Deparametrization and path integral quantization of cosmological models /:
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...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
River Edge, N.J. :
World Scientific,
©2001.
|
| Schriftenreihe: | World Scientific lecture notes in physics ;
v. 69. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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 resource (xi, 139 pages) |
| Bibliographie: | Includes bibliographical references (pages 133-135) and index. |
| ISBN: | 9789812778376 9812778373 |
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| 505 | 0 | |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. | |
| 520 | |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. | ||
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| 650 | 0 | |a Space and time. |0 http://id.loc.gov/authorities/subjects/sh85125911 | |
| 650 | 0 | |a Path integrals. |0 http://id.loc.gov/authorities/subjects/sh85067112 | |
| 650 | 0 | |a Gauge invariance. |0 http://id.loc.gov/authorities/subjects/sh85053535 | |
| 650 | 0 | |a Hamiltonian systems. |0 http://id.loc.gov/authorities/subjects/sh85058563 | |
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| contents | 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. |
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| id | ZDB-4-EBA-ocn212629452 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:16:18Z |
| institution | BVB |
| isbn | 9789812778376 9812778373 |
| language | English |
| oclc_num | 212629452 |
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| series | World Scientific lecture notes in physics ; |
| series2 | World Scientific lecture notes in physics ; |
| spelling | Simeone, Claudio. Deparametrization and path integral quantization of cosmological models / Claudio Simeone. River Edge, N.J. : World Scientific, ©2001. 1 online resource (xi, 139 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier World Scientific lecture notes in physics ; v. 69 Includes bibliographical references (pages 133-135) and index. Print version record. 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. Quantum gravity. http://id.loc.gov/authorities/subjects/sh85109463 Space and time. http://id.loc.gov/authorities/subjects/sh85125911 Path integrals. http://id.loc.gov/authorities/subjects/sh85067112 Gauge invariance. http://id.loc.gov/authorities/subjects/sh85053535 Hamiltonian systems. http://id.loc.gov/authorities/subjects/sh85058563 Gravité quantique. Intégrales de chemin. Invariance de jauge. Systèmes hamiltoniens. SCIENCE Cosmology. bisacsh Gauge invariance fast Hamiltonian systems fast Path integrals fast Quantum gravity fast Space and time fast Física teórica. larpcal has work: Deparametrization and path integral quantization of cosmological models (Text) https://id.oclc.org/worldcat/entity/E39PCGMJVXybDPqX9WVRFJr7wP https://id.oclc.org/worldcat/ontology/hasWork Print version: Simeone, Claudio. Deparametrization and path integral quantization of cosmological models. River Edge, N.J. : World Scientific, ©2001 9810247419 9789810247416 (DLC) 2005297534 (OCoLC)50016613 World Scientific lecture notes in physics ; v. 69. FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210692 Volltext |
| spellingShingle | Simeone, Claudio Deparametrization and path integral quantization of cosmological models / World Scientific lecture notes in physics ; 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. Quantum gravity. http://id.loc.gov/authorities/subjects/sh85109463 Space and time. http://id.loc.gov/authorities/subjects/sh85125911 Path integrals. http://id.loc.gov/authorities/subjects/sh85067112 Gauge invariance. http://id.loc.gov/authorities/subjects/sh85053535 Hamiltonian systems. http://id.loc.gov/authorities/subjects/sh85058563 Gravité quantique. Intégrales de chemin. Invariance de jauge. Systèmes hamiltoniens. SCIENCE Cosmology. bisacsh Gauge invariance fast Hamiltonian systems fast Path integrals fast Quantum gravity fast Space and time fast Física teórica. larpcal |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85109463 http://id.loc.gov/authorities/subjects/sh85125911 http://id.loc.gov/authorities/subjects/sh85067112 http://id.loc.gov/authorities/subjects/sh85053535 http://id.loc.gov/authorities/subjects/sh85058563 |
| 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 | Quantum gravity. http://id.loc.gov/authorities/subjects/sh85109463 Space and time. http://id.loc.gov/authorities/subjects/sh85125911 Path integrals. http://id.loc.gov/authorities/subjects/sh85067112 Gauge invariance. http://id.loc.gov/authorities/subjects/sh85053535 Hamiltonian systems. http://id.loc.gov/authorities/subjects/sh85058563 Gravité quantique. Intégrales de chemin. Invariance de jauge. Systèmes hamiltoniens. SCIENCE Cosmology. bisacsh Gauge invariance fast Hamiltonian systems fast Path integrals fast Quantum gravity fast Space and time fast Física teórica. larpcal |
| topic_facet | Quantum gravity. Space and time. Path integrals. Gauge invariance. Hamiltonian systems. Gravité quantique. Intégrales de chemin. Invariance de jauge. Systèmes hamiltoniens. SCIENCE Cosmology. Gauge invariance Hamiltonian systems Path integrals Quantum gravity Space and time Física teórica. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210692 |
| work_keys_str_mv | AT simeoneclaudio deparametrizationandpathintegralquantizationofcosmologicalmodels |