TY - JOUR
T1 - Chaotic wave functions and exponential convergence of low-lying energy eigenvalues
AU - Horoi, Mihai
AU - Volya, Alexander
AU - Zelevinsky, Vladimir
PY - 1999
Y1 - 1999
N2 - We suggest that low-lying eigenvalues of realistic many-body Hamiltonians, given, as in the nuclear shell model, by large matrices, can be calculated by the diagonalization of truncated matrices with the exponential extrapolation of the results. We show numerical data confirming this conjecture. We argue that the exponential convergence may be a generic feature of complex systems where the wave functions are localized in an appropriate basis.
AB - We suggest that low-lying eigenvalues of realistic many-body Hamiltonians, given, as in the nuclear shell model, by large matrices, can be calculated by the diagonalization of truncated matrices with the exponential extrapolation of the results. We show numerical data confirming this conjecture. We argue that the exponential convergence may be a generic feature of complex systems where the wave functions are localized in an appropriate basis.
UR - http://www.scopus.com/inward/record.url?scp=0001318477&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.82.2064
DO - 10.1103/PhysRevLett.82.2064
M3 - Article
AN - SCOPUS:0001318477
VL - 82
SP - 2064
EP - 2067
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 10
ER -