TY - JOUR
T1 - Quantum statistics of a kicked particle in an infinite potential well
AU - Kilbane, D.
AU - Cummings, A.
AU - O'Sullivan, G.
AU - Heffernan, D. M.
N1 - Funding Information:
This work was supported by the Irish Science and Technology Agency Enterprise Ireland under research grant SC/99/206.
PY - 2006/10
Y1 - 2006/10
N2 - It is known that no one statistical test by itself can give conclusive evidence for the presence or absence of quantum chaos within a given system. For this reason a range of detailed tests, namely the nearest neighbour spacing distribution, covariance of adjacent spacings, spectral rigidity, correlation-hole method and inverse participation ratio have been applied to the quasienergies and quasieigenstates of a periodically kicked particle in a 1-D infinite potential well. The results are compared with the predictions of random matrix theory for various kick strengths in order to search for signatures of quantum chaos within this system.
AB - It is known that no one statistical test by itself can give conclusive evidence for the presence or absence of quantum chaos within a given system. For this reason a range of detailed tests, namely the nearest neighbour spacing distribution, covariance of adjacent spacings, spectral rigidity, correlation-hole method and inverse participation ratio have been applied to the quasienergies and quasieigenstates of a periodically kicked particle in a 1-D infinite potential well. The results are compared with the predictions of random matrix theory for various kick strengths in order to search for signatures of quantum chaos within this system.
UR - http://www.scopus.com/inward/record.url?scp=33646760281&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2006.01.010
DO - 10.1016/j.chaos.2006.01.010
M3 - Article
AN - SCOPUS:33646760281
VL - 30
SP - 412
EP - 423
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
SN - 0960-0779
IS - 2
ER -