On convergence conditions of the order dependent mapping 次数依存写像法の収束条件について
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Author
Bibliographic Information
- Title
-
On convergence conditions of the order dependent mapping
- Other Title
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次数依存写像法の収束条件について
- Author
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田中, 敏晶
- Author(Another name)
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タナカ, トシアキ
- University
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筑波大学
- Types of degree
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博士 (理学)
- Grant ID
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甲第2067号
- Degree year
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1999-03-25
Note and Description
博士論文
We investigate convergence conditions for a special class of order dependent mappings which is well known to work for the zero dimensional and quantum mechanical(quartic) anharmonic oscillators. We estimate large order behavior of the resummed series directly and determine under what conditions the series converge or diverge. From the comparison of the present results with the previously established sufficient conditions by other authors, we clarify the origin of the each condition and of the differences between the results. To examine a controversial problem, we investgate the O-dimensional model in view of the realization of the coefficients of the strong coupling expansion.
1998
Table of Contents
- Abstract / (0003.jp2)
- Contents / p1 (0004.jp2)
- 1 Introduction / p2 (0005.jp2)
- 2 Order dependent mappings / p13 (0016.jp2)
- 3 Analyses of convergence conditions / p17 (0020.jp2)
- 4 Strong coupling expansions / p27 (0030.jp2)
- 5 Illustrations on zero-dimensional models / p32 (0035.jp2)
- 6 The δ expansion and its limitations / p42 (0045.jp2)
- 7 Discussion and summary / p47 (0050.jp2)
- A The optimization conditions / p51 (0054.jp2)
- B The convergence condition at the boundary / p54 (0057.jp2)
