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Aperiodic order . Volume 1 A mathematical invitation / / Michael Baake, Uwe Grimm [[electronic resource]]
Aperiodic order . Volume 1 A mathematical invitation / / Michael Baake, Uwe Grimm [[electronic resource]]
Autore Baake Michael
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2013
Descrizione fisica 1 online resource (xvi, 531 pages) : digital, PDF file(s)
Disciplina 548.7
Collana Encyclopedia of mathematics and its applications
Soggetto topico Aperiodic tilings
Quasicrystals - Mathematics
ISBN 1-316-18318-1
1-316-18367-X
1-316-18377-7
1-316-18448-X
1-316-18473-0
1-316-18403-X
1-139-02525-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Half-title; Series information; Title page; Copyright information; Table of contents; Foreword; Preface; Chapter 1 Introduction; Chapter 2 Preliminaries; 2.1. Point sets; 2.2. Voronoi and Delone cells; 2.3. Groups; 2.4. Perron-Frobenius theory; 2.5. Number-theoretic tools; Chapter 3 Lattices and Crystals; 3.1. Periodicity and lattices; 3.2. The crystallographic restriction; 3.3. Root lattices; 3.4. Minkowski embedding; Chapter 4 Symbolic Substitutions and Inflations; 4.1. Substitution rules; 4.2. Hulls and their properties; 4.3. Symmetries, invariant measures and ergodicity
4.4. Metallic means sequences4.5. Period doubling and paper folding; 4.6. Thue-Morse substitution; 4.7. Rudin-Shapiro and Kolakoski sequences; 4.8. Complexity and further directions; 4.9. Block substitutions; Chapter 5 Patterns and Tilings; 5.1. Patterns and local indistinguishability; 5.2. Local derivability; 5.3. Repetitivity and finite local complexity; 5.4. Geometric hull; 5.5. Proximality; 5.6. Symmetry and inflation; 5.7. Local rules; Chapter 6 Inflation Tilings; 6.1. Ammann-Beenker tilings; 6.2. Penrose tilings and their relatives; 6.3. Square triangle and shield tilings
6.4. Planar tilings with integer inflation multiplier6.5. Examples of non-Pisot tilings; 6.6. Pinwheel tilings; 6.7. Tilings in higher dimensions; 6.8. Colourful examples; Chapter 7 Projection Method and Model Sets; 7.1. Silver mean chain via projection; 7.2. Cut and project schemes and model sets; 7.3. Cyclotomic model sets; 7.4. Icosahedral model sets and beyond; 7.5. Alternative constructions; Chapter 8 Fourier Analysis and Measures; 8.1. Fourier series; 8.2. Almost periodic functions; 8.3. Fourier transform of functions; 8.4. Fourier transform of distributions
8.5. Measures and their decomposition8.6. Fourier transform of measures; 8.7. Fourier-Stieltjes coefficients of measures on S1; 8.8. Volume averaged convolutions; Chapter 9 Diffraction; 9.1. Mathematical diffraction theory; 9.2. Poisson's summation formula and perfect crystals; 9.3. Autocorrelation and diffraction of the silver mean chain; 9.4. Autocorrelation and diffraction of regular model sets; 9.5. Pure point diffraction of weighted Dirac combs; 9.6. Homometric point sets; Chapter 10 Beyond Model Sets; 10.1. Diffraction of the Thue-Morse chain
10.2. Diffraction of the Rudin-Shapiro chain10.3. Diffraction of lattice subsets; 10.4. Visible lattice points; 10.5. Extension to Meyer sets; Chapter 11 Random Structures; 11.1. Probabilistic preliminaries; 11.2. Bernoulli systems; 11.3. Renewal processes on the line; 11.4. Point processes from random matrix theory; 11.5. Lattice systems with interaction; 11.6. Random tilings; Appendix A The Icosahedral Group; Appendix B The Dynamical Spectrum; References; List of Definitions; List of Examples; List of Remarks; Index
Record Nr. UNINA-9910466882903321
Baake Michael  
Cambridge : , : Cambridge University Press, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Aperiodic order . Volume 1 A mathematical invitation / / Michael Baake, Uwe Grimm [[electronic resource]]
