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  • 1
    Online Resource
    Online Resource
    Amsterdam :Elsevier Science & Technology,
    Keywords: Geometry, Differential. ; Mechanics, Analytic. ; Electronic books.
    Description / Table of Contents: The differential geometric formulation of analytical mechanics not only offers a new insight into Mechanics, but also provides a more rigorous formulation of its physical content from a mathematical viewpoint. Topics covered in this volume include differential forms, the differential geometry of tangent and cotangent bundles, almost tangent geometry, symplectic and pre-symplectic Lagrangian and Hamiltonian formalisms, tensors and connections on manifolds, and geometrical aspects of variational and constraint theories. The book may be considered as a self-contained text and only presupposes that readers are acquainted with linear and multilinear algebra as well as advanced calculus.
    Type of Medium: Online Resource
    Pages: 1 online resource (495 pages)
    Edition: 1st ed.
    ISBN: 9780080872698
    Series Statement: Issn Series ; v.Volume 158
    DDC: 531
    Language: English
    Note: Front Cover -- Methods of Differential Geometry in Analytical Mechanics -- Copyright Page -- Contents -- Preface -- Chapter 1. Differential Geometry -- 1.1 Some main results in Calculus on Rn -- 1.2 Differentiable manifolds -- 1.3 Differentiable mappings. Rank Theorem -- 1.4 Partitions of unity -- 1.5 Immersions and submanifold -- 1.6 Submersions and quotient manifolds -- 1.7 Tangent spaces. Vector fields -- 1.8 Fibred manifolds. Vector bundles -- 1.9 Tangent and cotangent bundles -- 1.10 Tensor fields. The tensorial algebra. Riemannian metrics -- 1.11 Differential forms. The exterior algebra -- 1.12 Exterior differentiation -- 1.13 Interior product -- 1.14 The Lie derivative -- 1.15 Distributions. Frobenius theorem -- 1.16 Orientable manifolds. Integration. Stokes theorem -- 1.17 de Rham cohomology. Poincare lemma -- 1.18 Linear connections. Riemannian connections -- 1.19 Lie groups -- 1.20 Principal bundles. Frame bundles -- 1.21 G-structures -- 1.22 Exercises -- Chapter 2. Almost tangent structures and tangent bundles -- 2.1 Almost tangent structures on manifolds -- 2.2 Examples. The canonical almost tangent structure of the tangent bundle -- 2.3 Integrability -- 2.4 Almost tangent connections -- 2.5 Vertical and complete lifts of tensor fields to the tangent bundle -- 2.6 Complete lifts of linear connections to the tangent bundle -- 2.7 Horizontal lifts of tensor fields and connections -- 2.8 Sasaki metric on the tangent bundle -- 2.9 Affine bundles -- 2.10 Integrable almost tangent structures which define fibrations -- 2.11 Exercises -- Chapter 3. Structures on manifolds -- 3.1 Almost product structures -- 3.2 Almost complex manifolds -- 3.3 Almost complex connections -- 3.4 Kahler manifolds -- 3.5 Almost complex structures on tangent bundles (I) -- 3.6 Almost contact structures -- 3.7 f-structures -- 3.8 Exercises. , Chapter 4. Connections in tangent bundles -- 4.1 Differential calculus on TM -- 4.2 Homogeneous and semibasic forms -- 4.3 Semisprays. Sprays. Potentials -- 4.4 Connections in fibred manifolds -- 4.5 Connections in tangent bundles -- 4.6 Semisprays and connections -- 4.7 Weak and strong torsion -- 4.8 Decomposition theorem -- 4.9 Curvature -- 4.10 Almost complex structures on tangent bundles (II) -- 4.11 Connection in principal bundles -- 4.12 Exercises -- Chapter 5. Symplectic manifolds and cotangent bundles -- 5.1 Symplectic vector spaces -- 5.2 Symplectic manifolds -- 5.3 The canonical symplectic structure -- 5.4 Lifts of tensor fields to the cotangent bundle -- 5.5 Almost product and almost complex structures -- 5.6 Darboux Theorem -- 5.7 Almost cotangent structures -- 5.8 Integrable almost cotangent structures which define fibrations -- 5.9 Exercises -- Chapter 6. Hamiltonian systems -- 6.1 Hamiltonian vector fields -- 6.2 Poisson brackets -- 6.3 First integrals -- 6.4 Lagrangian submanifolds -- 6.5 Poisson manifolds -- 6.6 Generalized Liouville dynamics and Poisson brackets -- 6.7 Contact manifolds and non-autonomous Hamiltonian systems -- 6.8 Hamiltonian systems with constraints -- 6.9 Exercises -- Chapter 7. Lagrangian