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  • 1
    Online Resource
    Online Resource
    Lie algebras in particle physics : from isospin to unified theories (2018)
    Boca Raton, Fl : CRC Press
    Details
    UID:
    gbv_173858089X
    Format: 1 Online-Ressource (xviii, 320 Seiten)
    Edition: Second edition
    ISBN: 9780429499210 , 9780429967764
    Series Statement: Frontiers in physics 54
    Content: chapter Why Group Theory? -- chapter 1 Finite Groups -- chapter 2 Lie Groups -- chapter 3 SU(2) -- chapter 4 Tensor Operators -- chapter 5 Isospin -- chapter 6 Roots and Weights -- chapter 7 SU(3) -- chapter 8 Simple Roots -- chapter 9 More SU(3) -- chapter 10 Tensor Methods -- chapter 11 Hypercharge and Strangeness -- chapter 12 Young Tableaux -- chapter 13 SU(N) -- chapter 14 3-D Harmonic Oscillator -- chapter 15 SU(6) and the Quark Model -- chapter 16 Color -- chapter 17 Constituent Quarks -- chapter 18 Unified Theories and SU(5) -- chapter 19 The Classical Groups -- chapter 20 The Classification Theorem -- chapter 21 SO(2n + 1) and Spinors -- chapter 22 SO(2n + 2) Spinors -- chapter 23 SU(n) ⊂ SO(2n) -- chapter 24 SO(10) -- chapter 25 Automorphisms -- chapter 26 Sp(2n) -- chapter 27 Odds and Ends.
    Note: First published 1999 by Westview Press
    Additional Edition: ISBN 9780738202334
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 0738202339
    Language: English
    Subjects: Physics , Mathematics
    RVK:
    UO 1000
    RVK:
    SK 340
    Keywords: Lie-Algebra ; Elementarteilchenphysik
    DOI: 10.1201/9780429499210
    URL: Volltext  (kostenfrei)
    URL: Volltext  (kostenfrei)
    URL: kostenfrei
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    Stabi Berlin
    MPI Bildungsforschung
  • 2
    Online Resource
    Online Resource
    Lie Algebras in Particle Physics : From Isospin to Unified Theories (2018)
    Boulder : Chapman and Hall/CRC
    Details
    UID:
    gbv_1024933598
    Format: 1 Online-Ressource (339 pages)
    Edition: 2nd ed
    ISBN: 9780429967764
    Series Statement: Frontiers in Physics v.Vol. 54
    Content: Cover -- Half Title -- Title -- Copyright -- Dedication -- Frontiers in Physics -- Preface to the Revised Edition -- Contents -- Why Group Theory? -- 1 Finite Groups -- 1.1 Groups and representations -- 1.2 Example - Z3 -- 1.3 The regular representation -- 1.4 Irreducible representations -- 1.5 Transformation groups -- 1.6 Application: parity in quantum mechanics -- 1.7 Example: S3 -- 1.8 Example: addition of integers -- 1.9 Useful theorems -- 1.10 Subgroups -- 1.11 Schur's lemma -- 1.12 *Orthogonality relations -- 1.13 Characters -- 1.14 Eigenstates -- 1.15 Tensor products -- 1.16 Example of tensor products -- 1.17 * Finding the normal modes -- 1.18 * Symmetries of 2n+ 1-gons -- 1.19 Permutation group on n objects -- 1.20 Conjugacy classes -- 1.21 Young tableaux -- 1.22 Example - our old friend S3 -- 1.23 Another example - S4 -- 1.24 *Young tableaux and representations of Sn -- 2 Lie Groups -- 2.1 Generators -- 2.2 Lie algebras -- 2.3 The Jacobi