Ebook: Symmetries in Science III

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Content:
Front Matter....Pages i-x
Front Matter....Pages 1-1
Fundamental Symmetries and Quantum Electrodynamics....Pages 3-13
Recent Progress in Implementing the Tensor Operator Calculus *,**....Pages 15-32
On a Global Differential Geometric Approach to the Rational Mechanics of Deformable Media....Pages 33-83
Berry’s Connection, the Charge-Monopole System and the Group Theory of the Diatomic Molecule....Pages 85-121
Symmetry Models in Solid State Chemistry....Pages 123-132
Spontaneous Symmetry Breaking In Unified Theories with Gauge Group SO(10)....Pages 133-140
Symmetries and Statistical Models....Pages 141-145
Infinitely Generated Supermanifolds, Super Lie Groups and and Homogeneous Supermanifolds....Pages 147-162
Lie Algebras and Recurrence Relations II....Pages 163-179
Diffeomorphism Groups And Local Symmetries: Some Applications In Quantum Physics....Pages 181-205
Quasi-Particle Groups in Atomic Shell Theory....Pages 207-214
Properties of Orthogonal Operators....Pages 215-224
Group Theory for Non-Periodic Long-Range Order in Solids....Pages 225-241
Symmetries in The Lagrangian And Hamiltonian Formalism: The Equivariant Inverse Problem....Pages 243-309
Accidental Degeneracy And Structure Of Matter In Strong Magnetic Fields....Pages 311-322
Galilean Symmetry....Pages 323-330
Symmetry in Dynamic Economic Models....Pages 331-346
Harmonic Oscillator Representation in the Theory of Scattering and Reactions....Pages 347-363
Representations of Lie Groups and Integral Transforms....Pages 365-376
Front Matter....Pages 377-377
Self-Organization and Symmetry Breaking in Living Matter....Pages 379-387
Front Matter....Pages 377-377
On Kida Class Of Vortex Filament Motions....Pages 389-398
Dynamical Symmetry of the Kaluza-Klein Monopole....Pages 399-417
Nonlinear Optics in Quantum Confined Semiconductors....Pages 419-422
Symmetry and Scale: From Local to Global Symmetries....Pages 423-452
The Mapping Class Group in Statistical Mechanics: A Concise Review....Pages 453-468
Algebraic Properties and Symmetries Of Integrable Evolution Equations....Pages 469-482
Energy of Skyrmionic Configurations....Pages 483-488
Remarks About the Dynamics of the Solitary Waves....Pages 489-492
A Method of Studying Integrals of Dynamical Systems Based On Frobenius’ Integrability Theorem....Pages 493-503
Front Matter....Pages 505-505
Form Factors of Massive Neutrinos in Extended SU(2)L?U(1) (Models*)....Pages 507-516
Incompatible Observables and the Measurement of Berry’s Phases....Pages 517-524
Hidden Symmetries Of A Self-Dual Monopole....Pages 525-529
On the Importance of the Weyl Group for Kac-Moody and String Algebras....Pages 531-534
On Representations of the Symplectic Group....Pages 535-536
Tensor Product of Finite and Infinite Representations in Physics....Pages 537-543
String and Superstring Spectra....Pages 545-557
The Shift Operators and the Wave Functions in Ginocchio Model....Pages 559-565
Highest Weight Representations of the Lie Algebra gl? in a Gel’fand-Zetlin Basis....Pages 567-574
Computerized Symmetrization of Quantum States....Pages 575-583
Note on the Experimental Evidence for Quantum Mechanical Coherence in Red Blood Cells....Pages 585-586
Front Matter....Pages 505-505
The Analysis of Unitary Irreducible Representations Of u(p,1) Algebra by Using the Projection Operator Method....Pages 587-592
Calculating Properties of Lie Groups....Pages 593-598
On Commutativity of Prime Rings With (?, ?)-Derivations....Pages 599-606
Back Matter....Pages 607-613

