A one-particle potential integrable on a family of quadrics

✍ Scribed by Stefan Wojciechowski

• Publisher: Springer
• Year: 1985
• Tongue: English
• Weight: 227 KB
• Volume: 9
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00402833

✦ Synopsis

Alrstraet. It is shown that one particle in the potential (1 -Z~,. ~ q~/ak)-l is completely integrable and n independent rational integrals in involution are found. The restriction of this system to any quadric Z~= ~ q~/(a k -z) = 1 is integrable too. The system is separable in generalized elliptic coordinates.