Non-Hermitian von Roos Hamiltonian's η\eta-weak-pseudo-Hermiticity, isospectrality and exact solvability

A complexified von Roos Hamiltonian is considered and a Hermitian first-order intertwining differential operator is used to obtain the related position dependent mass $\eta$-weak-pseudo-Hermitian Hamiltonians. Using a Liouvillean-type change of variables, the $\eta$-weak-pseudo-Hermitian von Roos Hamiltonians H(x) are mapped into the traditional Schrodinger Hamiltonian form H(q), where exact isospectral correspondence between H(x) and H(q) is obtained. Under a user-friendly position dependent mass settings, it is observed that for each exactly-solvable $\eta$-weak-pseudo-Hermitian reference-Hamiltonian H(q)there is a set of exactly-solvable $\eta$-weak-pseudo-Hermitian isospectral target-Hamiltonians H(x). A non-Hermitian PT-symmetric Scarf II and a non-Hermitian periodic-type PT-symmetric Samsonov-Roy potentials are used as reference models and the corresponding $\eta$-weak-pseudo-Hermitian isospectral target-Hamiltonians are obtained.Comment: 11 pages, no figures

Moderating effect of gender and age on the relationship between emotional intelligence with social and academic adjustment among first year university students

This study examined whether emotional intelligence is significantly correlated with social adjustment and academic adjustment. It also explored the moderating effects of gender and age factors and their linked between emotional intelligence and social adjustment as well as academic adjustment among first year university students. 289 first year university students (148 males and 141 females) at the Irbid Govern Orate, North of Jordan, participate in the study and were categorized based on two age groups, younger students between the age of 18 – 25 and older students between the range of 26 and above. Two valid and reliable instruments were used to assess student’s emotional intelligence, social adjustment and academic adjustment. Correlation and multi-group analysis using structural equation model were used to analyse these data. The result shows no significant relationship between emotional intelligence and of both social adjustment and academic adjustment. In addition, the moderating effect of gender was not found. However, the moderating effect of age on the relationship between emotional intelligence with social adjustment and academic adjustment were established

On computing joint invariants of vector fields

A constructive version of the Frobenius integrability theorem -- that can be programmed effectively -- is given. This is used in computing invariants of groups of low ranks and recover examples from a recent paper of Boyko, Patera and Popoyvich \cite{BPP}

Inflation, Price Dispersion, and Market Structure

In this paper, we use a unique micro-level data set from Istanbul to investigate the empirical relationship between inflation and price dispersion. In particular, our data set includes price observations from three distinct store types: bakkals (convenience stores), pazars (bazaars), and supermarkets. Our findings indicate that pazars exhibit the least amount of price dispersion on average, which is consistent with the fact that menu and search costs are very low in the pazar and that such sellers seem to have very little market power. Moreover, we find that several of the basic inflation-dispersion channels identified by the theoretical literature seem to be operating in our data.inflation, market structure, menu cost models, micro panel data, price dispersion

Market Structure, Inflation, and Price Dispersion

In this paper, we investigate the impact of market structure on the relationship between inflation and price dispersion. We first propose a new empirical model of the relationship between inflation and dispersion with firmer theoretical foundations, and then extend the basic model to incorporate the potential effects of market structure. We estimate the basic and market structure specifications using a unique micro-level data set from Istanbul, which consists of monthly price observations from three different store types: convenience stores, open-air markets, and supermarkets. Our empirical findings support almost all of the basic and market structure predictions.inflation, market structure, menu cost models, micro panel data, price dispersion