Semiclassical trace formulas in terms of phase space path integrals 位相空間経路積分による半古典トレース公式
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著者
書誌事項
- タイトル
-
Semiclassical trace formulas in terms of phase space path integrals
- タイトル別名
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位相空間経路積分による半古典トレース公式
- 著者名
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杉田, 歩
- 著者別名
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スギタ, アユム
- 学位授与大学
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京都大学
- 取得学位
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博士 (理学)
- 学位授与番号
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甲第8140号
- 学位授与年月日
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2000-03-23
注記・抄録
博士論文
目次
- 論文目録 / (0001.jp2)
- Abstract / p2 (0004.jp2)
- Contents / p3 (0005.jp2)
- 1 Introduction / p5 (0007.jp2)
- 2 Path integral and stationary phase approximation / p8 (0010.jp2)
- 2.1 Path integral representation of the partition function / p8 (0010.jp2)
- 2.2 Stationary phase approximation / p9 (0011.jp2)
- 2.3 Relation between Maslov index and Morse index / p12 (0014.jp2)
- 3 General treatment of quadratic path integrals / p14 (0016.jp2)
- 3.1 Quadratic path integrals / p14 (0016.jp2)
- 3.2 Outline of the discussion / p15 (0017.jp2)
- 3.3 Canonical transformations for quadratic path integrals / p18 (0020.jp2)
- 3.4 Curves on Sp(2n.R) / p22 (0024.jp2)
- 3.5 Normal forms of quadratic Hamiltonians / p28 (0030.jp2)
- 3.6 Absolute values and Maslov indices of quadratic path integrals / p32 (0034.jp2)
- 3.7 Repetitions of a orbit / p34 (0036.jp2)
- 4 Trace of the resolvent operator / p36 (0038.jp2)
- 4.1 Integration with respect to zero-modes / p36 (0038.jp2)
- 4.2 Fourie transformation to the energy region / p37 (0039.jp2)
- 4.3 Sum over repetitions / p38 (0040.jp2)
- 5 Conclusion / p41 (0043.jp2)
- A Calculations of diagonal elements in the continuum limit / p43 (0045.jp2)
- A.1 Diagonalization of D / p43 (0045.jp2)
- A.2 Diagonalization of D / p43 (0045.jp2)
- B Direct calculations of some path integrals / p50 (0052.jp2)
- B.1 Elliptic type / p50 (0052.jp2)
- B.2 Hyperbolic type / p52 (0054.jp2)
- B.3 Inverse hyperbolic type / p52 (0054.jp2)
- B.4 Loxodromic type / p54 (0056.jp2)
- B.5 Parabolic type / p54 (0056.jp2)
- C Useful formulas / p56 (0058.jp2)
- Periodic-Orbit Bifurcation and Shell Structure in Reflection-Asymmetric Deformed Cavity / p597 (0079.jp2)
- Semiclassical Origin of Superdeformed Shell Structure in the Spheroidal Cavity Model / p1223 (0090.jp2)
