Deparametrization and path integral quantization of cosmological models:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
River Edge, N.J.
World Scientific
c2001
|
| Schriftenreihe: | World Scientific lecture notes in physics
v. 69 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 133-135) and index Ch. 1. Introduction -- ch. 2. The gravitational field as a constrained Hamiltonian system. 2.1. Momentum and Hamiltonian constraints. 2.2. Minisuperspaces as constrained systems. 2.3. Quantization -- ch. 3. Deparametrization and path integral quantization. 3.1. The identification of time. 3.2. Gauge-invariant action for a parametrized system. 3.3. Path integral. 3.4. Examples -- ch. 4. Homogeneous relativistic cosmologies. 4.1. Isotropic universes. 4.2. Anisotropic universes -- ch. 5. String cosmologies. 5.1. String theory on background fields. 5.2. String cosmological models. 5.3. Path integral quantization -- ch. 6. Canonical quantization. 6.1. Approximate solutions of the Wheeler-DeWitt equation. 6.2. Gauge fixation and Schrodinger equation for isotropic models. 6.3. The Taub universe. 6.4. String cosmologies -- ch. 7. Discussion The problem of time is a central feature of quantum cosmology: differing from ordinary quantum mechanics, in cosmology there is nothing "outside" the system which plays the role of clock, and this makes difficult the obtention of a consistent quantization. A possible solution is to assume that a subset of the variables describing the state of the universe can be a clock for the remaining of the system. Following this line, in this book a new proposal consisting in the previous identification of time by means of gauge fixation is applied to the quantization of homogeneous cosmological models. Both path integral and canonical formulations are studied for relativistic and string cosmologies; in particular, a complete chapter about low energy string cosmology is included. The required basic concepts (as for example the Hamiltonian formulation of General Relativity) are reviewed, so that the book can be of interest not only for a researcher but also for a student |
| Beschreibung: | 1 Online-Ressource (xi, 139 p.) |
| ISBN: | 9789812778376 9812778373 |
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| 100 | 1 | |a Simeone, Claudio |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Deparametrization and path integral quantization of cosmological models |c Claudio Simeone |
| 264 | 1 | |a River Edge, N.J. |b World Scientific |c c2001 | |
| 300 | |a 1 Online-Ressource (xi, 139 p.) | ||
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| 490 | 0 | |a World Scientific lecture notes in physics |v v. 69 | |
| 500 | |a Includes bibliographical references (p. 133-135) and index | ||
| 500 | |a Ch. 1. Introduction -- ch. 2. The gravitational field as a constrained Hamiltonian system. 2.1. Momentum and Hamiltonian constraints. 2.2. Minisuperspaces as constrained systems. 2.3. Quantization -- ch. 3. Deparametrization and path integral quantization. 3.1. The identification of time. 3.2. Gauge-invariant action for a parametrized system. 3.3. Path integral. 3.4. Examples -- ch. 4. Homogeneous relativistic cosmologies. 4.1. Isotropic universes. 4.2. Anisotropic universes -- ch. 5. String cosmologies. 5.1. String theory on background fields. 5.2. String cosmological models. 5.3. Path integral quantization -- ch. 6. Canonical quantization. 6.1. Approximate solutions of the Wheeler-DeWitt equation. 6.2. Gauge fixation and Schrodinger equation for isotropic models. 6.3. The Taub universe. 6.4. String cosmologies -- ch. 7. Discussion | ||
| 500 | |a The problem of time is a central feature of quantum cosmology: differing from ordinary quantum mechanics, in cosmology there is nothing "outside" the system which plays the role of clock, and this makes difficult the obtention of a consistent quantization. A possible solution is to assume that a subset of the variables describing the state of the universe can be a clock for the remaining of the system. Following this line, in this book a new proposal consisting in the previous identification of time by means of gauge fixation is applied to the quantization of homogeneous cosmological models. Both path integral and canonical formulations are studied for relativistic and string cosmologies; in particular, a complete chapter about low energy string cosmology is included. The required basic concepts (as for example the Hamiltonian formulation of General Relativity) are reviewed, so that the book can be of interest not only for a researcher but also for a student | ||
| 650 | 7 | |a SCIENCE / Cosmology |2 bisacsh | |
| 650 | 7 | |a Física teórica |2 larpcal | |
| 650 | 7 | |a Gauge invariance |2 fast | |
| 650 | 7 | |a Hamiltonian systems |2 fast | |
| 650 | 7 | |a Path integrals |2 fast | |
| 650 | 7 | |a Quantum gravity |2 fast | |
| 650 | 7 | |a Space and time |2 fast | |
| 650 | 4 | |a Quantum gravity | |
