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図書

図書
Edward A. Spiegel, editor
出版情報: Dordrecht ; Heidelberg : Springer, c2011  xiii, 117 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 810
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目次情報: 続きを見る
Prologue
The Turbulence Problem / 1:
The Meaning of 'Turbulence' / 1.1:
Two Fundamental Aspects of Turbulence / 1.2:
The Net Energy Balance / 2:
Interchange of Energy Between States of Motion / 3:
Some Remarks / 4:
On the Harmonic Analysis / 4.1:
On the Concept of Isotropy / 4.2:
On the Possiblity of a Universal Theory / 4.3:
The Spectrum of Turbulent Energy / 5:
The Spectrum / 5.1:
An Equation for the Spectrum / 5.2:
Some Preliminaries to the Development of a Theory of Turbulence / 6:
Heisenberg's Theory of Turbulence / 7:
The Fundamental Equation of the Theory / 7.1:
Chandrasekhar's Solution of (7.17) for the Case of Stationary Turbulence / 7.2:
Fermi's Approach / 8:
Kolmogorov's Theory / 8.2:
The Method of von Neumann / 8.3:
Conclusion / 8.4:
An Alternate Approach: Correlations / 9:
The Equations of Isotropic Turbulence / 10:
The Concept of Isotropy / 10.1:
Two More Examples / 10.2:
Solenoidal Isotropic Tensors / 10.3:
Further Manipulations / 10.3.1:
The Karman-Howarth Equations / 10.3.3:
The Meanings of the Defining Scalars / 12:
Some Results from the Karman-Howarth Equation / 13:
The Taylor Microscale / 13.1:
The Study of the Decay of Turbulence / 13.2:
The Connection Between the Karman-Howarth Equation and the Kolmogorov Theory / 13.3:
The Double Correlation / 13.3.1:
The Triple Correlation / 13.3.2:
The Relation Between the Fourth and Second Order Correlations When the Velocity Follows a Gaussian Distribution / 14:
Some Properties of the Gaussian Distribution / 14.1:
One-Dimensional Gaussian Distribution / 14.1.1:
n-Dimensional Gaussian Function / 14.1.2:
Two-Dimensional Gaussian Function / 14.1.3:
Addition Theorem for Gaussian Distributions / 14.2:
Proof of (14.2) / 14.3:
Chandrasekhar's Theory of Turbulence / 15:
A More Subjective Approach to the Derivation of Chandrasekhar's Equation / 16:
The Dimensionless Form of Chandrasekhar's Equation / 17:
Some Aspects and Advantages of the New Theory / 18:
A Mathematical Justification of the Assumptions of the Heisenberg Theory / 18.1:
Compatibility with the Kolmogorov Theory / 18.2:
The Problem of Introducing the Boundary Conditions / 19:
Discussion of the Case of Negligible Inertial Term / 20:
The Case in Which Viscosity Is Neglected / 21:
Solution of the Non-Viscous Case Near r = 0 / 22:
Solution of the Heat Equation / 23:
Solution of the Quasi-Wave Equation / 24:
The Introduction of Boundary Conditions / 25:
Epilogue
Prologue
The Turbulence Problem / 1:
The Meaning of 'Turbulence' / 1.1:
2.

図書

図書
Richard C. Powell
出版情報: New York : Springer, c2010  viii, 230 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 824
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Symmetry in Solids / 1:
Symmetry / 1.1:
Crystal Structures / 1.2:
Symmetry in Reciprocal Space / 1.3:
Problems / 1.4:
References
Group Theory / 2:
Basic Concepts of Group Theory / 2.1:
Character Tables / 2.2:
Group Theory Examples / 2.3:
Group Theory in Quantum Mechanics / 2.3.1:
Tensor Properties of Crystals / 2.5:
First-Rank Matter Tensors / 3.1:
Second-Rank Matter Tensors / 3.2:
Third-Rank Matter Tensors / 3.3:
Fourth-Rank Matter Tensors / 3.4:
Symmetry Properties of Point Defects in Solids / 3.5:
Energy Levels of Free Ions / 4.1:
Crystal Field Symmetry / 4.2:
Energy Levels of Ions in Crystals / 4.3:
Example: d-Electrons / 4.4:
Example: f-Electrons / 4.5:
Symmetry and the Optical Properties of Crystals / 4.6:
Tensor Treatment of Polarization / 5.1:
Birefringence / 5.2:
Optical Activity / 5.3:
Electrooptical Effect / 5.4:
Photoelastic Effect / 5.5:
Nonlinear Optics / 5.6:
Basic Concepts / 6.1:
Effective Nonlinear Optical Coefficient / 6.2:
Index Matching / 6.3:
Maximizing SHG Efficiency / 6.4:
Two-Photon Absorption / 6.5:
Symmetry and Lattice Vibrations / 6.6:
Symmetry and Local Mode Vibrations / 7.1:
Symmetry and Lattice Vibrational Modes / 7.2:
Transitions Between Vibrational Energy Levels / 7.3:
Radiationless Transitions / 7.3.1:
Infrared Transitions / 7.3.2:
Raman Scattering / 7.4:
Jahn-Teller Effect / 7.5:
Symmetry and Electron Energy Levels / 7.6:
Symmetry and Molecular Bonds / 8.1:
Character Tables for Space Groups / 8.2:
Electron Energy Bands / 8.3:
Symmetry Properties of Electron Energy Bands / 8.4:
Index / 8.5:
Symmetry in Solids / 1:
Symmetry / 1.1:
Crystal Structures / 1.2:
3.

