Electronic States in Crystals of Finite Size

Electronic States in Crystals of Finite Size PDF Author: SHANGYUAN REN
Publisher: Springer
ISBN: 0387263047
Category : Science
Languages : en
Pages : 209

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Book Description
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.

Electronic States in Crystals of Finite Size

Electronic States in Crystals of Finite Size PDF Author: SHANGYUAN REN
Publisher: Springer
ISBN: 0387263047
Category : Science
Languages : en
Pages : 209

Get Book Here

Book Description
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.

Electronic States in Crystals of Finite Size

Electronic States in Crystals of Finite Size PDF Author: Shang Yuan Ren
Publisher: Springer
ISBN: 9811047189
Category : Science
Languages : en
Pages : 290

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Book Description
This 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.

Semiconductor Nanocrystals

Semiconductor Nanocrystals PDF Author: Alexander L. Efros
Publisher: Springer Science & Business Media
ISBN: 1475736770
Category : Technology & Engineering
Languages : en
Pages : 277

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Book Description
A physics book that covers the optical properties of quantum-confined semiconductor nanostructures from both the theoretical and experimental points of view together with technological applications. Topics to be reviewed include quantum confinement effects in semiconductors, optical adsorption and emission properties of group IV, III-V, II-VI semiconductors, deep-etched and self assembled quantum dots, nanoclusters, and laser applications in optoelectronics.

Group Theory For Physicists

Group Theory For Physicists PDF Author: Zhong-qi Ma
Publisher: World Scientific Publishing Company
ISBN: 9813101482
Category : Science
Languages : en
Pages : 512

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Book Description
This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.

Recent Developments in Sturm-Liouville Theory

Recent Developments in Sturm-Liouville Theory PDF Author: Anton Zettl
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311071938X
Category : Mathematics
Languages : en
Pages : 236

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Book Description
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Phononics

Phononics PDF Author: Léonard Dobrzyński
Publisher: Elsevier
ISBN: 0128099313
Category : Science
Languages : en
Pages : 398

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Book Description
Phononics: Interface Transmission Tutorial Book Series provides an investigation of modern systems that includes a discrete matrix description. Classical continuous systems relying on the use of differential equations are recalled, showing that they generally have a specific limit on their corresponding modern matrix formulation. A detailed description of the mathematical languages that enables readers to find the composite system linear transmission properties is provided in the appendix. The physical model is described with exacting detail, and the bibliography is built to cite—in chronological order—all the scientists that have contributed over many years. Each volume is written with the aim of providing an up-to-date and concise summary of the present knowledge of interface transmission science, thus fostering the exchange of ideas among scientists interested in different aspects of interface transmission. The book serves as an introduction to advanced graduate students, researchers, and scientists with little study on the subject, and is also useful to help keep specialists informed on general progress in the field. - Offers a unique approach on phononics from the interfacial transmission point-of-view - Teaches the modern physics of interface transmission, in particular, phononics through composite systems - Authored and edited by world-leading experts on interface transmission

Photonics

Photonics PDF Author: Léonard Dobrzyński
Publisher: Elsevier
ISBN: 0128193891
Category : Technology & Engineering
Languages : en
Pages : 710

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Book Description
Photonics, a volume in the Interface Transmission Tutorial Book series, describes the science of photonic transmission properties of the interfaces of composite materials systems and devices. The book's authors review the general analysis methods of interface transmission, give many examples, and apply these methods to photonic applications. Applications discussed include photonic crystals, materials, devices and circuits. - Offers a unique approach on photonics from the interfacial transmission point-of-view - Reviews the interface transmission properties of composite materials for photonics applications - Authored by world-leading experts on interface transmission

Frontiers in Optics and Photonics

Frontiers in Optics and Photonics PDF Author: Federico Capasso
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110710684
Category : Technology & Engineering
Languages : en
Pages : 783

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Book Description
This book provides a cutting-edge research overview on the latest developments in the field of Optics and Photonics. All chapters are authored by the pioneers in their field and will cover the developments in Quantum Photonics, Optical properties of 2D Materials, Optical Sensors, Organic Opto-electronics, Nanophotonics, Metamaterials, Plasmonics, Quantum Cascade lasers, LEDs, Biophotonics and biomedical photonics and spectroscopy.

Condensed-Phase Molecular Spectroscopy and Photophysics

Condensed-Phase Molecular Spectroscopy and Photophysics PDF Author: Anne Myers Kelley
Publisher: John Wiley & Sons
ISBN: 1119829283
Category : Science
Languages : en
Pages : 436

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Book Description
Condensed-Phase Molecular Spectroscopy and Photophysics An introduction to one of the fundamental tools in chemical research—spectroscopy and photophysics in condensed-phase and extended systems Condensed-Phase Molecular Spectroscopy and Photophysics comprehensively covers radiation-matter interactions for molecules in condensed phases along with metallic and semiconductor nanostructures, examining optical processes in extended systems such as metals, semiconductors, and conducting polymers and addressing the unique optical properties of nanoscale systems. The text differs from others through its emphasis on the molecule-environment interactions that strongly influence spectra in condensed phases, including spectroscopy and photophysics of molecular aggregates, molecular solids, and metals and semiconductors, as well as more modern topics such as two-dimensional and single-molecule spectroscopy. To aid in reader comprehension, the text includes case studies and illustrated examples. An online manual with solutions to the problems in the book is available to all readers on a companion website. Condensed-Phase Molecular Spectroscopy and Photophysics begins with an introduction to quantum mechanics that sets a solid foundation for understanding the text’s subsequent topics, including: Electromagnetic radiation and radiation-matter interactions, molecular vibrations and infrared spectroscopy, and electronic spectroscopy Photophysical processes and light scattering, nonlinear and pump-probe spectroscopies, and electron transfer processes Basic rotational spectroscopy and statistical mechanics, Raman scattering, 2D and single-molecule spectroscopies, and time-domain pictures of steady-state spectroscopies Time-independent quantum mechanics, statistical mechanics, group theory, radiation-matter interactions, and system-bath interactions Atomic spectroscopy, photophysical processes, light scattering, nonlinear and pump-probe spectroscopies, two-dimensional spectroscopies, and metals and plasmons Written for researchers and upper-level undergraduate and graduate courses in physical and materials chemistry, Condensed-Phase Molecular Spectroscopy and Photophysics is a valuable learning resource that is uniquely designed to equip readers to solve a broad array of current problems and challenges in the vast field of chemistry.

Sensors Based on Nanostructured Materials

Sensors Based on Nanostructured Materials PDF Author: Francisco J. Arregui
Publisher: Springer Science & Business Media
ISBN: 0387777539
Category : Technology & Engineering
Languages : en
Pages : 329

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Book Description
This book presents the many different techniques and methods of fabricating materials on the nanometer scale, and, specifically, the utilization of these resources with regard to sensors. The techniques described are studied from an application-oriented perspective, providing the reader with a perspective of the types of nanostructured sensors available that is broader than other books which concentrate on theoretical situations related to specific fabrication techniques.