On The Construction Of Irreducible Representations Of Space Groups
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On The Construction Of Irreducible Representations Of Space Groups
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Author : Jan Mozrzymas
language : en
Publisher:
Release Date : 1974
On The Construction Of Irreducible Representations Of Space Groups written by Jan Mozrzymas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Space Group Representations
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Author : Nikolai B. Melnikov
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Space Group Representations written by Nikolai B. Melnikov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Science categories.
This book is devoted to the construction of space group representations, their tabulation, and illustration of their use. Representation theory of space groups has a wide range of applications in modern physics and chemistry, including studies of electron and phonon spectra, structural and magnetic phase transitions, spectroscopy, neutron scattering, and superconductivity. The book presents a clear and practical method of deducing the matrices of all irreducible representations, including double-valued, and tabulates the matrices of irreducible projective representations for all 32 crystallographic point groups. One obtains the irreducible representations of all 230 space groups by multiplying the matrices presented in these compact and convenient to use tables by easily computed factors. A number of applications to the electronic band structure calculations are illustrated through real-life examples of different crystal structures. The book's content is accessible to both graduate and advanced undergraduate students with elementary knowledge of group theory and is useful to a wide range of experimentalists and theorists in materials and solid-state physics.
Irreducible Representations Of The Space Groups
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Author : Oleg Vladimirovich Kovalev
language : en
Publisher: Routledge
Release Date : 1965
Irreducible Representations Of The Space Groups written by Oleg Vladimirovich Kovalev and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Mathematics categories.
General Introduction And Tables Of Irreducible Representations Of Space Groups
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Author : Arthur P. Cracknell
language : en
Publisher:
Release Date : 1979
General Introduction And Tables Of Irreducible Representations Of Space Groups written by Arthur P. Cracknell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
The Irreducible Representations Of Space Groups
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Author : Joshua Zak
language : en
Publisher: Addison Wesley Longman
Release Date : 1969
The Irreducible Representations Of Space Groups written by Joshua Zak and has been published by Addison Wesley Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
Tables Of Irreducible Representations Of Space Groups And Co Representations Of Magnetic Space Groups
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Author : Stanley C. Miller
language : en
Publisher:
Release Date : 1967
Tables Of Irreducible Representations Of Space Groups And Co Representations Of Magnetic Space Groups written by Stanley C. Miller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Crystal lattices categories.
"This volume contains a computer calculation of tables of the irreducible representations of 230 space groups of all prominent symmetry points in the associated Brillouin zones. The characters of the elements of the group of k are included as well as compatibility tables for related symmetry points. A second section gives the irreducible co-representations of the remaining 1421 magnetic space groups and the classification into the degeneracy types discussed by Wigner. A brief introduction to the theory of space groups will be given before the detailed description of the tables is presented. A general knowledge of group theory is assumed."--Intro. Published 1967.
Applications Of Finite Groups
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Author : J. S. Lomont
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Applications Of Finite Groups written by J. S. Lomont and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
Applications of Finite Groups focuses on the applications of finite groups to problems of physics, including representation theory, crystals, wave equations, and nuclear and molecular structures. The book first elaborates on matrices, groups, and representations. Topics include abstract properties, applications, matrix groups, key theorem of representation theory, properties of character tables, simply reducible groups, tensors and invariants, and representations generated by functions. The text then examines applications and subgroups and representations, as well as subduced and induced representations, fermion annihilation and creation operators, crystallographic point groups, proportionality tensors in crystals, and nonrelativistic wave equations. The publication takes a look at space group representations and energy bands, symmetric groups, and applications. Topics include molecular and nuclear structures, multiplet splitting in crystalline electric fields, construction of irreducible representations of the symmetric groups, and reality of representations. The manuscript is a dependable source of data for physicists and researchers interested in the applications of finite groups.
Tables Of Irreducible Representations Of Space Groups 1967
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Author : S. C. Miller
language : en
Publisher:
Release Date :
Tables Of Irreducible Representations Of Space Groups 1967 written by S. C. Miller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Irreducible Representations Of The Space Groups Tr
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Author : Oleg Vladimirovich Kovalev
language : en
Publisher:
Release Date :
Irreducible Representations Of The Space Groups Tr written by Oleg Vladimirovich Kovalev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Crystallography, Mathematical categories.
Representations Of Finite And Lie Groups
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Author : Thomas Charles B
language : en
Publisher: World Scientific
Release Date : 2004-10-08
Representations Of Finite And Lie Groups written by Thomas Charles B and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-08 with Mathematics categories.
This book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for compact topological groups with an invariant integral replacing the sum over the group elements as an averaging tool. Among the topics covered are the relation between representations and characters, the construction of irreducible representations, induced representations and Frobenius reciprocity. Special emphasis is given to exterior powers, with the symmetric group Sn as an illustrative example. The book concludes with a chapter comparing the representations of the finite group SL2(p) and the non-compact Lie group SL2(P)./a