systems -- 7.1 Lagrangian systems and almost tangent geometry -- 7.2 Homogeneous Lagrangians -- 7.3 Connection and Lagrangian systems -- 7.4 Semisprays and Lagrangian systems -- 7.5 A geometrical version of the inverse problem -- 7.6 The Legendre transformation -- 7.7 Non-autonomous Lagrangians -- 7.8 Dynamical connections -- 7.9 Dynamical connections and non-autonomous Lagrangians -- 7.10 The variational approach -- 7.11 Special symplectic manifolds -- 7.12 Noether's theorem. Symmetries -- 7.13 Lagrangian and Hamiltonian mechanical systems with constraints -- 7.14 Euler-Lagrange equations on T*M + TM. , 7.15 More about semisprays -- 7.16 Generalized Caplygin systems -- 7.17 Exercises -- Chapter 8. Presymplectic mechanical systems -- 8.1 The first-order problem and the Hamiltonian formalism -- 8.2 The second-order problem and the Lagrangian formalism -- 8.3 Exercises -- Appendix A. A brief summary of particle mechanics in local coordinates -- A.1. Newtonian Mechanics -- A.2. Classical Mechanics: Lagrangian and Hamiltonian formalisms -- Appendix B. Higher order tangent bundles. Generalities -- B.1. Jets of mappings (in one independent variable) -- B.2. Higher order tangent bundles -- B.3. The canonical almost tangent structure of order k -- B.4. The higher-order Poincare-Cartan form -- Bibliography -- Index.
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  • 2
    Keywords: Cosmology ; Particles (Nuclear physics) ; Kosmologie ; Elementarteilchenphysik ; Kosmologie ; Elementarteilchenphysik ; Einführung ; Einführung ; Kosmologie ; Elementarteilchenphysik ; Makrokosmos ; Mikrokosmos
    Type of Medium: Book
    Pages: 237 S. , zahlr. Ill., graph. Darst. , 25 cm
    ISBN: 3893308121
    Series Statement: Spektrum-Bibliothek 26
    Uniform Title: From quarks to the cosmos 〈dt.〉
    RVK:
    Language: German
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  • 3
    Online Resource
    Online Resource
    Blue Ridge Summit :Globe Pequot Press, The,
    Keywords: SCIENCE / History.-bisacsh. ; Electronic books.
    Description / Table of Contents: Two leading physicists discuss the importance of the Higgs Boson, the future of particle physics, and the mysteries of the universe yet to be unraveled. Starting where Nobel Laureate Leon Lederman's bestseller The God Particle left off, this incisive new book explains what's next.
    Type of Medium: Online Resource
    Pages: 1 online resource (226 pages)
    Edition: 1st ed.
    ISBN: 9781616148027
    DDC: 539.72
    Language: English
    Note: Cover -- Title Page -- Copyright Page -- Dedication Page -- Contents -- Acknowledgments -- Chapter 1. Introduction -- Chapter 2. A Brief History of the Big Questions -- Chapter 3. Who Ordered That? -- Chapter 4. All About Mass -- Chapter 5. Mass under the Microscope -- Chapter 6. The Weak Interactions and the Higgs Boson -- Chapter 7. Microscopes to Particle Accelerators -- Chapter 8. The World's Most Powerful Particle Accelerators -- Chapter 9. Rare Processes -- Chapter 10. Neutrinos -- Chapter 11. Project X -- Chapter 12. Beyond the Higgs Boson -- Appendix -- Notes -- Index -- Back Cover.
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  • 4
    Keywords: Mechanics. ; Electronic books.
    Type of Medium: Online Resource
    Pages: 1 online resource (307 pages)
    Edition: 1st ed.
    ISBN: 9780080872230
    Series Statement: Issn Series ; v.Volume 112
    Language: English
    Note: Front Cover -- Generalized Classical Mechanics and Field Theory -- Copyright Page -- Table of Contents -- Foreword -- CHAPTER I. The Differential Geometry of Higher Order Jets and Tangent Bundles -- I.1. Introduction -- I.2. Jet Manifolds -- I.3. Exterior Differential Geometry of Higher Order Tangent Bundles -- I.4. Exercises -- CHAPTER II. Generalized Classical Mechanics -- II.1. Introduction -- II.2. Generalized Lagrangian Formalisms -- II.3. Generalized Hamiltonian Formalism -- II.4. Exercises -- CHAPTER III. Generalized Field Theory -- III.1. Introduction -- III.2. Traditional Method Formalism -- III.3. The Formalism on Jet Manifolds -- III.4. Further Considerations and Some Examples -- III .5 . Exercises -- APPENDIX A . Vector Bundles -- APPENDIX B . Constrained Systems -- References -- Subject Index.
