• Corpus ID: 116918135

A Physical Approach to Polya's Conjecture

  title={A Physical Approach to Polya's Conjecture},
  author={Jingbo Wang},
  journal={arXiv: Mathematical Physics},
  • Jingbo Wang
  • Published 3 January 2011
  • Mathematics
  • arXiv: Mathematical Physics
The similarity between the Polya's conjecture and the Bonomol'nyi bound remind us to consider a physical approach to Polya's conjecture. We conjecture a duality between the waves and the soliton solutions on the surface. We consider the special case in the disc. 



Topological solitons II: CP1 s-model

Wecontinue our study of classical topological solitons in nonlinear sigma models, focusing on the stability and scattering properties of the CP1 model on the plane

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  • L. Faddeev
  • Physics
    Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2001
A nonlinear model in three–dimensional space allowing for the solitons localized in the vicinity of a loop is presented. Two possible applications in real physics are discussed.

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AbstractIf λk is thekth eigenvalue for the Dirichlet boundary problem on a bounded domain in ℝn, H. Weyl's asymptotic formula asserts that $$\lambda _k \sim C_n \left( {\frac{k}{{V(D)}}}