Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Naber G.L. — The geometry of Minkowski spacetime: an introduction to the mathematics of the special theory of relativity
Naber G.L. — The geometry of Minkowski spacetime: an introduction to the mathematics of the special theory of relativity

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: The geometry of Minkowski spacetime: an introduction to the mathematics of the special theory of relativity

Автор: Naber G.L.

Аннотация:

It is the intention of this monograph to provide an introduction to the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. Particular care has been exercised in keeping clear the distinction between a physical phenomenon and the mathematical model which purports to describe that phenomenon so that, at any given point, it should be clear whether we are doing mathematics or appealing to physical arguments to interpret the mathematics.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 259

Добавлена в каталог: 19.07.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$\alpha$-emission      94
2-form      130
3-vector      22
3-vector, direction      23 90
3-vector, relative momentum      88
3-vector, velocity      22
4-acceleration      56
4-momentum of a material particle      88
4-momentum of a photon      90
4-tensors      144 149
4-vector, contravariant      150
4-vector, covariant      150
4-velocity      56
Aberration formula      93
Accelerations      41 58 60
Active transformation      79
Addition of velocities formula      28
Admissible basis      20
Admissible frame of reference      3 20
Admissible frame of reference, nonexistence of      6
Anti-isomorphism      167
Barn paradox      45
Bilinear form      7
Bilinear form, components of      129
Bilinear form, matrix of      128
Bilinear form, nondegenerate      7
Bilinear form, skew-symmetric      160 161
Bilinear form, spinor equivalent of      203
Bilinear form, symmetric      7
Binding energy      95 97
Binomial expansion      88
Biot — Savart law      136
Bivector      129 188
Bivector, spinor equivalent of      189
Boost      28
Canonical basis      114 117
Canonical forms      113 115 117
Carriers of a representation      146 147
Cartan, E.      143
Catenary      125
Causal automorphism      4 65 224 225
Causal precedence      64
Causality assumption      4
Causality relations      64
Cayley — Hamilton theorem      111
Change of basis formula      144
Characteristic equation      106
Charge      100
Charge-to-mass ratio      125
Charged particle      100
Chronological precedence      64 223
Clock Hypothesis      52
clocks      2 25
Clocks, atomic      2
Clocks, synchronization of      2 3
Commutation relations      178
Compton effect      95
Compton wavelength      97
Cone      4 17
Cone, null      11
Cone, time      17
Configuration space      235
Conjugate isomorphism      167
Conjugate spin covector      167
Conjugate spin vector      167
Conjugate spinor      177
Conjugate transpose      75
Conjugation representation      154
Connectible by a light ray      11
Conservation laws      87
Conservation of energy      94
Conservation of momentum      94
Conservation of world momentum      94
Constant electromagnetic fields      12 133
Constant loop      231
Contact interaction      93
Contraction      175
Contravariant rank      148—150 169
Contravariant vectors      150
Coordinate transformation      4
Coordinates, spatial      1 10
Coordinates, time      10
Cosmic rays      24
Coulomb field      133
Coulomb field, total energy of      135
Covariant rank      148—150 169
Covariant vectors      150
Covectors      147 150
Covering map      233
Covering transformation      233
Curve      51
Curve, component functions of      51
Curve, E-continuous future- (past-) timelike      211
Curve, null      52
Curve, reparametrization of      52
Curve, smooth      51
Curve, spacelike      52
Curve, timelike      52
Decay      94
Dilation      66
Dilation time      24 39
Dirac      143 144
Dirac equation      143
Dirac, Scissors Problem      227
Direct sum      47
Direction 3-vector of a photon      90
Direction 3-vector of a reference frame      23
Disintegration      94
Displacement vector      11
Displacement vector, null      11
Displacement vector, spacelike      61
Displacement vector, timelike      46
Distance      62
Distance, measured with clocks      62
Divergence      127
Dominant energy condition      121 132 205
Doppler effect      91
Doppler effect, transverse      92
Double cover      238
Dual basis      147
Dual of a bivector      131
Duration      47
E-continuous curve      211
E-continuous curve, future-timelike      212
E-continuous curve, future-timelike at $t_0$      211
E-continuous curve, past-timelike      212
E-continuous curve, past-timelike at $t_0$      212
E-continuous curve, timelike      212
E-continuous curve, timelike vs. smooth timelike      212
E-continuous map      211
E-distance      210
E-open ball      211
E-open set      211
E-topology      211
Eigenspace      105
Eigenspinor      200
Eigenvalue of a linear transformation      105
Eigenvalue of a spinor      200
Eigenvector      105
Einstein summation convention      x-xi
Electric 3-vector      100 102
electromagnetic field      100 126 129
Electromagnetic field, constant      121