Aperiodic order . Volume 1 A mathematical invitation / / Michael Baake, Uwe Grimm [[electronic resource]]
Autore Baake Michael
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2013
Descrizione fisica 1 online resource (xvi, 531 pages) : digital, PDF file(s)
Disciplina 548.7
Collana Encyclopedia of mathematics and its applications
Soggetto topico Aperiodic tilings
Quasicrystals - Mathematics
ISBN 1-316-18318-1
1-316-18367-X
1-316-18377-7
1-316-18448-X
1-316-18473-0
1-316-18403-X
1-139-02525-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Half-title; Series information; Title page; Copyright information; Table of contents; Foreword; Preface; Chapter 1 Introduction; Chapter 2 Preliminaries; 2.1. Point sets; 2.2. Voronoi and Delone cells; 2.3. Groups; 2.4. Perron-Frobenius theory; 2.5. Number-theoretic tools; Chapter 3 Lattices and Crystals; 3.1. Periodicity and lattices; 3.2. The crystallographic restriction; 3.3. Root lattices; 3.4. Minkowski embedding; Chapter 4 Symbolic Substitutions and Inflations; 4.1. Substitution rules; 4.2. Hulls and their properties; 4.3. Symmetries, invariant measures and ergodicity
4.4. Metallic means sequences4.5. Period doubling and paper folding; 4.6. Thue-Morse substitution; 4.7. Rudin-Shapiro and Kolakoski sequences; 4.8. Complexity and further directions; 4.9. Block substitutions; Chapter 5 Patterns and Tilings; 5.1. Patterns and local indistinguishability; 5.2. Local derivability; 5.3. Repetitivity and finite local complexity; 5.4. Geometric hull; 5.5. Proximality; 5.6. Symmetry and inflation; 5.7. Local rules; Chapter 6 Inflation Tilings; 6.1. Ammann-Beenker tilings; 6.2. Penrose tilings and their relatives; 6.3. Square triangle and shield tilings
6.4. Planar tilings with integer inflation multiplier6.5. Examples of non-Pisot tilings; 6.6. Pinwheel tilings; 6.7. Tilings in higher dimensions; 6.8. Colourful examples; Chapter 7 Projection Method and Model Sets; 7.1. Silver mean chain via projection; 7.2. Cut and project schemes and model sets; 7.3. Cyclotomic model sets; 7.4. Icosahedral model sets and beyond; 7.5. Alternative constructions; Chapter 8 Fourier Analysis and Measures; 8.1. Fourier series; 8.2. Almost periodic functions; 8.3. Fourier transform of functions; 8.4. Fourier transform of distributions
8.5. Measures and their decomposition8.6. Fourier transform of measures; 8.7. Fourier-Stieltjes coefficients of measures on S1; 8.8. Volume averaged convolutions; Chapter 9 Diffraction; 9.1. Mathematical diffraction theory; 9.2. Poisson's summation formula and perfect crystals; 9.3. Autocorrelation and diffraction of the silver mean chain; 9.4. Autocorrelation and diffraction of regular model sets; 9.5. Pure point diffraction of weighted Dirac combs; 9.6. Homometric point sets; Chapter 10 Beyond Model Sets; 10.1. Diffraction of the Thue-Morse chain
10.2. Diffraction of the Rudin-Shapiro chain10.3. Diffraction of lattice subsets; 10.4. Visible lattice points; 10.5. Extension to Meyer sets; Chapter 11 Random Structures; 11.1. Probabilistic preliminaries; 11.2. Bernoulli systems; 11.3. Renewal processes on the line; 11.4. Point processes from random matrix theory; 11.5. Lattice systems with interaction; 11.6. Random tilings; Appendix A The Icosahedral Group; Appendix B The Dynamical Spectrum; References; List of Definitions; List of Examples; List of Remarks; Index
Record Nr. UNINA-9910795917503321
Baake Michael  
Cambridge : , : Cambridge University Press, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Aperiodic order . Volume 1 A mathematical invitation / / Michael Baake, Uwe Grimm [[electronic resource]]
Aperiodic order . Volume 1 A mathematical invitation / / Michael Baake, Uwe Grimm [[electronic resource]]
Autore Baake Michael
Edizione [1st ed.]
