[3H06-09] Microscopic Analysis

[3H09] High precision calculation of heavy-ion collisions based on the spectral method II

*Yoritaka Iwata¹, Yasuhiro Takei², Tianshu Chu³, Biheng Li⁴ (1. Tokyo Institute of Technology, 2. Mizuho Information and Research Institute, 3. Chiba University, 4. Shibaura Institute of Technology)

Keywords:Fourier spectral method, time-dependent Klein-Gordon equation, special relativity, fractional power type nonlinear interaction

The competition between the relativistic effect and the nonlinearity is discussed based on nonlinear Klein-Gordon equations. Much attention is paid to the fractional power type nonlinear interaction term. In this talk we present the method of calculating fractional powers of nonlinearity with high-precision Foureir spectral method.