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Carbon nanotubes are a promising candidate for the next generation transistors because of their unique electrical properties. Especially, single wall carbon nanotubes are prototypical low-dimensional nanomaterials because of their specific one dimensional band structure and long carrier mean free path. In this paper, we propose efficient modeling methods and novel quantum propagation schemes to simulate THz response of single wall carbon nanotubes. Simulation are carried out in real-time directly by computing the integral solution of the time-ordered evolution operator. Electron resonance phenomena are observed in a sub-picosecond-scale time domain. Ballistic electron resonance that corresponds to the round-trip transit of an electron along the nanotube is found. Kinetic inductance is also obtained in the simulation. Our simulation results are supported by other theoretical estimates and recent experimental measurements.