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 2013
Descrizione fisica 1 online resource (xvi, 531 pages) : digital, PDF file(s)
Disciplina 548.7
Collana Encyclopedia of mathematics and its applications
Soggetto topico Aperiodic tilings
Quasicrystals - Mathematics
ISBN 1-316-18318-1
1-316-18367-X
1-316-18377-7
1-316-18448-X
1-316-18473-0
1-316-18403-X
1-139-02525-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Half-title; Series information; Title page; Copyright information; Table of contents; Foreword; Preface; Chapter 1 Introduction; Chapter 2 Preliminaries; 2.1. Point sets; 2.2. Voronoi and Delone cells; 2.3. Groups; 2.4. Perron-Frobenius theory; 2.5. Number-theoretic tools; Chapter 3 Lattices and Crystals; 3.1. Periodicity and lattices; 3.2. The crystallographic restriction; 3.3. Root lattices; 3.4. Minkowski embedding; Chapter 4 Symbolic Substitutions and Inflations; 4.1. Substitution rules; 4.2. Hulls and their properties; 4.3. Symmetries, invariant measures and ergodicity
4.4. Metallic means sequences4.5. Period doubling and paper folding; 4.6. Thue-Morse substitution; 4.7. Rudin-Shapiro and Kolakoski sequences; 4.8. Complexity and further directions; 4.9. Block substitutions; Chapter 5 Patterns and Tilings; 5.1. Patterns and local indistinguishability; 5.2. Local derivability; 5.3. Repetitivity and finite local complexity; 5.4. Geometric hull; 5.5. Proximality; 5.6. Symmetry and inflation; 5.7. Local rules; Chapter 6 Inflation Tilings; 6.1. Ammann-Beenker tilings; 6.2. Penrose tilings and their relatives; 6.3. Square triangle and shield tilings
6.4. Planar tilings with integer inflation multiplier6.5. Examples of non-Pisot tilings; 6.6. Pinwheel tilings; 6.7. Tilings in higher dimensions; 6.8. Colourful examples; Chapter 7 Projection Method and Model Sets; 7.1. Silver mean chain via projection; 7.2. Cut and project schemes and model sets; 7.3. Cyclotomic model sets; 7.4. Icosahedral model sets and beyond; 7.5. Alternative constructions; Chapter 8 Fourier Analysis and Measures; 8.1. Fourier series; 8.2. Almost periodic functions; 8.3. Fourier transform of functions; 8.4. Fourier transform of distributions
8.5. Measures and their decomposition8.6. Fourier transform of measures; 8.7. Fourier-Stieltjes coefficients of measures on S1; 8.8. Volume averaged convolutions; Chapter 9 Diffraction; 9.1. Mathematical diffraction theory; 9.2. Poisson's summation formula and perfect crystals; 9.3. Autocorrelation and diffraction of the silver mean chain; 9.4. Autocorrelation and diffraction of regular model sets; 9.5. Pure point diffraction of weighted Dirac combs; 9.6. Homometric point sets; Chapter 10 Beyond Model Sets; 10.1. Diffraction of the Thue-Morse chain
10.2. Diffraction of the Rudin-Shapiro chain10.3. Diffraction of lattice subsets; 10.4. Visible lattice points; 10.5. Extension to Meyer sets; Chapter 11 Random Structures; 11.1. Probabilistic preliminaries; 11.2. Bernoulli systems; 11.3. Renewal processes on the line; 11.4. Point processes from random matrix theory; 11.5. Lattice systems with interaction; 11.6. Random tilings; Appendix A The Icosahedral Group; Appendix B The Dynamical Spectrum; References; List of Definitions; List of Examples; List of Remarks; Index
Record Nr. UNINA-9910828054403321
Baake Michael  
Cambridge : , : Cambridge University Press, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Mechanics and mathematics of crystals : selected papers of J. L. Ericksen / editors Millard F. Beatty, Michael A. Hayes
Mechanics and mathematics of crystals : selected papers of J. L. Ericksen / editors Millard F. Beatty, Michael A. Hayes
Autore Ericksen, Jerald L.
Pubbl/distr/stampa Hackensack, NJ. : World Scientific, c2005
Descrizione fisica xxxi, 621 p. ; 26 cm
Disciplina 548.7
Altri autori (Persone) Beatty, Millard F.
Hayes, M. A.
Soggetto (Persona) Ericksen, Jerald L.
Soggetto topico Crystallography, Mathematical
ISBN 9812562834
Classificazione AMS 01A75
AMS 82-03
AMS 82D-25
LC QD911.E75
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001510079707536
Ericksen, Jerald L.  