図書

図書
竹内時男著
出版情報: 東京 : 東京開成館, 1936  194,16p ; 21cm
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4.

図書

図書
出射榮著
出版情報: 東京 : 丸善, 1926.8  冊 ; 23cm
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5.

図書

図書
A. Loiseau ... [et al.] (eds.)
出版情報: Berlin, Heidelberg : Springer, c2006  xvi, 552 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 677
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6.

図書

図書
Stefan Hüfner (ed.)
出版情報: Berlin : Springer, c2007  xiv, 409 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 715
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7.

図書

図書
Joachim Asch, Alain Joye (eds.)
出版情報: Berlin : Springer, c2006  xxi, 483 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 690
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8.

図書

図書
金原寿郎編
出版情報: 東京 : 裳華房, 1961  414p ; 21cm
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9.

図書

図書
D.D. Schnack
出版情報: Berlin : Springer, c2009  xv, 323 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 780
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目次情報: 続きを見る
Introduction / Lecture 1:
Review of Scalars, Vectors, Tensors, and Dyads / Lecture 2:
Mass Conservation and the Equation of Continuity / Lecture 3:
The Equation of Motion / Lecture 4:
Energy Flow / Lecture 5:
The Electromagnetic Field / Lecture 6:
Closures / Lecture 7:
Conservation Laws / Lecture 8:
Ideal MHD and the Frozen Flux Theorem / Lecture 9:
Resistivity and Viscosity / Lecture 10:
Similarity Scaling / Lecture 11:
The Wöltjer Invariants of Ideal MHD, Topological Invariance, Magnetic and Cross-Helicity / Lecture 12:
Reduced MHD / Lecture 13:
Equilibrium: General Considerations-The Virial Theorem / Lecture 14:
Simple MHD Equilibria / Lecture 15:
"Force-Free" Fields / Lecture 16:
Toroidal Equilibrium; The Grad-Shafranov Equation / Lecture 18:
Behavior of Small Displacements in Ideal MHD / Lecture 19:
Linearized Equations and the Ideal MHD Force Operator / Lecture 20:
Boundary Conditions for Linearized Ideal MHD / Lecture 21:
Proof that the Ideal MHD Force Operator is Self-Adjoint / Lecture 22:
Waves in a Uniform Medium: Special Cases / Lecture 23:
Waves in a Uniform Medium: Arbitrary Angle of Propagation / Lecture 24:
The Calculus of Variations and the Ideal MHD Energy Principle / Lecture 25:
Examples of the Application of the Energy Principle / Lecture 26:
The Rayleigh-Ritz Technique for Estimating Eigenvalues / Lecture 27:
The Gravitational Interchange Mode or g-Mode / Lecture 28:
Comments on the Energy Principle and the Minimizing Eigenfunction / Lecture 29:
Examples of the Application of the Energy Principle to Cylindrical Equilibria / Lecture 30:
A Very Brief and General Tour of Suydam Analysis for Localized Interchange Instabilities / Lecture 31:
Magnetic Reconnection / Lecture 32:
Steady Reconnection: The Sweet-Parker Problem / Lecture 33:
Resistive Instabilities: The Tearing Mode / Lecture 34:
Resistive Instabilities: Closing Remarks / Lecture 35:
Turbulence / Lecture 36:
MHD Relaxation: Magnetic Self-Organization / Lecture 37:
Dynamos: Magnetic Field Generation and Maintenance / Lecture 38:
Appendix
Fluid Models of Magnetized Plasmas
Bibliography
Index
Introduction / Lecture 1:
Review of Scalars, Vectors, Tensors, and Dyads / Lecture 2:
Mass Conservation and the Equation of Continuity / Lecture 3:
10.

図書

図書
C. Bär, K. Fredenhagen (eds.)
出版情報: Berlin : Springer, c2009  x, 160 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 786
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C*-algebras / Christian Bär ; Christian Becker1:
Basic Definitions / 1.1:
The Spectrum / 1.2:
Morphisms / 1.3:
States and Representations / 1.4:
Product States / 1.5:
Weyl Systems / 1.6:
References
Lorentzian Manifolds / Frank Pfäffie2:
Preliminaries on Minkowski Space / 2.1:
Time-Orientation and Causality Relations / 2.2:
Causality Condition and Global Hyperbolicity / 2.4:
Cauchy Hypersurfaces / 2.5:
Linear Wave Equations / Nicolas Ginoux3:
Introduction / 3.1:
General Setting / 3.2:
Riesz Distributions on the Minkowski Space / 3.3:
Local Fundamental Solutions / 3.4:
The Cauchy Problem and Global Fundamental Solutions / 3.5:
Green's Operators / 3.6:
Microlocal Analysis / Alexander Strohmaier4:
Distributions / 4.1:
Singularities of Distributions and the Wavefront Set / 4.3:
Differential Operators, the Wave Equation, and Further Properties of the Wavefront Set / 4.4:
Wavefront Set of Propagators in Curved Spacetimes / 4.5:
Quantum Field Theory on Curved Backgrounds / Romeo Brunetti ; Klaus Fredenhagen5:
Systems and Subsystems / 5.1:
Locally Covariant Theories / 5.3:
Classical Field Theory / 5.4:
Quantum Field Theory / 5.5:
Index
C*-algebras / Christian Bär ; Christian Becker1:
Basic Definitions / 1.1:
The Spectrum / 1.2:
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