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Gutzwillers Semiclassical Trace Formula and Maslov-Type Index Theory for Symplectic Paths

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 نشر من قبل Shanzhong Sun
 تاريخ النشر 2016
  مجال البحث
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 تأليف Shanzhong Sun




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Gutzwillers famous semiclassical trace formula plays an important role in theoretical and experimental quantum mechanics with tremendous success. We review the physical derivation of this deep periodic orbit theory in terms of the phase space formulation with an view towards the Hamiltonian dynamical systems. The Maslov phase appearing in the trace formula is clarified by Meinrenken as Conley-Zhender index for periodic orbits of Hamiltonian systems. We also survey and compare vario


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