極座標表示による無限次元調和振動子の解析
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概要
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We study the Schrodinger equation of the D dimensional harmonic oscillator in the polar coordinate representation, and derive the full set of eigen-functions of both the energy and angular momentum by the raising and lowering operator method. In the limit of infinite dimension, we find that all the zero-points of each radial part of the eigen-function are accumulated around a certain point.
- 2004-03-01