A one-particle potential integrable on a family of quadrics (Q1060878)
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scientific article; zbMATH DE number 3909812
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A one-particle potential integrable on a family of quadrics |
scientific article; zbMATH DE number 3909812 |
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A one-particle potential integrable on a family of quadrics (English)
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1985
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It is shown that one particle in the potential (1-\(\sum^{n}_{k=1}q^ 2_ k/a_ k)^{-1}\) is completely integrable and n independent rational integrals in involution are found. The restriction of this system to any quadric \(\sum^{n}_{k=1}q^ 2_ k/(a_ k-z)=1\) is integrable too. The system is separable in generalized elliptic coordinates.
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restriction to quadric
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hidden symmetry
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separability of Hamilton-Jacobi equation
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complete integrability
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independent rational integrals in involution
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generalized elliptic coordinates
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