Time Dependent Schrodinger Equations with Vector Potentials--Numerical Calculations and Visualizations
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- Natori Hiroshi
- Faculty of Engineering, Yamanashi University, Takeda, Kofu 400
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- Munehisa Tomo
- Faculty of Engineering, Yamanashi University, Takeda, Kofu 400
書誌事項
- タイトル別名
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- Time Dependent Schroedinger Equations with Vector Potentials. Numerical Calculations and Visualizations.
- Time Dependent Schrodinger Equations wi
- Time Dependent Schrödinger Equations with Vector Potentials - Numerical Calculations and Visualizations -
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抄録
We study algorithm to calculate the time dependent Schrödinger equation numerically and to visualize the results. We extend the product formula by the Trotter-Suzuki decomposition to cases of Hamiltonians with vector potentials. This method is unconditionally stable and it can be used for a time dependent Hamiltonian so that one can apply it to various problems without any difficulty. After examining numerical errors for time evolutions of one dimensional wave packets, we present the errors under a constant magnetic field. Also we discuss a cyclotron motion in quantum mechanics, where an advantage for the unconditional stability is demonstrated. In order to visualize the results we make animations of the time evolutions, where the phase of the wave function is represented by colors and its absolute value is shown by brightness. Here we suggest a new way to represent a complex number by colors.
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 66 (2), 351-359, 1997
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
- 1390282679156467584
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- NII論文ID
- 110001970638
- 210000100500
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1997JPSJ...66..351N
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- ISSN
- 13474073
- 00319015
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- MRID
- 1438214
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- NDL書誌ID
- 4163457
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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