Pair Production in Charged Black Holes Admitting Heun-to-Hypergeometric Reduction
博士 === 國立中央大學 === 物理學系 === 107 === The general solutions to Klein-Gordon equation in Reissner-Nordstrom black holes are confluent Heun function. However, in order to compute pair production in such system, turning the solution into hypergeometric function is more convenient and necessary due to our...
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ndltd-TW-107NCU051980192019-10-24T05:20:20Z http://ndltd.ncl.edu.tw/handle/e658r5 Pair Production in Charged Black Holes Admitting Heun-to-Hypergeometric Reduction Ben Hsiao 蕭彬 博士 國立中央大學 物理學系 107 The general solutions to Klein-Gordon equation in Reissner-Nordstrom black holes are confluent Heun function. However, in order to compute pair production in such system, turning the solution into hypergeometric function is more convenient and necessary due to our good understanding of hypergeometric function and lack of understanding of Heun function. In mathematics and physics literature, there are studies about Heun-to-hypergeometric reduction. In this thesis, we analyze the simplest reduction applied to pair production in RN background. Chiang-Mei Chen 陳江梅 2019 學位論文 ; thesis 26 en_US |
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博士 === 國立中央大學 === 物理學系 === 107 === The general solutions to Klein-Gordon equation in Reissner-Nordstrom black holes are confluent Heun function. However, in order to compute pair production in such system, turning the solution into hypergeometric function is more convenient and necessary due to our good understanding of hypergeometric function and lack of understanding of Heun function. In mathematics and physics literature, there are studies about Heun-to-hypergeometric reduction. In this thesis, we analyze the simplest reduction applied to pair production in RN background.
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Chiang-Mei Chen |
author_facet |
Chiang-Mei Chen Ben Hsiao 蕭彬 |
author |
Ben Hsiao 蕭彬 |
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Ben Hsiao 蕭彬 Pair Production in Charged Black Holes Admitting Heun-to-Hypergeometric Reduction |
author_sort |
Ben Hsiao |
title |
Pair Production in Charged Black Holes Admitting Heun-to-Hypergeometric Reduction |
title_short |
Pair Production in Charged Black Holes Admitting Heun-to-Hypergeometric Reduction |
title_full |
Pair Production in Charged Black Holes Admitting Heun-to-Hypergeometric Reduction |
title_fullStr |
Pair Production in Charged Black Holes Admitting Heun-to-Hypergeometric Reduction |
title_full_unstemmed |
Pair Production in Charged Black Holes Admitting Heun-to-Hypergeometric Reduction |
title_sort |
pair production in charged black holes admitting heun-to-hypergeometric reduction |
publishDate |
2019 |
url |
http://ndltd.ncl.edu.tw/handle/e658r5 |
work_keys_str_mv |
AT benhsiao pairproductioninchargedblackholesadmittingheuntohypergeometricreduction AT xiāobīn pairproductioninchargedblackholesadmittingheuntohypergeometricreduction |
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1719276918503636992 |