identity -- 2.4 The adjoint representation -- 2.5 Simple algebras and groups -- 2.6 States and operators -- 2.7 Fun with exponentials -- 3 SU(2) -- 3.1 J3 eigenstates -- 3.2 Raising and lowering operators -- 3.3 The standard notation -- 3.4 Tensor products -- 3.5 J3 values add -- 4 Tensor Operators -- 4.1 Orbital angular momentum -- 4.2 Using tensor operators -- 4.3 The Wigner-Eckart theorem -- 4.4 Example -- 4.5 *Making tensor operators -- 4.6 Products of operators -- 5 Isospin -- 5.1 Charge independence -- 5.2 Creation operators -- 5.3 Number operators -- 5.4 Isospin generators -- 5.5 Symmetry of tensor products -- 5.6 The deuteron -- 5.7 Superselection rules -- 5.8 Other particles -- 5.9 Approximate isospin symmetry -- 5.10 Perturbation theory -- 6 Roots and Weights -- 6.1 Weights -- 6.2 More on the adjoint representation -- 6.3 Roots -- 6.4 Raising and lowering -- 6.5 Lots of SU(2)s
    Content: 6.6 Watch carefully - this is important! -- 7 SU(3) -- 7.1 The Gell-Mann matrices -- 7.2 Weights and roots of SU(3) -- 8 Simple Roots -- 8.1 Positive weights -- 8.2 Simple roots -- 8.3 Constructing the algebra -- 8.4 Dynkin diagrams -- 8.5 Example: G2 -- 8.6 The roots of G2 -- 8.7 The Cartan matrix -- 8.8 Finding all the roots -- 8.9 The SU(2)s -- 8.10 Constructing the G2 algebra -- 8.11 Another example: the algebra C3 -- 8.12 Fundamental weights -- 8.13 The trace of a generator -- 9 More SU(3) -- 9.1 Fundamental representations of SU( 3) -- 9.2 Constructing the states -- 9.3 The Weyl group -- 9.4 Complex conjugation -- 9.5 Examples of other representations -- 10 Tensor Methods -- 10.1 lower and upper indices -- 10.2 Tensor components and wave functions -- 10.3 Irreducible representations and symmetry -- 10.4 Invariant tensors -- 10.5 Clebsch-Gordan decomposition -- 10.6 Triality -- 10.7 Matrix elements and operators -- 10.8 Normalization -- 10.9 Tensor operators -- 10.10 The dimension of (n, m) -- 10.11 *The weights of (n,m) -- 10.12 Generalization of Wigner-Eckart -- 10.13 *Tensors for SU(2) -- 10.14 *Clebsch-Gordan coefficients from tensors -- 10.15 *Spin s1 + s2 - 1 -- 10.16 *Spin s1 + s2 - k -- 11 Hypercharge and Strangeness -- 11.1 The eight-fold way -- 11.2 The Gell-Mann Okubo formula -- 11.3 Hadron resonances -- 11.4 Quarks -- 12 Young Tableaux -- 12.1 Raising the indices -- 12.2 Clebsch-Gordan decomposition -- 12.3 SU(3) → SU(2) × U(l) -- 13 SU(N) -- 13.1 Generalized Gell-Mann matrices -- 13.2 SU(N) tensors -- 13.3 Dimensions -- 13.4 Complex representations -- 13.5 SU(N) ⊗ SU(M) Є SU(N + M) -- 14 3-D Harmonic Oscillator -- 14.1 Raising and lowering operators -- 14.2 Angular momentum -- 14.3 A more complicated example -- 15 SU(6) and the Quark Model -- 15.1 Including the spin -- 15.2 SU(N) ⊗ SU(M) Є SU(N M) -- 15.3 The baryon states
