TY - JOUR
T1 - Periodic orbits and semiclassical quantization of dispersing billiards
AU - Harayama, T.
AU - Shudo, A.
PY - 1992/12/1
Y1 - 1992/12/1
N2 - Periodic orbits in a dispersing billiard system consisting of three circular arcs are studied numerically by using a partial coding rule together with an efficient method for enumerating periodic orbits on the real billiard plane. By examining several statistical measures, it is shown that the length spectrum and the stability exponents are highly uncorrelated. The validity of the semiclassical trace formula is also tested, and a remarkable agreement of the semiclassical and quantum density of states is obtained at least for about the lower 15 levels.
AB - Periodic orbits in a dispersing billiard system consisting of three circular arcs are studied numerically by using a partial coding rule together with an efficient method for enumerating periodic orbits on the real billiard plane. By examining several statistical measures, it is shown that the length spectrum and the stability exponents are highly uncorrelated. The validity of the semiclassical trace formula is also tested, and a remarkable agreement of the semiclassical and quantum density of states is obtained at least for about the lower 15 levels.
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U2 - 10.1088/0305-4470/25/17/019
DO - 10.1088/0305-4470/25/17/019
M3 - Article
AN - SCOPUS:0009127482
VL - 25
SP - 4595
EP - 4611
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 17
M1 - 019
ER -