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図書

図書
Nandita Rudra, P. Rudra
出版情報: Hackensack : World Scientific, c2010  xvii, 229 p. ; 24 cm
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Preface
Notations and Fundamental Constants
Basic Concepts / 1:
Introduction / 1.1:
Master Equation and Hypothesis of Equal á-priori Probability / 1.2:
Example of 3 Level Systems / 1.2.1:
Phase Space, Phase Point, Phase Trajectory / 1.3:
Statistical Distribution Function and Ergodic Hypothesis / 1.4:
Statistical Fluctuation and Statistical Independence / 1.5:
Statistical Fluctuation and Generalized Susceptibility / 1.6:
Generalized Ornstein-Zernicke Relation / 1.7:
Problems / 1.8:
Motion of Systems in Phase Space / 2:
Integral Invariants / 2.1:
Classical Liouville's Equation / 2.2:
Role of Energy / 2.3:
Quantum Mechanical Density Matrix / 2.4:
Quantum Liouville's Equation / 2.5:
States in Statistical Physics / 2.6:
Microscopic and Macroscopic States / 3.1:
Statistical Weight and Density of States / 3.2:
Examples: Non-interacting One- and N-Particle Systems and Spin-1/2 Particles / 3.3:
Entropy and Boltzmann's Principle / 3.4:
Boltzmann's H-Theorem / 3.5:
Statistical Ensembles / 3.6:
Microcanonical Distribution Function / 4.1:
Canonical (Gibbs) Distribution Function / 4.3:
Thermodynamic Temperature and Distribution Function / 4.3.1:
Spin-1/2 Particles and Negative Temperature / 4.3.2:
Partition Function and Different Thermodynamic Functions / 4.3.3:
System of Linear Harmonic Oscillators in Canonical Ensemble / 4.3.4:
Energy Fluctuation in Canonical Ensemble and Equivalence of Canonical and Microcanonical Ensembles / 4.3.5:
Grandcanonical Distribution Function / 4.4:
Dependence of Thermodynamic Functions on Number of Particles / 4.4.1:
Chemical Potential and Distribution Function / 4.4.2:
Density Fluctuation in Grandcanonical Ensemble and Equivalence of Grandcanonical and Canonical Ensembles / 4.4.3:
Ideal Gas / 4.5:
Boltzmann Distribution / 5.1:
Partition Function, Free Energy and Equation of State / 5.2:
Specific Heat: Translational, Vibrational and Rotational Components / 5.3:
Degeneracy Temperature / 5.4:
Chemical Reaction Equilibrium / 5.5:
Conditions of Chemical Equilibrum / 6.1:
Law of Mass Action / 6.2:
Heat of Reaction and Direction of Reaction / 6.3:
Ionization Equilibrium / 6.4:
Saha Formula / 6.5:
Real Gas / 6.6:
Free Energy, Virial Equation of State / 7.1:
Second Virial Coefficient and Applicability of Virial Equation / 7.2:
Model Calculation and van-der-Waal's Equation of State / 7.3:
Joule-Thomson Expansion and Inversion Temperature / 7.4:
Strong Electrolytes / 7.5:
Debye-Hückel Approximation, Debye Length / 8.1:
Screened Coulomb Potential / 8.2:
Equation of State and Osmotic Pressure / 8.3:
Quantum Statistics / 8.4:
Bose and Fermi Distributions / 9.1:
Quantum Gases of Elementary Particles: Number Density and Chemical Potential, Energy Density, Equation of State / 9.2:
Black Body Radiation and Planck's Law / 9.3:
Lattice Specific Heat and Phonons / 9.4:
Degenerate Bose Gas, Bose Condensation / 9.5:
Liquid He and Superfluidity / 9.6:
Systematics of Liquid 4He / 9.6.1:
Landau's 2-Fluid Model / 9.6.2:
Systematics of Liquid 3He / 9.6.3:
Degenerate Fermi Gas, Degeneracy Pressure, Specific Heat / 9.7:
Magnetism of Free Fermions / 9.8:
Preamble / 9.8.1:
Landau Diamagnetism / 9.8.2:
Pauli Paramagnetism / 9.8.3:
Interacting Fermi System: Fermi Liquid Theory / 9.9:
Relativistic Degenerate Fermi Gas / 9.10:
Bose-Einstein Condensate / 9.11:
Trapping of Atoms / 10.1:
Cooling of Atoms / 10.3:
Statistical Astrophysics / 10.4:
Stars: Stability and Evolution / 11.1:
High Temperature Dense Matter / 11.3:
Neutron Stars and Black Holes / 11.4:
Phase Transitions / 11.5:
Systematics of Phase Transitions / 12.1:
Ehrenfest's Classification of Phase Transitions / 12.2:
Order Parameter, Continuous and Discontinuous Transitions / 12.3:
Landau's Theory of Continuous Phase Transitions / 12.4:
Continuity of Entropy and Discontinuity of Specific Heat / 12.5:
Generalized Susceptibility / 12.6:
Critical Exponents and Fluctuations of Order Parameter / 12.7:
Ising Model / 12.8:
Zero-Field 1-Dimensional Case / 12.8.1:
Non-Zero-Field 1-Dimensional Case / 12.8.2:
Multi-Dimensional Case / 12.8.3:
2-Dimensional Ising System / 12.8.4:
Irreversible Processes / 12.9:
Linear Response Theory (Kubo Formalism) / 13.1:
Mechanical Process / 13.2.1:
Thermal Process / 13.2.2:
Symmetry Relations / 13.3:
Fluctuation-Dissipation Theorem / 13.4:
Mathematical Appendix / 13.5:
Beta and Gamma Functions / 14.1:
Dirac Delta Function (Distribution) / 14.2:
Functional Derivative / 14.3:
Mathematical Identities / 14.4:
Multiple Summation / 14.5:
Pauli Matrices / 14.6:
Probability Theory / 14.7:
Elementary Results of Probability Theory / 14.7.1:
Statistical Distributions / 14.7.2:
Central Limit Theorem / 14.7.3:
Quantum Mechanics, A Retrospect / 14.8:
Riemann, Bernoulli and Fourier / 14.9:
Riemann's ζ-Function / 14.9.1:
Bernoulli Numbers and Polynomials / 14.9.2:
Fourier Series / 14.9.3:
Integrals of Quantum Statistics / 14.9.4:
Sanskrit Transliteration / 14.10:
Stirling's Theorem / 14.11:
Summation and Integration / 14.12:
Volume of an N-Dimensional Sphere / 14.13:
Bibliography
Index
Preface
Notations and Fundamental Constants
Basic Concepts / 1:
2.