    Content: 15.4 Magnetic moments -- 16 Color -- 16.1 Colored quarks -- 16.2 Quantum Chromodynamics -- 16.3 Heavy quarks -- 16.4 Flavor SU(4) is useless! -- 17 Constituent Quarks -- 17.1 The nonrelativistic limit -- 18 Unified Theories and SU(5) -- 18.1 Grand unification -- 18.2 Parity violation, helicity and handedness -- 18.3 Spontaneously broken symmetry -- 18.4 Physics of spontaneous symmetry breaking -- 18.5 Is the Higgs real? -- 18.6 Unification and SU(5) -- 18.7 Breaking SU(5) -- 18.8 Proton decay -- 19 The Classical Groups -- 19.1 The SO(2n) algebras -- 19.2 The SO(2n + 1) algebras -- 19.3 The Sp(2n) algebras -- 19.4 Quaternions -- 20 The Classification Theorem -- 20.1 ∏-systems -- 20.2 Regular subalgebras -- 20.3 Other Subalgebras -- 21 SO(2n + 1) and Spinors -- 21.1 Fundamental weight of SO(2n + 1) -- 21.2 Real and pseudo-real -- 21.3 Real representations -- 21.4 Pseudo-real representations -- 21.5 R is an invariant tensor -- 21.6 The explicit form for R -- 22 SO(2n + 2) Spinors -- 22.1 Fundamental weights of SO(2n + 2) -- 23 SU(n) ⊂ SO(2n) -- 23.1 Clifford algebras -- 23.2 Γm and R as invariant tensors -- 23.3 Products of Γs -- 23.4 Self-duality -- 23.5 Example: SO(10) -- 23.6 The SU(n) subalgebra -- 24 SO(10) -- 24.1 SO(10) and SU(4) × SU(2) × SU(2) -- 24.2 *Spontaneous breaking of SO(10) -- 24.3 *Breaking SO(10) → SU(5) -- 24.4 *Breaking SO(10) → SU(3) × SU(2) × U(l) -- 24.5 *Breaking SO(10) → SU(3) × U(l) -- 24.6 *Lepton number as a fourth color -- 25 Automorphisms -- 25.1 Outer automorphisms -- 25.2 Fun with SO(8) -- 26 Sp(2n) -- 26.1 Weights of SU( n) -- 26.2 Tensors for Sp(2n) -- 27 Odds and Ends -- 27.1 Exceptional algebras and octonians -- 27.2 E6 unification -- 27.3 Breaking E6 -- 27.4 SU(3) × SU(3) × SU(3) unification -- 27.5 Anomalies -- Epilogue -- Index
    Additional Edition: ISBN 9780738202334
    Additional Edition: Erscheint auch als Druck-Ausgabe Georgi, Howard Lie Algebras in Particle Physics : From Isospin to Unified Theories Boulder : Chapman and Hall/CRC,c2018 ISBN 9780738202334
    Language: English
    URL: Volltext  (lizenzpflichtig)
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    UB Potsdam
    HPol Brandenburg
  • 3
    Book
    Book
    Lie algebras in particle physics : [from isospin to unified theories] (1999)
    Reading, Mass. : Perseus Books | Boulder, Colo. [u.a.] : Westview Press
    Details
    UID:
    gbv_318408228
    Format: XVIII, 320 S. , graph. Darst. , 24 cm
    Edition: 2. ed.
    ISBN: 9780738202334 , 0738202339
    Series Statement: Frontiers in physics 54
    Note: 2. Verlagsangabe und Untertitel bei unveränd. Nachdr
    Additional Edition: Erscheint auch als Online-Ausgabe Georgi, Howard, 1947 - Lie algebras in particle physics Boulder, Colo. [u.a.] : Westview Press, 1999 ISBN 9780813346113
    Language: English
    Subjects: Physics , Mathematics
    RVK:
    SK 340
    RVK:
    UO 1000
    Keywords: Lie-Algebra ; Elementarteilchenphysik
    URL: Inhaltsverzeichnis
    URL: http://www.loc.gov/catdir/enhancements/fy0831/99064878-d.html
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  • 4
    Book
    Book
    Lie algebras in particle physics : [from isospin to unified theories] (1999)
    Reading, Mass. [u.a.] :Westview Press,
    Details
    UID:
    almahu_BV013637336
    Format: XVIII, 320 Seiten : , Illustrationen.
