Method of generating functional for non-equilibrium statistical mechanics 非平衡統計力学における母関数の方法

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著者

    • 角野, 雅芳 スミノ, マサヨシ

書誌事項

タイトル

Method of generating functional for non-equilibrium statistical mechanics

タイトル別名

非平衡統計力学における母関数の方法

著者名

角野, 雅芳

著者別名

スミノ, マサヨシ

学位授与大学

慶應義塾大学

取得学位

理学博士

学位授与番号

甲第1163号

学位授与年月日

1992-03-05

注記・抄録

博士論文

目次

  1. 論文目録 / p72 (0001.jp2)
  2. Abstract / (0004.jp2)
  3. Contents / (0005.jp2)
  4. Chapter I.Introduction / p1 (0009.jp2)
  5. Chapter II.Generating Functional Method-W[J₁,J₂]with Arbitrary Initial State- / p5 (0013.jp2)
  6. II-1.Introduction / p5 (0013.jp2)
  7. II-2.Definition of W[J₁,J₂]-N degrees of freedom- / p8 (0016.jp2)
  8. II-3.Path integral representation of W[J₁,J₂] / p9 (0017.jp2)
  9. II-4.Diagrammatical perturbative expression of W[J₁,J₂]in the Wigner representation / p10 (0018.jp2)
  10. II-5.The factor ℏ and N in W[J₁,J2] / p13 (0021.jp2)
  11. Appendix II-A.W₀[J₁,J₂]of the harmonic oscillators / p15 (0023.jp2)
  12. Appendix II-B.The loop factor[数式] / p18 (0026.jp2)
  13. Chapter III.Classical Limit of the Generating Functional / p20 (0028.jp2)
  14. III-l.Introduction / p20 (0028.jp2)
  15. III-2.Path integral representation of [数式] / p22 (0030.jp2)
  16. III-3.Classical statistical generating functional [数式]-Stationary phase argument- / p23 (0031.jp2)
  17. III-4.Classical limit of the Green's functions / p25 (0033.jp2)
  18. III-5.Classical effective action -Legendre transformation- / p28 (0036.jp2)
  19. III-6.Diagrammatical derivation of [数式]-N degrees of freedom- / p30 (0038.jp2)
  20. Appendix III-A.Classical limit of [数式] / p32 (0040.jp2)
  21. Chapter IV.Macroscopic Limit of the Generating Functional-Stationary Phase Argument- / p34 (0042.jp2)
  22. IV-1.Introduction / p34 (0042.jp2)
  23. IV-2.Definition of the macrovariable / p36 (0044.jp2)
  24. IV-3.Definition of [数式] / p37 (0045.jp2)
  25. IV-4.Compact form of [数式] and [数式] / p39 (0047.jp2)
  26. IV-5.Stationary phase / p40 (0048.jp2)
  27. Appendix IV-A.Difference between [数式]and [数式] / p44 (0052.jp2)
  28. Chapter V.Diagrammatical Rule of [数式]in Wigner Representation and its Compact Expression -Some Examples- / p46 (0054.jp2)
  29. V-l.Introduction / p46 (0054.jp2)
  30. V-2.General expression of [数式] / p47 (0055.jp2)
  31. V-3.Macrovariable linear in q-center of mass- / p51 (0059.jp2)
  32. V-4.Macrovariable quadratic in q / p53 (0061.jp2)
  33. V-5.Examples of the equation of motion of the macrovariable / p55 (0063.jp2)
  34. Appendix V-A.Formula of the average over [数式] in(V-2.11) / p60 (0068.jp2)
  35. Appendix V-B.Damping equation / p60 (0068.jp2)
  36. Appendix V-C.Diagrammatical rule of [数式] / p61 (0069.jp2)
  37. Appendix V-D.Frequency modulation / p64 (0072.jp2)
  38. Chapter VI.Diagrammatical Rule of the Non-Equilibrium Processes-Equilibrium Initial State- / p66 (0074.jp2)
  39. VI-1.Introduction / p66 (0074.jp2)
  40. VI-2.Co-ordinate representation / p68 (0076.jp2)
  41. VI-3.The contour integral / p74 (0082.jp2)
  42. VI-4.Expectation value of the arbitrary operator / p76 (0084.jp2)
  43. VI-5.The classical limit / p77 (0085.jp2)
  44. VI-6.Dissipation-continuous distribution of ω / p79 (0087.jp2)
  45. VI-7.Coherent state representation / p81 (0089.jp2)
  46. Chapter VII.Applications of the Rule with Equilibrium Initial State-A Model Calculation- / p86 (0094.jp2)
  47. VII-1.Introduction / p86 (0094.jp2)
  48. VII-2.The model-A simple field theoretical macroscopic system- / p88 (0096.jp2)
  49. VII-3.Dissipation through inversion method / p91 (0099.jp2)
  50. VII-4.Energy of the system / p100 (0108.jp2)
  51. VII-5.Temperature shift / p102 (0110.jp2)
  52. VII-6.Adiabatic temperature shift and level shift / p104 (0112.jp2)
  53. Chapter VIII.Discussion / p107 (0115.jp2)
  54. List of Papers and References of each Chapter / p111 (0119.jp2)
  55. Acknowledgements / p114 (0122.jp2)
  56. Figures and Figure Captions of each Chapter / p115 (0123.jp2)
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各種コード

  • NII論文ID(NAID)
    500000087802
  • NII著者ID(NRID)
    • 8000000088019
  • DOI(NDL)
  • NDL書誌ID
    • 000000252116
  • データ提供元
    • NDL-OPAC
    • NDLデジタルコレクション
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