Applications of CSM Theory

Abstract

We will now proceed to discuss some recent applications of the present description of quantum correlation effects of disordered condensed matter using the theoretical development in the previous Chapter, i.e. in terms of coherent dissipative structures. The present view-point has led to the study of resonances in quantum chemistry, e.g. in atomic, molecular and solid state theory but recent emphasis on collective non-linear effects has produced many new surprising and unexpected applications to physical chemistry and the physics of disordered condensed matter. Predictions and theoretical interpretations have been made, see below, and to recapitulate the situation we will start by stressing the following fundamental points:

• 1. by refering to a density matrix, which subscribe to the general decomposition, see the previous chapter on the second order reduced density matrix and the extreme case, as (neglecting the “tail”)

  $$ {\Gamma^{(2)}}=\Gamma_L^{(2)}+\Gamma_S^{(2)}+(\Gamma_T^{(2)}) $$

  where the first part is the “large component” associated with coherence and the possible development of ODLRO and the second “small part“ relates to the correlation sector,

• 2. by extending the quantum mechanical formulation through the theory of complex scaling (CSM), so that irreversibility is naturally embedded in the dynamics from the beginning, and simultaneously, through the reduction above, to far from equilibrium situations,

• 3. by considering the thermal quantum correlations obtained from the thermalization of the reduced density matrix Γ⁽²⁾,

• 4. by showing that these thermal quantum correlations can not refer to a wave function, like those at T = 0 K,

• 5. and by not considering any specific physical mechanism, except the general perturbational influence given by universal, environmental quantum correlations as exhibited through the extreme case previously described.