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

SN - 0031-8914

VL - 78

SP - 516

EP - 526

JO - Physica

JF - Physica

IS - 3

ER -