Hackensack, NJ. : World Scientific, c2005
Materiale a stampa
Lo trovi qui: Univ. del Salento
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N-dimensional crystallography / R. L. E. schwarzenberger
N-dimensional crystallography / R. L. E. schwarzenberger
Autore SCHWARZENBERGER, R. L. E.
Pubbl/distr/stampa Boston [etc.] : Pitman advanced publishing, copyr. 1980
Descrizione fisica 139 p. : ill. ; 24 cm
Disciplina 548.7
Collana Research notes in mathematics
Soggetto topico Cristallografia
ISBN 0-273-08468-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-990003246110203316
SCHWARZENBERGER, R. L. E.  
Boston [etc.] : Pitman advanced publishing, copyr. 1980
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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N-dimensional crystallography / R. L. E. Schwarzenberger
N-dimensional crystallography / R. L. E. Schwarzenberger
Autore Schwarzenberger, R. L. E.
Pubbl/distr/stampa San Francisco : Pitman Advanced Publ. Program, c1980
Descrizione fisica 139 p. : ill. ; 25 cm.
Disciplina 512.2
548.7
Collana Pitman research notes in mathematics series, ISSN 02693674 ; 41
Soggetto topico Crystallography
ISBN 0822484684
Classificazione AMS 20H15
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001163619707536
Schwarzenberger, R. L. E.  
San Francisco : Pitman Advanced Publ. Program, c1980
Materiale a stampa
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Numerical problems in crystallography / / M. A. Walsh
Numerical problems in crystallography / / M. A. Walsh
Autore Walsh M. A.
Edizione [1st ed. 2021.]
Pubbl/distr/stampa Singapore : , : Springer, , [2021]
Descrizione fisica 1 online resource (XV, 387 p. 176 illus., 10 illus. in color.)
Disciplina 548.7
Soggetto topico Crystallography, Mathematical
Crystallography
ISBN 981-15-9754-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910484189803321
Walsh M. A.  
Singapore : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Space Group Representations : Theory, Tables and Applications / / Nikolai B. Melnikov and Boris I. Reser
Space Group Representations : Theory, Tables and Applications / / Nikolai B. Melnikov and Boris I. Reser
Autore Melnikov Nikolai B.
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (343 pages)
Disciplina 548.7
Soggetto topico Space groups
ISBN 3-031-13991-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Contents -- Symbols -- 1 Scope and Overview -- References -- 2 Mathematical Preliminaries -- 2.1 Elements of Group Theory -- 2.1.1 Definition of Groups -- 2.1.2 Subgroups -- 2.1.3 Invariant Subgroup -- 2.1.4 Classes of Conjugate Elements -- 2.2 Matrices: Definitions and Notation -- 2.2.1 Special Types of Matrices -- 2.2.2 Equivalent Matrices -- 2.2.3 Reducible Matrices -- 2.2.4 Direct Matrix Product -- 2.3 Representation Theory -- 2.3.1 Matrix Groups -- 2.3.2 Group Representations -- 2.3.3 Regular Representation -- 2.3.4 Fundamental Theorems -- 2.3.5 Group Characters -- 2.3.6 Reality Properties -- 2.3.7 Direct Product of Representations -- References -- 3 Induced Representations -- 3.1 Regular Continuation from a Subgroup to a Group -- 3.2 Normalizer of a Representation of an Invariant Subgroup -- 3.3 Unitary Transformation for Elements of a Normalizer -- 3.4 Regular Continuation to the Normalizer -- 3.5 Projective Representations of the Factor Group of a Normalizer -- 3.6 Small Representations of a Normalizer -- 3.7 Special Case of an Abelian Invariant Subgroup -- 3.8 Main Theorem -- 3.9 Reality Properties of the Induced Representations -- 3.10 Algorithm for Constructing Irreducible Representations -- References -- 4 Projective Representations -- 4.1 The Factor System -- 4.2 Main Properties of Projective Representations -- 4.3 Regular Representation and Completeness Criterion -- 4.4 Group Generators -- 4.5 Character Factors -- 4.6 Covering Group and Its Representations -- 4.7 Irreducible Projective Representations -- 4.8 Outline of the Algorithm -- References -- 5 Representations of the Space Groups -- 5.1 Space Groups and Their Properties -- 5.2 Reciprocal Lattice and Brillouin Zone -- 5.3 Translation Symmetry and Its Consequences -- 5.4 Types of the k Vectors in the Brillouin Zone -- 5.5 Group of the Wavevector.