    Edition: second edition
    ISBN: 978-0-7382-0233-4 , 0-7382-0233-9
    Series Statement: Frontiers in physics 54
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-0-4294-9921-0 10.1201/9780429499210
    Language: English
    Subjects: Physics
    RVK:
    UO 1000
    RVK:
    UO 1500
    Keywords: Lie-Algebra ; Elementarteilchenphysik ; Lie-Algebra ; Elementarteilchen
    URL: Volltext  (kostenfrei)
    URL: Volltext  (kostenfrei)
    URL: Inhaltsverzeichnis
    URL: Volltext  (kostenfrei)
    URL: Volltext  (kostenfrei)
    URL: Inhaltsverzeichnis
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  • 5
    Online Resource
    Online Resource
    Lie Algebras In Particle Physics : from Isospin To Unified Theories (2000)
    [Erscheinungsort nicht ermittelbar] : Taylor & Francis
    Details
    UID:
    gbv_1794594035
    Format: 1 Online-Ressource (340 p.)
    ISBN: 9780429499210 , 9780429967764 , 9780367091729 , 9780429499210 , 9780738202334
    Content: In this book, the author convinces that Sir Arthur Stanley Eddington had things a little bit wrong, as least as far as physics is concerned. He explores the theory of groups and Lie algebras and their representations to use group representations as labor-saving tools
    Note: English
    Language: English
    URL: kostenfrei
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    Stabi Berlin
    UB Potsdam
  • 6
    Online Resource
    Online Resource
    Lie algebras in particle physics / (2018)
    Boca Raton, Florida ; : CRC Press,
    Details
    UID:
    almahu_9949602118002882
    Format: 1 online resource (xviii, 320 pages) : , illustrations
    Edition: Second edition.
    ISBN: 9780429967764 (e-book)
    Note: "The Advanced Book Program."
    Additional Edition: Print version: Georgi, Howard. Lie algebras in particle physics. Boca Raton, Florida ; London ; New York : CRC Press, 2018, c1999 ISBN 9780738202334
    Language: English
    Keywords: Electronic books.
    URL: Click to View
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    HU Berlin
  • 7
    Online Resource
    Online Resource
    Lie Algebras In Particle Physics : from Isospin To Unified Theories (2000)
    Taylor & Francis | Boca Raton, FL :CRC Press,
    Details
    UID:
    almahu_9949182580602882
    Format: 1 online resource (339 p.)
    Edition: Second edition.
    ISBN: 0-429-97884-7 , 0-429-96776-4 , 0-429-49921-3 , 1-283-26146-4 , 9786613261465 , 0-8133-4611-8
    Series Statement: Frontiers in Physics
    Content: "Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate students, while offering a perspective on the way in which knowledge of such groups can provide an insight into the development of unified theories of strong, weak, and electromagnetic interactions."--Provided by publisher.
    Note: "The Advanced Book Program." , Frontiers in Physics; Preface to the Revised Edition; Contents; Why Group Theory?; 1 Finite Groups; 2 Lie Groups; 3 SU(2); 4 Tensor Operators; 5 Isospin; 6 Roots and Weights; 7 SU(3); 8 Simple Roots; 9 More SU(3); 10 Tensor Methods; 11 Hypercharge and Strangeness; 12 Young Tableaux; 13 SU(N); 14 3-D Harmonic Oscillator; 15 SU(6) and the Quark Model; 16 Color; 17 Constituent Quarks; 18 Unified Theories and SU(5); 19 The Classical Groups; 20 The Classification Theorem; 21 SO(2n + 1) and Spinors; 22 SO(2n + 2) Spinors; 23 SU(n) in SO(2n); 24 SO(10); 25 Automorphisms; 26 Sp(2n); 27 Odds and Ends , EpilogueIndex , English
    Additional Edition: ISBN 0-367-09172-0
    Additional Edition: ISBN 0-7382-0233-9
    Language: English
    DOI: 10.1201/9780429499210
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    HU Berlin
  • 8
    Online Resource
    Online Resource
    Lie Algebras In Particle Physics : from Isospin To Unified Theories (2000)
    Taylor & Francis | Boca Raton, FL :CRC Press,
    Details
    UID:
    edoccha_9960005039002883
    Format: 1 online resource (339 p.)
