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Jacobi and Kepler families of integrable potentials
2004 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

The method of separation of variables applied to natural Hamiltonian systems and to the Schrödinger equation is the most successful way of solving concrete examples in classical and quantum mechanics. An algebraic form of a separable potential is well known in the separation variables, but can not be explicitly expressed in terms of Cartesian coordinates because there are no algebraic formulas for roots of an nth order polynomial equation. In this work we use methods of theory of quasipotential Newton equations to determine Cartesian forms of separable potentials related to the Jacobi family of separable potentials and to the Kepler problem. We use recursion and multiplication formulas to find new separable potentials.

Place, publisher, year, edition, pages
2004.
Keyword [en]
Technology, Jacobi, Kepler, separable potentials
Keyword [sv]
Teknik
Identifiers
URN: urn:nbn:se:ltu:diva-52052ISRN: LTU-EX--04/066--SELocal ID: 934497aa-6dbf-48a1-b43d-c00ab5419c79OAI: oai:DiVA.org:ltu-52052DiVA: diva2:1025418
Subject / course
Student thesis, at least 30 credits
Educational program
Engineering Physics, master's level
Examiners
Note
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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