Unique phase problem solutions from reduced density matrices: are they correct?

Calculation of reduced density matrices from correlation functions

Insight solutions are correct more often than analytic solutions.

How accurate are insights compared to analytical solutions? In four experiments, we investigated how participants' solving strategies influenced their solution accuracies across different types of problems, including one that was linguistic, one that was visual and two that were mixed visual-linguistic. In each experiment, participants' self-judged insight solutions were, on average, more accur...

Reduced density matrices and Bose-Einstein condensation

Emergence and applications of the ubiquitous tool of reduced density matrices in the rigorous analysis of Bose Einstein condensation is reviewed, and new related results are added. The need and the nature of scaling limits of infinitely many particles is discussed, which imposes that a physically meaningful and mathematically well-posed definition of asymptotic condensation is placed at the lev...

Compact forms of reduced density matrices

The objective of this paper is to identify the necessary and sufficient minimum information carried by Reduced Density Matrices ~RDMs!. This minimum of essential information determines a set of equivalent compact-form matrices that are devoid of the redundant information present in the original RDMs when the system possesses symmetry invariances. The basic properties and algebra operations of t...

Perceptions of Corruption in Ukraine: Are They Correct?

This paper discusses the issue of perceptions and their influence on economic processes focusing on corruption perception. The higher the perceived corruption in an organization is, the more probable it is that a person dealing with that organization would offer a bribe, thus supporting corruption. Since corruption perceptions are rarely based on actual experience, they might describe reality i...