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Theoretical Astrophysics : an Introduction.

Author: Matthias Bartelmann
Publisher: Hoboken : Wiley, 2013.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
A concise yet comprehensive introduction to the central theoretical concepts of modern astrophysics, presenting hydrodynamics, radiation, and stellar dynamics all in one textbook. Adopting a modular structure, the author illustrates a small number of fundamental physical methods and principles, which are sufficient to describe and understand a wide range of seemingly very diverse astrophysical phenomena and  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Bartelmann, Matthias.
Theoretical Astrophysics : An Introduction.
Hoboken : Wiley, ©2013
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Matthias Bartelmann
ISBN: 9783527669783 3527669787 9783527669776 3527669779
OCLC Number: 854977487
Notes: 3.2.4 The Combined Set of Equations.
Description: 1 online resource (342 pages)
Contents: Theoretical Astrophysics; Contents; Preface; Acknowledgements; Colour Plates; 1 Theoretical Foundations; 1.1 Units; 1.1.1 Lengths, Masses, Times, and Temperatures; 1.1.2 Charges and Electromagnetic Fields; 1.1.3 Natural Constants; 1.2 Lorentz Invariance; 1.2.1 The Special Lorentz Transform; 1.2.2 Minkowski Space; 1.2.3 Some Properties of the Minkowski World; 1.2.4 Relativistic Dynamics; 1.3 Electromagnetism; 1.3.1 Field Tensor and Sources; 1.3.2 Lorentz Transform of the Electromagnetic Field; 1.3.3 Maxwell's Equations; 1.3.4 Energy-Momentum Conservation. 1.3.5 Liénard-Wiechert Potentials and the Larmor Formula1.3.6 The Lorentz Force; 1.4 Elementary Kinetic Theory; 1.4.1 The BBGKY Hierarchy and the Boltzmann Equation; 1.4.2 Collision Terms; 1.4.3 Diffusion in Phase-Space: The Fokker-Planck Approximation; 1.4.4 Diffusion in Absolute Momentum; 1.4.5 Calculation of the Diffusion Coefficient D2; Further Reading; 2 Radiation Processes; 2.1 Thomson Scattering; 2.2 Spectra; 2.3 Synchrotron Radiation; 2.3.1 Larmor Frequency and Relativistic Focussing; 2.3.2 Synchrotron Power; 2.3.3 Synchrotron Spectrum; 2.4 Bremsstrahlung. 2.4.1 Orbit of an Electron Scattering off an Ion2.4.2 Fourier Transform of the Orbit; 2.4.3 Integration over Impact Parameters; 2.4.4 Average over Electron Velocities, Thermal Bremsstrahlung; 2.5 Radiation Damping; 2.5.1 Damping Force; 2.5.2 Transfer of Energy from a Moving Charge to a Radiation Field; 2.6 Compton Scattering; 2.6.1 Energy Change in the Scattering Process; 2.6.2 Net Energy Transfer; 2.6.3 The Kompaneets Equation; 2.7 Radiative Quantum Transitions; 2.7.1 Transition Probability; 2.7.2 Perturbing Hamiltonian; 2.7.3 Decomposition of the Electromagnetic Field. 2.7.4 Dipole Approximation2.7.5 Cross Sections; 2.7.6 Photoionisation Cross Section; 2.8 Shapes of Spectral Lines; 2.8.1 Natural Line Width; 2.8.2 Collisional Broadening; 2.8.3 Doppler Broadening of Spectral Lines; 2.8.4 The Voigt Profile; 2.8.5 Equivalent Widths and Curves-of-Growth; 2.9 Radiation Quantities; 2.9.1 Specific Intensity; 2.9.2 Moments of the Intensity; 2.9.3 Relativistic Invariance of I/3; 2.10 The Planck Spectrum and Einstein Coefficients; 2.10.1 The Planck Spectrum; 2.10.2 Transition Balance and the Einstein Coefficients; 2.11 Absorption and Emission. 2.11.1 Absorption Coefficients and Emissivity2.11.2 Radiation Transport in a Simple Case; 2.11.3 Emission and Absorption in the Continuum Case; 2.11.4 Energy Transport Through Absorbing Media; Further Reading; 3 Hydrodynamics; 3.1 The Equations of Ideal Hydrodynamics; 3.1.1 Particle-Current Density and Energy-Momentum Tensor; 3.1.2 Collisional Invariants and the Fluid Approximation; 3.1.3 The Equations of Ideal Hydrodynamics; 3.2 Relativistic Hydrodynamics; 3.2.1 Hydrodynamic Equations; 3.2.2 Hydrodynamics in a Weak Gravitational Field; 3.2.3 Gravitational Field Equation.

Abstract:

A concise yet comprehensive introduction to the central theoretical concepts of modern astrophysics, presenting hydrodynamics, radiation, and stellar dynamics all in one textbook. Adopting a modular structure, the author illustrates a small number of fundamental physical methods and principles, which are sufficient to describe and understand a wide range of seemingly very diverse astrophysical phenomena and processes. For example, the formulae that define the macroscopic behavior of stellar systems are all derived in the same way from the microscopic distribution function. This function it.

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