered by a feeling that the general use of the periodic boundary conditions seemed unconvincing. At least the e?ects of such a signi?cant simpli?cation should be clearly understood. Afterward, he learned that many of his school mates had the same feeling. Among many solid state physics books, the author found that only in the classic book Dynamic Theory of Crystal Lattices by Born and Huang was there a more detailed discussion on the e?ects of such a simpli?cation in an Appendix.

The author has been working in various areas in the field of theoretical condensed matter physics for more than twenty years and has published more than ninety research papers. Some of them are well cited.

Why a Theory of Electronic States in Crystals of Finite Size is Needed.- One-Dimensional Semi-infinite Crystals and Finite Crystals.- Mathematical Basis.- Surface States in One-Dimensional Semi-infinite Crystals.- Electronic States in Ideal One-Dimensional Crystals of Finite Length.- 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.- Epilogue.- Concluding Remarks.

Erscheint lt. Verlag	19.11.2010
Reihe/Serie	Springer Tracts in Modern Physics ; 212
Zusatzinfo	31 Illustrations, black and white; XIV, 206 p. 31 illus.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Geowissenschaften ► Mineralogie / Paläontologie
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
	Technik ► Maschinenbau
ISBN-10	1-4419-2087-0 / 1441920870
ISBN-13	978-1-4419-2087-4 / 9781441920874
Zustand	Neuware