Analysis of families of strongly commuting self-adjoint operators with applications to perturbed d'Alembertians and Dirac operators 強可換自己共役作用素の族の解析と摂動を受けたダランベールシャン及びディラック作用素への応用
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著者
書誌事項
- タイトル
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Analysis of families of strongly commuting self-adjoint operators with applications to perturbed d'Alembertians and Dirac operators
- タイトル別名
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強可換自己共役作用素の族の解析と摂動を受けたダランベールシャン及びディラック作用素への応用
- 著者名
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冨永, 徳雄
- 著者別名
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トミナガ, ノリオ
- 学位授与大学
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北海道大学
- 取得学位
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博士 (理学)
- 学位授与番号
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甲第3737号
- 学位授与年月日
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1996-03-25
注記・抄録
博士論文
目次
- Contents / p1 (0004.jp2)
- I.Introduction / p2 (0005.jp2)
- Part1 Analysis of Self-adjoint Operators on [数式] and Applications / p8 (0011.jp2)
- II.Operator calculus associated with two vectors in the Minkowski space and essential self-adjointness of a perturbed d'Alembertian / p8 (0011.jp2)
- III.A linear combination of the components of the angular momentum operator in the Minkowski space / p14 (0017.jp2)
- IV.Operator-valued Lorentz transformations / p17 (0020.jp2)
- V.Operator calculus on the self-adjoint operators ax,bp and [数式] / p19 (0022.jp2)
- VI.Integral kernels of the unitary groups generated by perturbed d'Alembertians / p28 (0031.jp2)
- VII.Application to the external field problem / p36 (0039.jp2)
- Part2 Analysis of Self-adjoint Operators on [数式] and Applications / p48 (0051.jp2)
- VIII.Operational calculus in the Minkowski space / p48 (0051.jp2)
- IX.Lorentz transformations and operational calculus / p53 (0056.jp2)
- X.Application to the external field problem for a spin-½ charged particle / p62 (0065.jp2)
- Concluding remark / p71 (0074.jp2)
- XI.A view-point in connection with representation of partially broken canonical com-mutation relations / p71 (0074.jp2)
- References / p72 (0075.jp2)
