Dynamics, stability analysis and quantization of 𝛽-Fermi–Pasta–Ulam lattice

Pramana

Sudhir R Jain²  Rupali L Sonone1¹ 

[1] Department of Physics, University of Pune, Pune 411 007, India$$;Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400 085, India$$

关键词: Phonon;    Fermi–Pasta–Ulam lattice;    Floquet theory;    semiclassical quantization.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We study the well-known one-dimensional problem of 𝑁 particles with nonlinear interaction. The 𝛽-Fermi–Pasta–Ulam model is the special case of quadratic and quartic interaction potential among nearest neighbours. We enumerate and classify the simple periodic orbits for this system and find the stability zones, employing Floquet theory. We quantize the nonlinear normal modes and construct a wavefunction for what we believe is a primitive nonlinear analogue of a `phonon’.

【 授权许可】

Unknown