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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Main Authors: Ben Hsiao, 蕭彬
Other Authors: Chiang-Mei Chen
Format: Others
Language:en_US
Published: 2019
Online Access:http://ndltd.ncl.edu.tw/handle/e658r5
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spelling 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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language en_US
format Others
sources NDLTD
description 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.
author2 Chiang-Mei Chen
author_facet Chiang-Mei Chen
Ben Hsiao
蕭彬
author Ben Hsiao
蕭彬
spellingShingle 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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