TY - JOUR
T1 - Asymptotic equality of the isolated and the adiabatic susceptibility
AU - Valkering, T.P.
AU - Caspers, W.J.
PY - 1974
Y1 - 1974
N2 - Many-particle systems with a hamiltonian of the form H = A + hB, h being a parameter, are discussed. In particular, for a certain class of these systems, a criterion is derived for the asymptotic equality of the isolated and the adiabatic susceptibility or, equivalently, for the ergodicity of B. This criterion states that, for sufficiently large particle number, any hermitian operator polynomial in h of any degree J that commutes with H(h) can be written as a linear combination of the powers H0, …, HJ with polynomial coefficients.
AB - Many-particle systems with a hamiltonian of the form H = A + hB, h being a parameter, are discussed. In particular, for a certain class of these systems, a criterion is derived for the asymptotic equality of the isolated and the adiabatic susceptibility or, equivalently, for the ergodicity of B. This criterion states that, for sufficiently large particle number, any hermitian operator polynomial in h of any degree J that commutes with H(h) can be written as a linear combination of the powers H0, …, HJ with polynomial coefficients.
U2 - 10.1016/0031-8914(74)90379-6
DO - 10.1016/0031-8914(74)90379-6
M3 - Article
VL - 78
SP - 516
EP - 526
JO - Physica
JF - Physica
SN - 0031-8914
IS - 3
ER -