RT Journal Article
T1 Spectral statistics of Hamiltonian matrices in tridiagonal form
A1 Relaño Pérez, Armando
A1 Molina, R. A.
A1 Zuker, A. P.
A1 Retamosa Granado, Joaquín
AB When a matrix is reduced to Lanczos tridiagonal form, its matrix elements can be divided into an analytic smooth mean value and a fluctuating part. The next-neighbor spacing distribution P(s) and the spectral rigidity Delta _(3) are shown to be universal functions of the average value of the fluctuating part. It is explained why the behavior of these quantities suggested by random matrix theory is valid in far more general cases.
PB American Physical Society
SN 0556-2813
YR 2005
FD 2005-06
LK https://hdl.handle.net/20.500.14352/51283
UL https://hdl.handle.net/20.500.14352/51283
LA eng
NO ©2005 The American Physical Society. We thank Oriol Bohigas for enlightening discussions. This work is supported in part by Spanish government grants BFM2000-0600 and FTN2000-0963-C02. R. A. Molina acknowledges financial support from the European Unions Human Potential Program (contract no. HPRN-CT-200000144).
NO Spanish Government
NO European Unions Human Potential Program
DS Docta Complutense
RD 10 abr 2025