5.6 Small Representations of the Group of the Wavevector -- 5.7 Irreducible Representations of Space Groups -- 5.8 Compatibility Relations -- References -- 6 Tables -- 6.1 Summary of Theory and Guide to Tables -- 6.1.1 Summary of Theory -- 6.1.2 Guide to Tables -- 6.2 Elements and Multiplication Tables of the Groups Oh and D6h -- 6.3 Groups C2, Ci and Cs -- 6.4 Group C3 -- 6.5 Groups C4 and S4 -- 6.6 Groups D2, C2h and C2v -- 6.7 Groups C6, S6 and C3h -- 6.8 Groups D3 and C3v -- 6.9 Groups D4, C4v and D2d -- 6.10 Group C4h -- 6.11 Group D2h -- 6.12 Groups D6, D3d, C6v and D3h -- 6.13 Group T -- 6.14 Group C6h -- 6.15 Group D4h -- 6.16 Groups O and Td -- 6.17 Group D6h -- 6.18 Group Th -- 6.19 Group Oh -- 6.20 Example of the Use of the Tables: The Space Group Oh7 -- References -- 7 Group Theory and Quantum Mechanics -- 7.1 Representation Spaces -- 7.1.1 Basis Functions -- 7.1.2 Expansion Theorem -- 7.1.3 Reduction by Idempotent Operators -- 7.1.4 Orthogonality of the Basis Functions -- 7.1.5 Criterion for Representation Functions -- 7.2 Classification of States -- 7.2.1 Hamiltonian of a System with Symmetry -- 7.2.2 Eigenspaces and Representations -- 7.3 Splitting of Eigenvalues -- 7.3.1 Schrödinger Perturbation Theory -- 7.3.2 Effect of Symmetry -- 7.4 Selection Rules -- References -- 8 Group Theory and Solid-State Physics -- 8.1 Electron in a Periodic Field -- 8.1.1 Mathematical Formulation of the Problem -- 8.1.2 The Ritz Method -- 8.2 Symmetrized Coordinate Functions -- 8.2.1 Construction of Symmetrized Functions -- 8.2.2 Matrix Elements of the Hamiltonian -- 8.3 Double-Valued Representations -- 8.4 Time-Reversal Symmetry -- 8.4.1 Time-Reversal Operator -- 8.4.2 Systems with Time-Reversal Symmetry -- 8.4.3 Criterion of Extra Degeneracy -- References -- 9 Energy Band Calculation -- 9.1 Basics of Band Calculations -- 9.2 The OPW Method.
9.2.1 Main Formulas -- 9.2.2 Symmetrized OPW -- 9.2.3 Crystal Potential -- 9.2.4 Core Shifts -- 9.2.5 Generalized Eigenvalue Problem -- 9.3 Summary -- References -- 10 Energy Bands of Diamond -- 10.1 Crystal Structure -- 10.1.1 Symmetry of the Crystal -- 10.1.2 Reciprocal Lattice and Brillouin Zone -- 10.2 Energy Bands -- 10.2.1 Problems and Methods -- 10.2.2 Calculation Results -- 10.2.3 Comparison with Experiment -- 10.3 Summary -- References -- 11 Electronic States in Atoms and Solids -- 11.1 Correspondence Between Atomic and Crystal States -- 11.1.1 Background Material -- 11.1.2 Reducible Representation -- 11.1.3 Decomposition into Irreducible Components -- 11.2 An Example: The Pyrite Structure -- 11.2.1 Crystal Structure and Space Group Th6 -- 11.2.2 Atomic and Crystal States -- 11.3 Summary -- References -- 12 Group-Theoretical Analysis of the Cr3Si Structure -- 12.1 Crystal Structure -- 12.1.1 Geometric Description -- 12.1.2 Space Group Oh3 -- 12.1.3 Wigner-Seitz Cell -- 12.2 Small Representations of the Group of the Wavevector -- 12.2.1 Brillouin Zone -- 12.2.2 Structure of the Small Representations -- 12.2.3 Small Representations -- 12.3 Compatibility Relations -- 12.4 Time-Reversal Symmetry -- 12.4.1 Theory -- 12.4.2 Results -- 12.5 Correspondence Between Atomic and Crystal States -- 12.5.1 Method -- 12.5.2 Results -- 12.6 Concluding Remarks -- References -- 13 Symmetry in the Tight-Binding Method -- 13.1 General Method -- 13.1.1 Properties of Symmetry Operators -- 13.1.2 Problem Setup and Notation -- 13.1.3 Hermiticity of the Hamiltonian -- 13.1.4 Inversion Symmetry -- 13.1.5 Time-Reversal Symmetry -- 13.1.6 Relations Between the Matrix Components -- 13.1.7 Point Symmetry -- 13.1.8 Calculation of the Matrix Components -- 13.1.9 Determination of the Independent Parameters -- 13.1.10 Calculation Algorithm.
