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Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter, Alase Abhijeet


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Автор: Alase Abhijeet
Название:  Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter
ISBN: 9783030319595
Издательство: Springer
Классификация:


ISBN-10: 3030319598
Обложка/Формат: Hardcover
Страницы: 200
Вес: 0.49 кг.
Дата издания: 09.01.2020
Серия: Springer theses
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 22 tables, color; 19 illustrations, color; 4 illustrations, black and white; xvii, 200 p. 23 illus., 19 illus. in color.
Размер: 234 x 156 x 14
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This thesis extends our understanding of systems of independent electrons by developing a generalization of Bloch’s Theorem which is applicable whenever translational symmetry is broken solely due to arbitrary boundary conditions. The thesis begins with a historical overview of topological condensed matter physics, placing the work in context, before introducing the generalized form of Blochs Theorem. A cornerstone of electronic band structure and transport theory in crystalline matter, Blochs Theorem is generalized via a reformulation of the diagonalization problem in terms of corner-modified block-Toeplitz matrices and, physically, by allowing the crystal momentum to take complex values. This formulation provides exact expressions for all the energy eigenvalues and eigenstates of the single-particle Hamiltonian. By precisely capturing the interplay between bulk and boundary properties, this affords an exact analysis of several prototypical models relevant to symmetry-protected topological phases of matter, including a characterization of zero-energy localized boundary excitations in both topological insulators and superconductors. Notably, in combination with suitable matrix factorization techniques, the generalized Bloch Hamiltonian is also shown to provide a natural starting point for a unified derivation of bulk-boundary correspondence for all symmetry classes in one dimension.
Дополнительное описание: Chapter1: Introduction.- Chapter2: Generalization of Bloch's theorem to systems with boundary.- Chapter3: Investigation of topological boundary states via generalized Bloch theorem.- Chapter4: Matrix factorization approach to bulk-boundary correspondence.


Biofertilisers: Commercial Production Technology and Quality Control

Автор: Abhijeet Sawant
Название: Biofertilisers: Commercial Production Technology and Quality Control
ISBN: 1681170493 ISBN-13(EAN): 9781681170497
Издательство: Gazelle Book Services
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Цена: 244510.00 T
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Описание: Man made fertilizers have come to stay in the 20 century for increasing the output of agricultural production and to meet the ever increasing demand of human population, which has been further accentuated by the limited availability of additional fertile farm land. The pathway of productivity improvement followed so far has, however, been accompanied by an exponential increase in the consumption of nonrenewable form of energy. Manufacture of chemical fertilizers is heavily dependent on energy derived from fossil, which is getting depleted at a very fast rate. On the contrary, biofertilizers require much less energy and are dependent on energy from renewable sources such as products of photosynthesis and organic matter in the soil. The nutrients provided by biofertilizers to the agroecosystem do not pose any health risk to human which is being seriously apprehended by the use of chemical synthetic fertilizers. With almost twice the quantity of plant nutrients being removed from soil than added through fertilizers, the growing nutrient imbalance poses a major threat to sustain soil health and crop productivity. Huge investment will be needed to install factories to meet the growing demand of chemical fertilizers. The fertilizers so produced is not only high price but also the factories themselves have and adverse effect on the environment. Chemical fertilizers are not only costly but growing awareness of environment pollution and limitations of nonrenewable resource may introduce additional constraints. Since the ancient time, mankind has taken advantage of microorganism appreciating their beneficial role in living system. In the later half of last century, their role in agriculture has been recognized as biofertilizers.


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