    Edition: Second edition.
    ISBN: 0-429-97884-7 , 0-429-96776-4 , 0-429-49921-3 , 1-283-26146-4 , 9786613261465 , 0-8133-4611-8
    Series Statement: Frontiers in Physics
    Content: "Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate students, while offering a perspective on the way in which knowledge of such groups can provide an insight into the development of unified theories of strong, weak, and electromagnetic interactions."--Provided by publisher.
    Note: "The Advanced Book Program." , Frontiers in Physics; Preface to the Revised Edition; Contents; Why Group Theory?; 1 Finite Groups; 2 Lie Groups; 3 SU(2); 4 Tensor Operators; 5 Isospin; 6 Roots and Weights; 7 SU(3); 8 Simple Roots; 9 More SU(3); 10 Tensor Methods; 11 Hypercharge and Strangeness; 12 Young Tableaux; 13 SU(N); 14 3-D Harmonic Oscillator; 15 SU(6) and the Quark Model; 16 Color; 17 Constituent Quarks; 18 Unified Theories and SU(5); 19 The Classical Groups; 20 The Classification Theorem; 21 SO(2n + 1) and Spinors; 22 SO(2n + 2) Spinors; 23 SU(n) in SO(2n); 24 SO(10); 25 Automorphisms; 26 Sp(2n); 27 Odds and Ends , EpilogueIndex , English
    Additional Edition: ISBN 0-367-09172-0
    Additional Edition: ISBN 0-7382-0233-9
    Language: English
    DOI: 10.1201/9780429499210
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    Charité
  • 9
    Online Resource
    Online Resource
    Lie Algebras In Particle Physics : from Isospin To Unified Theories (2000)
    Taylor & Francis | Boca Raton, FL :CRC Press,
    Details
    UID:
    edocfu_9960005039002883
    Format: 1 online resource (339 p.)
    Edition: Second edition.
    ISBN: 0-429-97884-7 , 0-429-96776-4 , 0-429-49921-3 , 1-283-26146-4 , 9786613261465 , 0-8133-4611-8
    Series Statement: Frontiers in Physics
    Content: "Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate students, while offering a perspective on the way in which knowledge of such groups can provide an insight into the development of unified theories of strong, weak, and electromagnetic interactions."--Provided by publisher.
    Note: "The Advanced Book Program." , Frontiers in Physics; Preface to the Revised Edition; Contents; Why Group Theory?; 1 Finite Groups; 2 Lie Groups; 3 SU(2); 4 Tensor Operators; 5 Isospin; 6 Roots and Weights; 7 SU(3); 8 Simple Roots; 9 More SU(3); 10 Tensor Methods; 11 Hypercharge and Strangeness; 12 Young Tableaux; 13 SU(N); 14 3-D Harmonic Oscillator; 15 SU(6) and the Quark Model; 16 Color; 17 Constituent Quarks; 18 Unified Theories and SU(5); 19 The Classical Groups; 20 The Classification Theorem; 21 SO(2n + 1) and Spinors; 22 SO(2n + 2) Spinors; 23 SU(n) in SO(2n); 24 SO(10); 25 Automorphisms; 26 Sp(2n); 27 Odds and Ends , EpilogueIndex , English
    Additional Edition: ISBN 0-367-09172-0
    Additional Edition: ISBN 0-7382-0233-9
    Language: English
    DOI: 10.1201/9780429499210
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Open Access Request
    FU Berlin
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