Electromagnetic field, null      107 113 201
Electromagnetic field, regular      107 113 201
Electromagnetic field, spinor      196
Electromagnetic spinor      196
Electromagnetic waves, simple, plane      136 138
Electromagnetic waves, spherical      3
Electron      143
Electron, spin      143 227
Energy      89
Energy, Coulomb field      135
Energy, density      119
Energy, of a photon      90
Energy, total relativistic      89
Energy-momentum      88
Energy-momentum transformation      117
Energy-momentum transformation, spinor form of      203
Equation of motion      100
Euler angles      79
Events      1 9
Expansion factor      72
Extended complex plane      81
Exterior derivative      130
Feynman path      220
Feynman track of an electron      220
Field equations      208
Field of vision      86
Fizeau procedure      3
Flag pole of a spin vector      188 226
Fractional linear transformations      75 83
Frame of reference, admissible      1—6 10 20
Free charged particle      100
Free particle      93
Frequency of a photon      90
Fundamental group      231
Fundamental group, of $SO(3)$      236
Fundamental group, of $\mathbb RP^n$      234 235
Fundamental group, of a product      231
Future null cone      11
Future null direction      80
Future time cone      17
Future-directed, null curve      52
Future-directed, null vector      17
Future-directed, timelike curve      52
Future-directed, timelike vector      17
General linear group      145
Gravitation      1
Gravitation, negligible      6
Group of trantiformationH      15
Group representations      143 146
Hermitian matrix      75
Homeomorphism group      224
Homomorphism      78 146
Homotopic paths      230
Homotopy      230
Hyperbolic form of the special Lorent transformations      29
Hyperbolic motion      58—60
Identity representation      154
Index of an inner product      9
Inelastic collision      97
Inertial mass      88
Infeld — van der Waerden symbols      182
Initial point on a worldline      94
Inner product      7
Inner product, indefinite      7
Inner product, index of      7
Inner product, Lorentz      9
Inner product, negative definite      7
Inner product, positive definite      7
Instantaneous rest frame      58
Invariant subspace of a linear transformation      106
Invariant subspace of a representation      151
Kennedy — Thorndike      3
Kernel      104
Length      42
Length, contraction      43
Levi-Civita symbols      130
Levi-Civita symbols, spinor equivalent of      207
Light cone      11
Light cone, future and past      17
Light ray      11
Light ray, as an intersection of null cones      12
light signals      3
Light travel time      3
Lightlike vector      10
Loop      230
Loop, constant (trivial)      231
Lorentz contraction      43
Lorentz contraction, invisibility of      85
Lorentz group      15 21
Lorentz group, general homogeneous      21
Lorentz group, inhomogeneous      21
Lorentz group, two-valued representations of      152
Lorentz inner product      9
Lorentz inner product, spinor equivalent of      203
Lorentz invariant      144 150
Lorentz transformations      5 14
Lorentz transformations, boost      28
Lorentz transformations, decomposition of      30
Lorentz transformations, determined by three past null directions      85
Lorentz transformations, effect on past null directions      84
Lorentz transformations, general homogeneous      14
Lorentz transformations, hyperbolic form      29 30
Lorentz transformations, improper      20
Lorentz transformations, invariant null directions of      85
Lorentz transformations, nonorthochronous      16
Lorentz transformations, orthochronous      5 16
Lorentz transformations, proper      20
Lorentz transformations, special      27
Lorentz transformations, vs fractional linear transformations      74—84
Lorentz World Force Law      100
Lowering indices      172 176
Magnetic 3-vector      100 102
Mass, inertial      88
Mass, proper      88
Mass, relativistic      88
Mass-energy equivalence      89
Material particle      87
Material particle, free      88
Material particle, worldline of      52
Matrix group      145
Matrix group, order of      145
Matrix group, representation of      146
Matrix of a bilinear form      128
Maxwell's equations      101 127 129 131
Maxwell's equations, solutions of      133—142
Maxwell's equations, spinor form of      208
Measuring rods      43 44
Metric      210
Metric, equivalent      211
Michelson — Morley      3
Minkowski diagram      34
Minkowski spacetime      9
Multilinear functional      149
Neutrino equation      208
Null basis      10
Null cone      11
Null cone, future      18
Null cone, past      18
Null direction      80
Null direction, future      80
Null direction, past      80
Null electromagnetic field      201
Null flag      194 226
Null vector      10
Null vector, future-directed      18
Null vector, orthogonal      10
Null vector, parallel      10
Null vector, past-directed      18
Null worldline      11
Observer      1
Observer, admissible      1 20
Open set in $\mathcal M$      126
Orientation-entanglement relation      237
Orthochronous      5 16 66 225
Orthogonal complement      7
Orthogonal transformations      12
Orthogonal transformations, and causal automorphisms      66
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте