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  <doc>
    <id>1180</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation>Brock University, St.Catharines, Canada and ZIB Fellow; Moscow State University</contributingCorporation>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2010-07-07</completedDate>
    <publishedDate>2010-07-07</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Classification of integrable quadratic Hamiltonians on e(3)</title>
    <abstract language="eng">Linear Poisson brackets on e(3) typical of rigid body dynamics are considered. All quadratic Hamiltonians of Kowalevski type having additional first integral of fourth degree are found. Quantum analogs of these Hamiltonians are listed.</abstract>
    <identifier type="serial">10-18</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">1241</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-11807</identifier>
    <enrichment key="SourceTitle">Appeared in: Regular and Chaotic Dynamics, vol 8, no 2 (2003), p 155-162</enrichment>
    <author>Thomas Wolf</author>
    <submitter>unknown unknown</submitter>
    <author>Olya V. Efimovskaya</author>
    <series>
      <title>ZIB-Report</title>
      <number>10-18</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Linear Poisson brackets on e(3)</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>rigid body dynamics</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Kowalevski type Hamiltonians</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>first integrals</value>
    </subject>
    <collection role="ddc" number="510">Mathematik</collection>
    <collection role="pacs" number="02.40.Yy">Geometric mechanics (see also 45.20.Jj in formalisms in classical mechanics)</collection>
    <collection role="pacs" number="02.70.Wz">Symbolic computation (computer algebra)</collection>
    <collection role="msc" number="37J35">Completely integrable systems, topological structure of phase space, integration methods</collection>
    <collection role="msc" number="37K05">Hamiltonian structures, symmetries, variational principles, conservation laws</collection>
    <collection role="msc" number="37N15">Dynamical systems in solid mechanics [See mainly 74Hxx]</collection>
    <collection role="institutes" number="sis">Digital Data and Information for Society, Science, and Culture</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1180/ZR_10_18.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/1180/ZR_10_18.ps</file>
  </doc>
</export-example>