図書

図書
edited by Elizabeth Garber, Stephen G. Brush, and C.W.F. Everitt
出版情報: Cambridge, Mass. : MIT Press, c1986  xxvii, 565 p. ; 24 cm
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3.

図書

図書
by Yu.L. Klimontovich ; translated from the Russian by G. Pontecorvo
出版情報: Chur, Switzerland ; New York : Harwood Academic Publishers, c1986  xxvi, 734 p. ; 24 cm
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4.

図書

図書
[by] Don C. Kelly
出版情報: New York : Academic Press, [1973]  xiii, 421 p. ; 24 cm
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5.

図書

図書
editor P. T. Landsberg
出版情報: London : Pion, c1971  [4], viii, 573 p. ; 24 cm
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6.

図書

図書
Harvey Gould and Jan Tobochnik
出版情報: Princeton, N.J. : Princeton University Press, c2010  xvii, 511 p. ; 24 cm
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7.

図書

図書
Piotr Garbaczewski
出版情報: Singapore ; Philadelphia : World Scientific, c1985  xiii, 244 p. ; 23 cm
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8.

図書

図書
C. Kittel
出版情報: New York : Wiley, c1958 , London : Chapman & Hall  ix, 228 p. ; 24 cm
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9.

図書

図書
by E.M. Lifshitz and L.P. Pitaevskiĭ ; translated from the Russian by J.B. Sykes and M.J. Kearsley
出版情報: Oxford : Butterworth-Heinemann, 1995, c1980  x, 387 p. ; 25 cm
シリーズ名: Course of theoretical physics ; v. 9 . Statistical physics / L.D. Landau and E. M. Lifshitz ; pt. 2
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目次情報: 続きを見る
Fundamental principles of theoretical physics
The Gibbs distribution
Ideal gases
Solids
Non-ideal gases
Solutions
Chemical reactions
Fluctuations
Surfaces
Fundamental principles of theoretical physics
The Gibbs distribution
Ideal gases
10.

図書

図書
Rosario N. Mantegna, H. Eugene Stanley
出版情報: Cambridge, U.K. : Cambridge University Press, 2000  ix, 148 p. ; 26 cm
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Preface
Introduction / 1:
Efficient market hypothesis / 2:
Random walk / 3:
Lévy stochastic processes and limit theorems / 4:
Scales in financial data / 5:
Stationarity and time correlation / 6:
Time correlation in financial time series / 7:
Stochastic models of price dynamics / 8:
Scaling and its breakdown / 9:
ARCH and GARCH processes / 10:
Financial markets and turbulence / 11:
Correlation and anti-correlation between stocks / 12:
Taxonomy of a stock portfolio / 13:
Options in idealized markets / 14:
Options in real markets / 15:
Notation guide / Appendix A:
Martingales / Appendix B:
References
Index
LFvy stochastic processes and limit theorems
Preface
Introduction / 1:
Efficient market hypothesis / 2:
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