TY - JOUR
T1 - Quantum eigenfunctions in terms of periodic orbits of chaotic systems
AU - Agam, O.
AU - Fishman, S.
PY - 1993
Y1 - 1993
N2 - A resummed formula for the Wigner function, corresponding to an eigenfunction of a chaotic system, in terms of periodic orbits, is developed. The infinite sum over periodic orbits is effectively truncated with the help of an extension of a method that was applied to the spectral determinant by Berry and Keating (1992). In principle, the formula enables the computation of eigenstates and the probability density of wavefunctions from classical periodic orbits. The conditions for appearance of 'scars' are discussed.
AB - A resummed formula for the Wigner function, corresponding to an eigenfunction of a chaotic system, in terms of periodic orbits, is developed. The infinite sum over periodic orbits is effectively truncated with the help of an extension of a method that was applied to the spectral determinant by Berry and Keating (1992). In principle, the formula enables the computation of eigenstates and the probability density of wavefunctions from classical periodic orbits. The conditions for appearance of 'scars' are discussed.
UR - http://www.scopus.com/inward/record.url?scp=36149036964&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/26/9/010
DO - 10.1088/0305-4470/26/9/010
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AN - SCOPUS:36149036964
SN - 0305-4470
VL - 26
SP - 2113
EP - 2137
JO - Journal of Physics A: General Physics
JF - Journal of Physics A: General Physics
IS - 9
M1 - 010
ER -