Ebook: Symmetries in Science
- Tags: Theoretical Mathematical and Computational Physics
- Year: 1980
- Publisher: Springer US
- Edition: 1
- Language: English
- pdf
Southern Illinois University at Carbondale undertook to honor Albert Einstein as scientist and as humanitarian in commemo ration of his lOOth birthday during an "Albert Einstein Centennial Week", February 23 - March 2, 1979. During the course of this week two Symposia were held, entitled "Symmetries in Science" and "Einstein: Humanities Conscience", in addition to cultural and social activities honoring Einstein. This volume presents the Symposium "Symmetries in Science". It reflects the outstanding response that was given to our "Albert Einstein Centennial Week" by the international community of scientists. The motivation to have a celebration honoring Albert Einstein at Southern Illinois University at Carbondale was supplied by Dr. Paul A. Schilpp, the editor of the "Library of Living Philo sophers". Albert Einstein has contributed to this series with his autobiographical notes, a kind of autobiography of his scientific life, in a volume entitled "Einstein: Scientist-Philosopher", the most popular among all the outstanding volumes of this series. Dr. Paul A. Schilpp's presence at Southern Illinois University at Carbondale provided a natural link for an Einstein Celebration as a kind of a continuation of the contribution he made to mankind through the Einstein volume of his "Library of Living Philosophers".
Content:
Front Matter....Pages i-ix
Why We Believe in the Einstein Theory....Pages 1-11
The Role and Value of the Symmetry Principles and Einstein’s Contribution to their Recognition....Pages 13-21
Statistical Concepts in Einstein’s Physics....Pages 23-38
What are the True Building Blocks of Matter....Pages 39-54
Classification of Wigner Operators by a New Type of Weight Space Diagram....Pages 55-72
De Sitter Fibers and SO(3,2) Spectrum Generating Group for Hadrons....Pages 73-87
The Wigner-Racah Algebra for Finite and Compact Continuous Groups....Pages 89-104
Applications of Coherent States in Thermodynamics and Dynamics....Pages 105-131
The Application of Imbedding Theory to the Atomic Shell Model....Pages 133-149
Group Theory in Atomic and Molecular Physics....Pages 151-160
New Approach to Matrix Elements and Clebsch-Gordan Coefficients for Compact and Non-Compact Groups....Pages 161-176
Group Theory and the Interaction of Composite Nucleon Systems....Pages 177-188
Time Reversal in Dissipative Systems....Pages 189-215
Lie Groups, Quantum Mechanics, Many-Body Theory and Organic Chemistry....Pages 217-232
Symmetry and Variable Separation for the Helmholtz, Wave and Hamilton-Jacobi Equations....Pages 233-245
Review of the Group Theory Behind the Interacting Boson Model of the Nucleus....Pages 247-264
Remarks on the Algebraic Structure of Spontaneous Symmetry Breaking in Unified Gauge Theories....Pages 265-278
Symmetry Breaking and Far-from-Equilibrium Order....Pages 279-295
Finite Subgroups of the Lorentz Group and their Generating Functions....Pages 297-308
On Dynamical Symmetries in Relativistic Field Theories....Pages 309-321
On the Generalisation of the Gell-Mann-Nishijima Relation....Pages 323-325
Relativistic Dynamical Groups in Quantum Theory and Some Possible Applications....Pages 327-336
Generalized Coherent States....Pages 337-364
Spontaneous Symmetry Breaking in Bifurcation Problems....Pages 365-383
Time, Energy, Relativity, and Cosmology....Pages 385-396
Projections Operators for Semisimple Compact Lie Groups and their Applications....Pages 397-410
Orders in Nature: From Quantum to Classical....Pages 411-434
Systematic Methods for Determining the Continuous Transformation Groups Admitted by Differential Equations....Pages 435-457
Symmetry Breaking in Embryology and in Neurobiology....Pages 459-474
On Global Properties of Quantum Systems....Pages 475-486
Back Matter....Pages 487-495
Content:
Front Matter....Pages i-ix
Why We Believe in the Einstein Theory....Pages 1-11
The Role and Value of the Symmetry Principles and Einstein’s Contribution to their Recognition....Pages 13-21
Statistical Concepts in Einstein’s Physics....Pages 23-38
What are the True Building Blocks of Matter....Pages 39-54
Classification of Wigner Operators by a New Type of Weight Space Diagram....Pages 55-72
De Sitter Fibers and SO(3,2) Spectrum Generating Group for Hadrons....Pages 73-87
The Wigner-Racah Algebra for Finite and Compact Continuous Groups....Pages 89-104
Applications of Coherent States in Thermodynamics and Dynamics....Pages 105-131
The Application of Imbedding Theory to the Atomic Shell Model....Pages 133-149
Group Theory in Atomic and Molecular Physics....Pages 151-160
New Approach to Matrix Elements and Clebsch-Gordan Coefficients for Compact and Non-Compact Groups....Pages 161-176
Group Theory and the Interaction of Composite Nucleon Systems....Pages 177-188
Time Reversal in Dissipative Systems....Pages 189-215
Lie Groups, Quantum Mechanics, Many-Body Theory and Organic Chemistry....Pages 217-232
Symmetry and Variable Separation for the Helmholtz, Wave and Hamilton-Jacobi Equations....Pages 233-245
Review of the Group Theory Behind the Interacting Boson Model of the Nucleus....Pages 247-264
Remarks on the Algebraic Structure of Spontaneous Symmetry Breaking in Unified Gauge Theories....Pages 265-278
Symmetry Breaking and Far-from-Equilibrium Order....Pages 279-295
Finite Subgroups of the Lorentz Group and their Generating Functions....Pages 297-308
On Dynamical Symmetries in Relativistic Field Theories....Pages 309-321
On the Generalisation of the Gell-Mann-Nishijima Relation....Pages 323-325
Relativistic Dynamical Groups in Quantum Theory and Some Possible Applications....Pages 327-336
Generalized Coherent States....Pages 337-364
Spontaneous Symmetry Breaking in Bifurcation Problems....Pages 365-383
Time, Energy, Relativity, and Cosmology....Pages 385-396
Projections Operators for Semisimple Compact Lie Groups and their Applications....Pages 397-410
Orders in Nature: From Quantum to Classical....Pages 411-434
Systematic Methods for Determining the Continuous Transformation Groups Admitted by Differential Equations....Pages 435-457
Symmetry Breaking in Embryology and in Neurobiology....Pages 459-474
On Global Properties of Quantum Systems....Pages 475-486
Back Matter....Pages 487-495
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