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  • 5
    Online Resource
    Online Resource
    San Diego :Elsevier Science & Technology,
    Keywords: Particles (Nuclear physics). ; Electronic books.
    Type of Medium: Online Resource
    Pages: 1 online resource (281 pages)
    Edition: 1st ed.
    ISBN: 9780323157940
    Language: English
    Note: Front Cover -- Particle Physics: An Introduction -- Copyright Page -- Table of Contents -- Dedication -- Preface -- Introduction -- Bibliography -- Chapter 1. Relativity and Kinematics -- 1.1. Formalism of Special Relativity -- 1.2. Particle Kinematics -- Problems -- Bibliography -- Chapter 2. Relativistic Wave Equations -- 2.1. Spin Zero -- 2.2. Spin One-Half -- 2.3. Electromagnetic Field -- Problems -- Bibliography -- Chapter 3. Quantum Mechanics and Scattering -- 3.1. States and Operators in Quantum Mechanics -- 3.2. Equations of Motion -- 3.3. Scattering and Cross Sections. Method of Partial Waves -- 3.4. Scattering. The S-Matrix -- 3.5. On Finding S from H -- Problems -- Bibliography -- Chapter 4. Quantum Field Theory -- 4.1. Second Quantization -- 4.2. Interaction and Scattering -- Problems -- Bibliography -- Chapter 5. Quantum Electrodynamics -- 5.1. Lowest Order Terms -- 5.2. Higher Order Corrections -- Problems -- Bibliography -- Chapter 6. Pions -- 6.1. Time Reversal. Pion Spins -- 6.2. Space Inversion. Pion Parities -- 6.3. Charge Conjugation -- 6.4. CPT Theorem -- 6.5. Isospin -- 6.6. Pions and the Nucleon-Nucleon Force -- Problems -- Bibliography -- Chapter 7. Pion-Nucleon Scattering -- 7.1. Isospin Analysis -- 7.2. Angular Dependence -- 7.3. The (3, 3) Resonance -- 7.4. Results at Higher Energies -- Problems -- Bibliography -- Chapter 8. Pion Resonances -- 8.1. The ω Meson -- 8.2. The ρ Meson -- 8.3. The η Meson -- Problems -- Bibliography -- Chapter 9. Strange Particles -- 9.1. Strangeness -- 9.2. Some Properties of the Strange Particles -- 9.3. Strange Particle Resonances -- Problems -- Bibliography -- Chapter 10. SU(3) -- 10.1. SU(2) Group -- 10.2. SU(3) Group -- 10.3. The Eightfold Way -- 10.4. Quarks and Quark Models -- Problems -- Bibliography -- Chapter 11. Weak Interactions -- 11.1. Universal Fermi Interaction. , 11.2. V-A Theory -- 11.3. Muon Decay. Universal Weak Current -- 11.4. Conserved Vector Current Hypothesis -- 11.5. Strange Particle Decays -- 11.6. Neutrino Scattering -- 11.7. Neutral K Decay -- Problems -- Bibliography -- Chapter 12. Hadron Dynamics -- 12.1. Nucleon Form Factors -- 12.2. Dispersion Relations for Form Factors -- 12.3. Dispersion Relations for Scattering Amplitudes -- 12.4. Regge Poles -- Problems -- Bibliography -- Appendix: Tables of Particle Properties -- Subject Index.
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  • 6
    Online Resource
    Online Resource
    Blue Ridge Summit :Globe Pequot Press, The,
    Keywords: Symmetry-Popular works. ; Electronic books.
    Description / Table of Contents: When scientists peer through a telescope at the distant stars in outer space or use a particle-accelerator to analyze the smallest components of matter, they discover that the same laws of physics govern the whole universe at all times and all places. Physicists call the eternal, ubiquitous constancy of the laws of physics symmetry.Nobel Laureate Leon M. Lederman and physicist Christopher T. Hill explain the supremely elegant concept of symmetry and all its profound ramifications to life on Earth and the universe at large in this eloquent, accessible popular science book. They not only clearly describe concepts normally reserved for physicists and mathematicians, but they also instill an appreciation for the profound beauty of the universe's inherent design.Central to the story of symmetry is an obscure, unpretentious, but extremely gifted German mathematician named Emmy Noether. In some of her earliest work she proved that the law of the conservation of energy was connected to the idea of symmetry and thus laid the mathematical groundwork for what may be the most important concept of modern physics.Lederman and Hill reveal concepts about the universe, based on Noether's work, that are largely unknown to the public and have wide-reaching implications in connection with the Big Bang, Einstein's theory of relativity, quantum mechanics, and many other areas of physics. Through ingenious analogies and illustrations, they bring these astounding notions to life. This book will open your eyes to a universe you never knew existed.Leon M. Lederman, Nobel Laureate (Aurora, IL), is the Resident Scholar for the Great Minds Program of the Illinois Mathematics and Science Academy, Director Emeritus of the Fermi National Accelerator laboratory, the Pritzker Professor of Science at the Illinois Institute of Technology, the author of the highly acclaimed The God
    Type of Medium: Online Resource
    Pages: 1 online resource (378 pages)
    Edition: 1st ed.