13.2 Application to the Diamond Structure -- References -- 14 Interpolation of Energy Bands -- 14.1 Quasidiagonal Form of the Hamiltonian Matrix -- 14.2 Tight-Binding Method and kp-Method -- 14.3 An Example: The Diamond Structure -- 14.4 Electron Density of States -- References -- 15 Quasi-2D Dichalcogenides with the 2H-TaSe2 Structure -- 15.1 Introduction -- 15.2 Crystal Structure of 2H-TaSe2 -- 15.3 Reciprocal Lattice and Brillouin Zone -- 15.4 Matrix Elements of the Hamiltonian -- 15.5 Hamiltonian Matrix at High Symmetry Points -- 15.6 Interim Conclusion -- References -- 16 Symmetrized Plane Waves -- 16.1 Projection Operator -- 16.2 Construction of Symmetrized Plane Waves -- References -- 17 Symmetrized Bloch Sums -- 17.1 Theory -- 17.1.1 Projection Matrix -- 17.1.2 Projection Matrix on Bloch Functions -- 17.1.3 Irreducible Representations of the Rotation Group -- 17.2 Algorithm -- 17.3 Summary -- References -- 18 Discussion and Outlook -- 18.1 Representation Theory of the Space Groups -- 18.2 Tables of the Space Group Representations -- 18.3 Applications of the Space Group Representations -- References -- Appendix A Frobenius-Schur Theorem and Its Applications -- A.1 Frobenius-Schur Theorem for Projective Representations -- A.2 Reality Criterion for Space Groups -- Appendix B Construction of Projective Representations of the Point Group T -- Appendix C More on Symmetry in Quantum Mechanics -- C.1 Discussion of Wigner's Theorem -- C.2 Projection Operator Corresponding to G and Gk -- Appendix D Factor System of Double-Valued Representations -- D.1 Composition of Two Rotations -- D.2 Euler-Rodrigues Parameters -- Appendix E Multiplication Table of the Point Group Oh -- Appendix F Projective Representations and Compatibility Relations for Oh7 -- Appendix G Factorization of the Characteristic Equation for Oh7 -- Index.
Record Nr. UNISA-996503462003316
Melnikov Nikolai B.  
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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Space Group Representations : Theory, Tables and Applications / / by Nikolai B. Melnikov, Boris I. Reser
Space Group Representations : Theory, Tables and Applications / / by Nikolai B. Melnikov, Boris I. Reser
Autore Melnikov Nikolai B.
Edizione [1st ed. 2022.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022
Descrizione fisica 1 online resource (343 pages)
Disciplina 548.7
Collana Physics and Astronomy Series
Soggetto topico Crystallography
Solid state physics
Mathematical physics
Materials science
Crystallography and Scattering Methods
Electronic Devices
Mathematical Physics
Materials Science
ISBN 3-031-13991-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Scope and Overview -- Mathematical Preliminaries -- Induced Representations -- Projective Representations -- Representations of the Space Groups -- Tables -- Group Theory and Quantum Mechanics.
Record Nr. UNINA-9910637723103321
Melnikov Nikolai B.  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Symmetry (group theory) and mathematical treatment in chemistry / / Takashiro Akitsu, editor
Symmetry (group theory) and mathematical treatment in chemistry / / Takashiro Akitsu, editor
Autore Takashiro Akitsu
Edizione [1st ed.]
Pubbl/distr/stampa IntechOpen, 2018
Descrizione fisica 1 online resource (186 pages) : illustrations
Disciplina 548.7
Soggetto topico Crystallography, Mathematical
Crystals - Mathematical models
Group theory
Soggetto non controllato Physical Sciences
Engineering and Technology
Chemistry
Inorganic Chemistry
ISBN 1-83881-324-1
1-78923-315-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Altri titoli varianti Symmetry
Record Nr. UNINA-9910317806503321
Takashiro Akitsu  
IntechOpen, 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui

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