Solution of the time-dependent Schrödinger equation for highly symmetric potentials (Q1573071)

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scientific article; zbMATH DE number 1485017
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Solution of the time-dependent Schrödinger equation for highly symmetric potentials
scientific article; zbMATH DE number 1485017

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    Solution of the time-dependent Schrödinger equation for highly symmetric potentials (English)
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    16 July 2001
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    The authors introduce the method of symmetry adapted wavepackets to solve the time-dependent Schrödinger equation for a highly symmetry potential energy surface. Various techniques to generate symmetry adapted spherical harmonics for the point groups of highest symmetry (octahedral, icosahedral) are discussed. Two methods to overcome numerical instabilities occuring for large azimuthal quantum numbers are suggested.
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    time dependent Schrödinger equation
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    highly symmetric potentials
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    symmetry adapted wave packets
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    stability
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    spherical harmonics
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