Quantum Surface of Section Method: Demonstration of semiclassical Berry-Robnik energy level spacing distribution in a generic 2-dim Hamiltonian system
نویسنده
چکیده
The recently developed [12, 14, 24, 15] quantum surface of section method is applied to a search for extremely high-lying energy levels in a simple but generic Hamiltonian system between integrability and chaos, namely the semiseparable 2dim oscillator. Using the stretch of 13,445 consecutive levels with the sequential number around 1.8 ·107 (eighteen million) we have clearly demonstrated the validity of the semiclassical Berry-Robnik [3] level spacing distribution while at 1000 times smaller sequential quantum numbers we find the very persistent quasi universal phenomenon of power-law level repulsion [19, 21] which is globally very well described by the Brody distribution. PACS numbers: 03.65.Ge, 05.45.+b Submitted to Journal of Physics A: Mathematical and General e-mail: [email protected]
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