The Number of Levels of a Fermion System in a Parabolic Potential

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概要

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• The grand partition function specified by the total particle number, the z-component of the total angular momentum and the total energy of a fermion system composed of particles moving independently in a central potential field is set up and evaluated approximately for a parabolic potential field. The distribution of the number of levels with respect to the z-component of the total angular momentum is found to be Gaussian with the dispersion roughly proportional to the four thirds power of the total number.

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著者

• 岩田 義一

  Department Of Physics Faculty Of Science Ochanomizu University

• 松下 直代

  Department of Physics, Faculty of Science, Ochanomizu University

• 松下 直代

  Department Of Physics Faculty Of Science Ochanomizu University

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• The Level Density of a Fermion System in a Parabolic Potential II
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• Approximate Formulas for the Mean Value of a Function over a Tetrahedron
• An Approximate Method for Evaluating a Class of Partition Functions
• The Number of Levels of a Fermion System in a Parabolic Potential
• Empty Spaces of Staeckel
• Evaluation of the Watson Integral of a Face-centered Lattice

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