Quantum cosmology with conformal scalar field in the Vilenkin theory
We use Vilenkin's method to discuss quantum cosmology with conformal scalar field. The corresponding Wheeler-DeWitt equation is derived and the wave function of the universe is calculated. The matter portion of the solution has the form of eigenstates of harmonic oscillators and the spatial por...
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Veröffentlicht in: | Chinese astronomy and astrophysics 1992-04, Vol.16 (2), p.124-132 |
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creator | HUANG, W E I-H O N G SHEN, Y O U-G E N |
description | We use Vilenkin's method to discuss quantum cosmology with conformal scalar field. The corresponding Wheeler-DeWitt equation is derived and the wave function of the universe is calculated. The matter portion of the solution has the form of eigenstates of harmonic oscillators and the spatial portion is given by the WKB method. An analysis of the cosmic wave function reveals that, when quantum effect is included, the probability density of the universe appearing at
a = 0 is zero and that the most probable radius of the base state of the universe is about one Planck length. The analysis also reveals that the universe is most probably in a state of small ∼φ. |
doi_str_mv | 10.1016/0275-1062(92)90094-R |
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a = 0 is zero and that the most probable radius of the base state of the universe is about one Planck length. The analysis also reveals that the universe is most probably in a state of small ∼φ.</description><subject>Astronomy</subject><subject>Cosmology</subject><subject>Earth, ocean, space</subject><subject>Exact sciences and technology</subject><subject>Origin and formation of the universe</subject><subject>Quantum cosmology-tunnelling wave function of the universe-conformal scalar field</subject><subject>Stellar systems. Galactic and extragalactic objects and systems. The universe</subject><issn>0275-1062</issn><issn>1879-128X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1992</creationdate><recordtype>article</recordtype><recordid>eNp9UE1LxDAUDKLguvoPPPQgoodq0vQjvQiyfsKCuKh4C2-TVzfaNmvSKvvvTdllj8KDx8DMvDdDyDGjF4yy_JImRRYzmidnZXJeUlqm8WyHjJgoypgl4n2XjLaUfXLg_SeltMgzPiI3zz20Xd9EyvrG1vZjFf2abhFgW1nXQB15BTW4qDJY68i0UbfA6M3U2H6tgXWrQ7JXQe3xaLPH5PXu9mXyEE-f7h8n19NYJZx2MaRpAaVAAZBQ4JkCWqHQMBclUggDKDAXupojRcV1OofwNWoOPKEZ03xMTte-S2e_e_SdbIxXWNfQou29TDLBSx5yjUm6JipnvXdYyaUzDbiVZFQOlcmhDzn0IcswQ2VyFmQnG38YUlcOWmX8VpulQcREoF2taRiy_hh00iuDrUJtHKpOamv-v_MHTW-BSQ</recordid><startdate>19920401</startdate><enddate>19920401</enddate><creator>HUANG, W E I-H O N G</creator><creator>SHEN, Y O U-G E N</creator><general>Elsevier B.V</general><general>Pergamon Press</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>19920401</creationdate><title>Quantum cosmology with conformal scalar field in the Vilenkin theory</title><author>HUANG, W E I-H O N G ; SHEN, Y O U-G E N</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c230t-a447a98e8aa20a35ca0fe8dab89e0ae0aae8e68dfbe0ec3d4ba275ed3a32051d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1992</creationdate><topic>Astronomy</topic><topic>Cosmology</topic><topic>Earth, ocean, space</topic><topic>Exact sciences and technology</topic><topic>Origin and formation of the universe</topic><topic>Quantum cosmology-tunnelling wave function of the universe-conformal scalar field</topic><topic>Stellar systems. Galactic and extragalactic objects and systems. The universe</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>HUANG, W E I-H O N G</creatorcontrib><creatorcontrib>SHEN, Y O U-G E N</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Chinese astronomy and astrophysics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>HUANG, W E I-H O N G</au><au>SHEN, Y O U-G E N</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum cosmology with conformal scalar field in the Vilenkin theory</atitle><jtitle>Chinese astronomy and astrophysics</jtitle><date>1992-04-01</date><risdate>1992</risdate><volume>16</volume><issue>2</issue><spage>124</spage><epage>132</epage><pages>124-132</pages><issn>0275-1062</issn><eissn>1879-128X</eissn><abstract>We use Vilenkin's method to discuss quantum cosmology with conformal scalar field. The corresponding Wheeler-DeWitt equation is derived and the wave function of the universe is calculated. The matter portion of the solution has the form of eigenstates of harmonic oscillators and the spatial portion is given by the WKB method. An analysis of the cosmic wave function reveals that, when quantum effect is included, the probability density of the universe appearing at
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source | ScienceDirect Journals (5 years ago - present) |
subjects | Astronomy Cosmology Earth, ocean, space Exact sciences and technology Origin and formation of the universe Quantum cosmology-tunnelling wave function of the universe-conformal scalar field Stellar systems. Galactic and extragalactic objects and systems. The universe |
title | Quantum cosmology with conformal scalar field in the Vilenkin theory |
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