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引力-基礎與前沿-(影印版) 版權信息
- ISBN：9787301227879
- 條形碼：9787301227879 ; 978-7-301-22787-9
- 裝幀：一般膠版紙
- 冊數：暫無
- 重量：暫無
- 所屬分類：>>
引力-基礎與前沿-(影印版) 本書特色
帕德馬納班編著的這本《引力--基礎與前沿》覆蓋了當代引力理論的方方面面。在基礎部分，本書首先介紹了引力理論的一些基本的概念、方法和公式。之后，本書進而對引力理論在球對稱時空、黑洞、引力波和宇宙學領域的應用做了系統而深入的介紹。在前沿部分，本書討論了宇宙微擾論、彎曲時空量子場論和廣義相對論的Hamiltonian結構等當前很受關注的重要問題。本書適合理論物理所有領域的研究者和研究生閱讀。
引力-基礎與前沿-(影印版) 內容簡介
本書覆蓋了當代引力理論的方方面面。在基礎部分，介紹基本的公式之后，還對引力理論在球對稱時空、黑洞、引力波和宇宙學領域的應用做了介紹。在前沿部分，本書討論了宇宙微擾論、彎曲時空量子場論和廣義相對論的Hamiltonian結構等問題。本書適合引力、理論物理乃至所有物理領域的研究者和研究生閱讀。
引力-基礎與前沿-(影印版) 目錄
list of exercises
list of projects
preface
how to use this book
1 special relativity
1.1 introduction
1.2 the principles of special relativity
1.3 transformation of coordinates and velocities
1.3.1 lorentz transformation
1.3.2 transformation of velocities
1.3.3 lorentz boost in an arbitrary direction
1.4 four-vectors
1.4.1 four-velocity and acceleration
1.5 tensors
1.6 tensors as geometrical objects
1.7 volume and surface integrals in four dimensions
1.8 particle dynamics
1.9 the distribution function and its moments
1.10 the lorentz group and pauli matrices
2 scalar and electromagnetic fields in special relativity
2.1 introduction
2.2 external fields of force
2.3 classical scalar field
2.3.1 dynamics of a particle interacting with a scalarfield
2.3.2 action and dynamics of the scalar field
2.3.3 energy-momentum tensor for the scalar field
2.3.4 free field and the wave solutions
2.3.5 why does the scalar field lead to an attractiveforce?
2.4 electromagnetic field
2.4.1 charged particle in an electromagnetic field
2.4.2 lorentz transformation of electric and magneticfields
2.4.3 current vector
2.5 motion in the coulomb field
2.6 motion in a constant electric field
2.7 action principle for the vector field
2.8 maxwell's equations
2.9 energy and momentum of the electromagnetic field
2.10 radiation from an accelerated charge
2.11 larmor formula and radiation reaction
3 gravity and spaeetime geometry: the inescapable connection
3.1 introduction
3.2 field theoretic approaches to gravity
3.3 gravity as a scalar field
3.4 second rank tensor theory of gravity
3.5 the principle of equivalence and the geometricaldescription of gravity
3.5.1 uniformly accelerated observer
3.5.2 gravity and the flow of time
4 metric tensor, geodesics and covariant derivative
4.1 introduction
4.2 metric tensor and gravity
4.3 tensor algebra in curved spacetime
4.4 volume and surface integrals
4.5 geodesic curves
4.5.1 properties of geodesic curves
4.5.2 affine parameter and null geodesics
4.6 covariant derivative
4.6.1 geometrical interpretation of the covariantderivative
4.6.2 manipulation of covariant derivatives
4.7 parallel transport
4.8 lie transport and killing vectors
4.9 fermi-walker transport
5 curvature of spaeetime
5.1 introduction
5.2 three perspectives on the spacetimecurvature
5.2.1 parallel transport around a closed curve
5.2.2 non-commutativity of covariant derivatives
……
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