Motion of Energy Levels and Energy Dependent Constants of Motion
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- Steeb W.-H.
- Rand Afrikaans University, Department of Physics
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- Louw J. A.
- Rand Afrikaans University, Department of Physics
書誌事項
- タイトル別名
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- Motion of Energy Levels and Energy Depe
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抄録
From the eigenvalue equation (H0+λV)|Ψn(λ)⟩=En(λ)|Ψn(λ)⟩ one can derive an autonomous system of first order differential equations for the eigenvalues En(λ) and the matrix elements Vmn(λ)=⟨Ψm(λ)|V|Ψn(λ)⟩ where λ is the independent variable. We investigate the case where the Hamiltonian H is given by a finite dimensional symmetric matrix and derive the energy dependent constants of motion. Furthermore we describe the connection with stationary state perturbation theory. Several open questions are also discussed.
収録刊行物
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 56 (9), 3082-3085, 1987
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679164909184
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- NII論文ID
- 210000093535
- 110001976311
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1987JPSJ...56.3082S
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- ISSN
- 13474073
- 00319015
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- MRID
- 914726
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- NDL書誌ID
- 3139407
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可