Time Dependent Schrodinger Equations with Vector Potentials:Numerical Calculations and Visualizations
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概要
- 論文の詳細を見る
We study algorithm to calculate the tinae dependent Schr6dinger equation nvrmerically and tovisualize the results. We extend the product formula by the 'h'otter-Strzuki decomposition tocases of Hamiltonians with vector potentials. This method is trnconditionally stable and it can beused for a tirne dependent Hamiltonian so that one can apply it to various problems without anydifficulty. After examining numerical errors for time evolutions of one dimensional wave packets,we present the errors trnder a constant magnetic field. Also we disctrss a cyclotron motion inquantum naechanics, where an advantage for the unconditional stability is demonstrated. Inorder to visualize the restmlts we rnake aniumations of the time evolutions, where the phase of thewave function is represented by colors and its absolute value is shown by brightness. Here wesuggest a new way to represent a complex nuraaber by colors.
- 1997-02-15
著者
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Natori Hiroshi
Faculty Of Engineering Yamanashi University
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MUNEHISA Tomo
Faculty of Engineering, Yamanashi University
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Munehisa Tomo
Faculty Of Engineering University Of Yamanashi
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Munehisa Tomo
Faculty of Engineering,Yamanashi University
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