Перегляд за автором "Smilga, A.V."

Сортувати за: Порядок: Результатів:

  • Comments on the Dynamics of the Pais-Uhlenbeck Oscillator 
    Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We discuss the quantum dynamics of the PU oscillator, i.e. the system with the Lagrangian L = ½ [ ¨q² - (Ω₁² + Ω₂²) ·q² + Ω₁²Ω₂²q ] (+ nonlinear terms). When Ω₁ ≠ Ω₂, the free PU oscillator has a pure point spectrum ...
  • Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses 
    Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    S⁴ is not a complex manifold, but it is sufficient to remove one point to make it complex. Using supersymmetry methods, we show that the Dolbeault complex (involving the holomorphic exterior derivative ∂ and its Hermitian ...
  • Quasicomplex N=2, d=1 Supersymmetric Sigma Models 
    Ivanov, E.A.; Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We derive and discuss a new type of N=2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1,2,1) multiplets is modified by adding an imaginary antisymmetric tensor to the target ...
  • Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds 
    Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We present the proof of the HRR theorem for a generic complex compact manifold by evaluating the functional integral for the Witten index of the appropriate supersymmetric quantum mechanical system.