    ISBN: 9781615920419
    DDC: 500
    Language: English
    Note: Intro -- Cover -- Title Page -- Copyright -- Dedication -- Praise for Symmetry and the Beautiful Universe -- Contents -- ACKNOWLEDGMENTS -- INTRODUCTION: WHAT IS SYMMETRY? -- Symmetry in Music -- Earth Is Round -- Symmetry in Mathematics and Physics -- A Tribute to Emmy Noether -- CHAPTER 1: CHILDREN OF THE TITANS -- The Evolution of the Universe and Its Metaphors -- The Titans -- Götterdämmerung: Twilight of the Titans -- Earth -- Oklo -- Stability of the Laws of Physics -- CHAPTER 2: TIME AND ENERGY -- It Can't Happen Here -- But What Is Energy? -- The Looming Energy Crisis -- CHAPTER 3: EMMY NOETHER -- Mathematics versus Physics -- The Life and Times of Emmy Noether -- Symmetry and Physics -- CHAPTER 4: SYMMETRY, SPACE, AND TIME -- Gedankenlab -- Spatial Translations -- Time Translations -- Rotations -- The Symmetry of Motion -- "Global" versus "Local" -- CHAPTER 5: NOETHER'S THEOREM -- Conservation Laws in Elementary Physics -- Conservation of Momentum -- Conservation of Energy -- Conservation of Angular Momentum -- CHAPTER 6: INERTIA -- A Brief History of Inertia, Symmetry, and Our Solar System -- Noticing Inertia -- The Union of Symmetry, Inertia, and the Laws of Physics -- Newton's Laws of Motion -- Acceleration -- Gravity -- CHAPTER 7: RELATIVITY -- The Speed of Light -- The Speed of Light as Seen by Moving Observers -- The Principle of Relativity -- The Overthrow of the Relativity of Galileo -- The Relativity of Einstein -- The Bizarre Effects of Special Relativity -- Energy and Momentum in Special Relativity -- General Relativity -- CHAPTER 8: REFLECTIONS -- Reflection Symmetry -- Parity Symmetry and the Laws of Physics -- The Overthrow of Parity Symmetry -- Time Reversal Symmetry -- Time Reversal Invariance and Antimatter -- Putting It All Together: CPT -- CHAPTER 9: BROKEN SYMMETRY -- A Pencil on Its Tip -- Magnets. , Spontaneous Symmetry Breaking throughout Nature -- Cosmic Inflation -- CHAPTER 10: QUANTUM MECHANICS -- Is Light a Particle or a Wave? -- Quantum Theory Becomes Ever More Curious -- The Uncertainty Principle -- The Wave Function -- A Bound State -- Spin and Orbital Angular Momentum in Quantum Theory -- The Symmetry of Identical Particles -- Exchange Symmetry, Stability of Matter and All of Chemistry -- Quantum Theory Meets Special Relativity: Antimatter -- CHAPTER 11: THE HIDDEN SYMMETRY OF LIGHT -- Hints of a Symmetry -- Local Gauge Invariance -- The Quantum Process of Radiation: QED -- Feynman Diagrams -- Toward Unifying All Forces in Nature -- CHAPTER 12: QUARKS AND LEPTONS -- Inside the Atom of the Mid-twentieth Century -- Quarks -- The Standard Model of Particles and Forces -- The Strong Force Is a Gauge Symmetry -- The Weak Force -- Enter the Higgs Field -- Beyond the Higgs Boson: Supersymmetry? -- Philosophical Comments -- AN EPILOGUE FOR EDUCATORS -- APPENDIX: SYMMETRY GROUPS -- The Mathematics of Symmetry -- A Simple Problem on Sherman's SAT -- Continuous Symmetry Groups -- NOTES -- INDEX -- BACK COVER.
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  • 7
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of medicinal chemistry 16 (1973), S. 457-460 
    ISSN: 1520-4804
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of medicinal chemistry 22 (1979), S. 1016-1018 
    ISSN: 1520-4804
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of medicinal chemistry 23 (1980), S. 39-42 
    ISSN: 1520-4804
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of medicinal chemistry 23 (1980), S. 795-798 
    ISSN: 1520-4804
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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