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Content:
Front Matter....Pages i-x
Front Matter....Pages 1-1
Fundamental Symmetries and Quantum Electrodynamics....Pages 3-13
Recent Progress in Implementing the Tensor Operator Calculus *,**....Pages 15-32
On a Global Differential Geometric Approach to the Rational Mechanics of Deformable Media....Pages 33-83
Berry’s Connection, the Charge-Monopole System and the Group Theory of the Diatomic Molecule....Pages 85-121
Symmetry Models in Solid State Chemistry....Pages 123-132
Spontaneous Symmetry Breaking In Unified Theories with Gauge Group SO(10)....Pages 133-140
Symmetries and Statistical Models....Pages 141-145
Infinitely Generated Supermanifolds, Super Lie Groups and and Homogeneous Supermanifolds....Pages 147-162
Lie Algebras and Recurrence Relations II....Pages 163-179
Diffeomorphism Groups And Local Symmetries: Some Applications In Quantum Physics....Pages 181-205
Quasi-Particle Groups in Atomic Shell Theory....Pages 207-214
Properties of Orthogonal Operators....Pages 215-224
Group Theory for Non-Periodic Long-Range Order in Solids....Pages 225-241
Symmetries in The Lagrangian And Hamiltonian Formalism: The Equivariant Inverse Problem....Pages 243-309
Accidental Degeneracy And Structure Of Matter In Strong Magnetic Fields....Pages 311-322
Galilean Symmetry....Pages 323-330
Symmetry in Dynamic Economic Models....Pages 331-346
Harmonic Oscillator Representation in the Theory of Scattering and Reactions....Pages 347-363
Representations of Lie Groups and Integral Transforms....Pages 365-376
Front Matter....Pages 377-377
Self-Organization and Symmetry Breaking in Living Matter....Pages 379-387
Front Matter....Pages 377-377
On Kida Class Of Vortex Filament Motions....Pages 389-398
Dynamical Symmetry of the Kaluza-Klein Monopole....Pages 399-417
Nonlinear Optics in Quantum Confined Semiconductors....Pages 419-422
Symmetry and Scale: From Local to Global Symmetries....Pages 423-452
The Mapping Class Group in Statistical Mechanics: A Concise Review....Pages 453-468
Algebraic Properties and Symmetries Of Integrable Evolution Equations....Pages 469-482
Energy of Skyrmionic Configurations....Pages 483-488
Remarks About the Dynamics of the Solitary Waves....Pages 489-492
A Method of Studying Integrals of Dynamical Systems Based On Frobenius’ Integrability Theorem....Pages 493-503
Front Matter....Pages 505-505
Form Factors of Massive Neutrinos in Extended SU(2)L?U(1) (Models*)....Pages 507-516
Incompatible Observables and the Measurement of Berry’s Phases....Pages 517-524
Hidden Symmetries Of A Self-Dual Monopole....Pages 525-529
On the Importance of the Weyl Group for Kac-Moody and String Algebras....Pages 531-534
On Representations of the Symplectic Group....Pages 535-536
Tensor Product of Finite and Infinite Representations in Physics....Pages 537-543
String and Superstring Spectra....Pages 545-557
The Shift Operators and the Wave Functions in Ginocchio Model....Pages 559-565
Highest Weight Representations of the Lie Algebra gl? in a Gel’fand-Zetlin Basis....Pages 567-574
Computerized Symmetrization of Quantum States....Pages 575-583
Note on the Experimental Evidence for Quantum Mechanical Coherence in Red Blood Cells....Pages 585-586
Front Matter....Pages 505-505
The Analysis of Unitary Irreducible Representations Of u(p,1) Algebra by Using the Projection Operator Method....Pages 587-592
Calculating Properties of Lie Groups....Pages 593-598
On Commutativity of Prime Rings With (?, ?)-Derivations....Pages 599-606
Back Matter....Pages 607-613
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