| 650 | 4 | |a Space and time | |
| 650 | 4 | |a Path integrals | |
| 650 | 4 | |a Gauge invariance | |
| 650 | 4 | |a Hamiltonian systems | |
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Datensatz im Suchindex
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| author | Simeone, Claudio |
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| dewey-full | 523.1 |
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| dewey-ones | 523 - Specific celestial bodies and phenomena |
| dewey-raw | 523.1 |
| dewey-search | 523.1 |
| dewey-sort | 3523.1 |
| dewey-tens | 520 - Astronomy and allied sciences |
| discipline | Physik |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:17:54Z |
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| isbn | 9789812778376 9812778373 |
| language | English |
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| spelling | Simeone, Claudio Verfasser aut Deparametrization and path integral quantization of cosmological models Claudio Simeone River Edge, N.J. World Scientific c2001 1 Online-Ressource (xi, 139 p.) txt rdacontent c rdamedia cr rdacarrier World Scientific lecture notes in physics v. 69 Includes bibliographical references (p. 133-135) and index Ch. 1. Introduction -- ch. 2. The gravitational field as a constrained Hamiltonian system. 2.1. Momentum and Hamiltonian constraints. 2.2. Minisuperspaces as constrained systems. 2.3. Quantization -- ch. 3. Deparametrization and path integral quantization. 3.1. The identification of time. 3.2. Gauge-invariant action for a parametrized system. 3.3. Path integral. 3.4. Examples -- ch. 4. Homogeneous relativistic cosmologies. 4.1. Isotropic universes. 4.2. Anisotropic universes -- ch. 5. String cosmologies. 5.1. String theory on background fields. 5.2. String cosmological models. 5.3. Path integral quantization -- ch. 6. Canonical quantization. 6.1. Approximate solutions of the Wheeler-DeWitt equation. 6.2. Gauge fixation and Schrodinger equation for isotropic models. 6.3. The Taub universe. 6.4. String cosmologies -- ch. 7. Discussion The problem of time is a central feature of quantum cosmology: differing from ordinary quantum mechanics, in cosmology there is nothing "outside" the system which plays the role of clock, and this makes difficult the obtention of a consistent quantization. A possible solution is to assume that a subset of the variables describing the state of the universe can be a clock for the remaining of the system. Following this line, in this book a new proposal consisting in the previous identification of time by means of gauge fixation is applied to the quantization of homogeneous cosmological models. Both path integral and canonical formulations are studied for relativistic and string cosmologies; in particular, a complete chapter about low energy string cosmology is included. The required basic concepts (as for example the Hamiltonian formulation of General Relativity) are reviewed, so that the book can be of interest not only for a researcher but also for a student SCIENCE / Cosmology bisacsh Física teórica larpcal Gauge invariance fast Hamiltonian systems fast Path integrals fast Quantum gravity fast Space and time fast Quantum gravity Space and time Path integrals Gauge invariance Hamiltonian systems http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210692 Aggregator Volltext |
| spellingShingle | Simeone, Claudio Deparametrization and path integral quantization of cosmological models SCIENCE / Cosmology bisacsh Física teórica larpcal Gauge invariance fast Hamiltonian systems fast Path integrals fast Quantum gravity fast Space and time fast Quantum gravity Space and time Path integrals Gauge invariance Hamiltonian systems |
| title | Deparametrization and path integral quantization of cosmological models |
| title_auth | Deparametrization and path integral quantization of cosmological models |
| title_exact_search | Deparametrization and path integral quantization of cosmological models |
| title_full | Deparametrization and path integral quantization of cosmological models Claudio Simeone |
| title_fullStr | Deparametrization and path integral quantization of cosmological models Claudio Simeone |
| title_full_unstemmed | Deparametrization and path integral quantization of cosmological models Claudio Simeone |
| title_short | Deparametrization and path integral quantization of cosmological models |
| title_sort | deparametrization and path integral quantization of cosmological models |
| topic | SCIENCE / Cosmology bisacsh Física teórica larpcal Gauge invariance fast Hamiltonian systems fast Path integrals fast Quantum gravity fast Space and time fast Quantum gravity Space and time Path integrals Gauge invariance Hamiltonian systems |
| topic_facet | SCIENCE / Cosmology Física teórica Gauge invariance Hamiltonian systems Path integrals Quantum gravity Space and time |
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