Simeone C. — Deparametrization and Path Integral Quantization of Cosmological Models :: Электронная библиотека попечительского совета мехмата МГУ

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

Авторизация

Поиск по указателям

Simeone C. — Deparametrization and Path Integral Quantization of Cosmological Models

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Deparametrization and Path Integral Quantization of Cosmological Models

Автор: Simeone C.

Аннотация:

In this book, homogeneous cosmological models whose Hamilton-Jacobi equation is separable are deparametrized by turning their action functional into that of an ordinary gauge system. Canonical gauges imposed on the gauge system are used to define a global phase time in terms of the canonical variables of the minisuperspaces. The procedure clearly shows how the geometry of the constraint surface restricts the choice of time. The consequences that this has for path integral quantization are discussed, and the transition amplitude is obtained for relativistic isotropic models, relativistic anisotropic models (Kantowski-Sachs and Taub) and isotropic string cosmologies. A complete chapter about the application of the deparametrization program to the usual canonical quantization scheme is also included.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 152

Добавлена в каталог: 24.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Airy functions      96
Arnowitt, Deser and Misner      8
Baxvinsky      30 93
Bessel functions      51 95 97 98 101
Bianchi identities      79 80
Bianchi models      5 62
Bianchi type I universe      5 74 132
Bianchi type IX universe      5 62 67
Canonical gauge(s)      3 5 22 23 26 28 34 35 37 39 47 53 65 66 70 73 84 86 87 98 106 124
Conformal scalar field      93
Conmutator(s)      70 103
Cosmological constant      8 42 43 45 46 48 55 56 58 92 106
Cosmological function      79 88
de Sitter universe      5 46 48 57 106
Derivative gauge(s)      3 15
DeWitt supermetric      2 8 10
Dilaton      6 77 79 80 82 85 88 90 107
Dilatonic era      107
Dilatonic theories      77
Dirac bracket      115
Dirac — Wheeler — DeWitt quantization      1 5 6 13 30 108
Einstein action      7 8 79
Einstein Universe      82
End point terms      12 21 22 23 24 25 31 34 39 40 49 53 55 70 87 123 124 125 126
Euler — Lagrange equations      78 80
Extrinsic curvature      8 20 21
Extrinsic time      4 6 20 21 27 30 45 53 55 56 57 59 60 65 66 67 70 73 74 75 84 85 89 97 106 107 129 130
Fadeev — Popov      3 25 28 106
Feynman      117
Feynman propagator      33 36
Field lines      19 20
Finite propagator      50
First class      113 115 119
Fishbone      102
Friedmann — Robertson — Walker universe      40 45 61 62 67 80 93
Gauge freedom      23 47
Gauge invariance      3 12 17 22 24 49 84 125
Gauge parameter      15 115
Gauge-invariant action      4 5 12 18 21 23 24 25 31 32 34 38 55
Global phase time      3 4 5 12 16 19 20 21 26 29 34 47 49 53 54 55 56 57 58 59 63 66 67 71 74 82 84 85 86 87 88 89 94 95 97 98 99 101 105 106 108 131
Graceful exit problem      6 107
Gribov ambiguity/problem      4 16 18 27 106 115
Gribov copies      18 26 49
Haji'cek      100
Halliwell      91 92
Hamilton — Jacobi equation      3 5 21 22 27 34 38 46 48 52 58 64 76 82 83 106 107 129
Hamiltonian vector      19
Hankel function(s)      51 88
Heaviside function      34
Hilbert action (Einstein-)      79
Hilbert space      102 119
Hubble constant      57
Hyperbolic (equation)      14 96
Ideal clock      5 33 36 40 46 58 95 106 121
Infinitesimal propagator      50 88 118
Inner product      13 27 117 119 122

Intrinsic time      4 5 20 21 29 30 31 32 33 43 53 55 56 60 63 65 67 68 70 71 73 86 87 89 92 123 130
Jacobi action      12
Kantowski — Sachs universe      5 30 62 71 101
Klein — Gordon equation      33 36
Kuchaf      8
Lagrange multiplier      2 3 37
Lagrangian      75 111 118
Lapse      8 9 10 11 17 28
Legendre transformation      111
Many-fingered (nature of) time      2 9
Minisuperspace approximation      10
Moncrief      94 96
Observable(s)      24 25 29 30 32 49 50 55 64 105 108 115 119
Orbit      18 49 115
Ordering      13 16 61 92 94 99
Ordinary gauge system      3 18 22 26 38 52 69 70 83 105
Parabolic (equation)      14 96
Parametrized free particle      126
Parametrized system      3 5 10 12 19 20 21 22 26 29 37 74 95 106
Physical inner product      120
Poisson bracket(s)      9 19 26 33 56 67 75 85 87 112 113 115 119
Ponomariov      93
Positive-definite probability      13
Primary constraint      3 111 113 114
Projected kernel      121
Propagator      15 29 31 33 34 50 51 55 57 67 71 72 88 102 106 108 117 119 121
Reduced (phase) space      24 49 93 105 119 120
Reduced system      5 24 25 28 31 32 49 50 54 93 106 119
Relativistic free particle      5 33 106 131
Reparametrization      11 12 13
Ricci scalar      77
Ryan      94 96
Scalar curvature      8 74
Scalar field      5 45 48 55 56 67 72 92 94 99
Scale factor      10 42 45 57 58 60 63 64 81 92 95
Schroedinger equation      14 91 93 97 99 100 102 103
Schroedinger quantization      6
Second class      113 114 115 119
Secondary constraint      112 114
Self-adjoint (operator)      32 102
Shift      8 9 10
String frame action      79
Superspace      8
Szekeres universe      5 75
Taub universe      5 6 14 31 62 67 91 94 96 101 103 106 108 129
Tensor field      6
True degrees of freedom      2 4 5 16 47 55 67 69 96 105 106
True Hamiltonian      14 23 25 28 36 40 50 51 55 59 65 67 83 93 97
Two-form field      6 77 80 82
Unitarity      13
Unitary (theory/quantization)      1 32 51 91 100 102
Weyl’s anomalous parameter      82
Weyl’s invariance      78
Wheeler — DeWitt equation      6 13 14 27 91 95 96 98 99 100 101 103 108
WKB      27 92
Yang — Mills field      93

О проекте