Azerbaijan University

The HEXACO-60 is a widely used 60-item instrument assessing the six-factor model of personality, yet its psychometric robustness remains largely untested in the South Caucasus. This study evaluated the Azerbaijani version of the HEXACO-60 in a large multi-university sample of university students (N = 1178; 654 males, 524 females; M age = 20.9, SD = 2.1). Confirmatory factor analysis supported the hypothesized six-factor structure with acceptable model fit (χ2 (1684) = 4165.20, CFI = .930, TLI = .923, RMSEA = .045, SRMR = .048). All dimensions exhibited satisfactory internal consistency (Cronbach’s alpha = .72–.85; McDonald’s omega = .74–.87). Convergent validity was supported through theoretically consistent associations with self-compassion and self-esteem: Honesty–Humility and Emotionality showed the strongest positive associations with self-compassion (r = .42 and .35, respectively), whereas Extraversion demonstrated the strongest positive association with self-esteem (r = .42). These findings provide the first comprehensive psychometric evaluation of the Azerbaijani HEXACO-60 and support the cross-cultural applicability of the HEXACO model in an understudied South Caucasus context.

Purpose This study evaluated the psychometric properties of the Nepali version of the 20-item Global INSPIRE among adults in Nepal, with particular attention to the relative endorsement and structure of the CHIME recovery domains. Methods Data from 517 adults were analysed. Psychometric evaluation included item distributions, floor and ceiling effects, internal consistency using Cronbach’s alpha and McDonald’s omega, and confirmatory factor analysis using a robust categorical estimator. Construct validity was examined through associations with personal recovery, self-compassion, psychological distress, and meta-emotion dysregulation. Domain endorsement was examined using within-person parametric and non-parametric comparisons. Results The Nepali Global INSPIRE demonstrated excellent total-score reliability (α = 0.921; ω = 0.923). The correlated five-factor model showed acceptable to good fit (CFI = 0.965; TLI = 0.958; RMSEA = 0.066; SRMR = 0.044). Bifactor indices indicated a strong general recovery-priority factor (ECV = 0.744; ωH = 0.900). Hope, Identity, Meaning, and Empowerment were highly correlated (r ≥ 0.844), whereas Connectedness correlated more moderately with the other domains and showed greater item variability. Domain endorsement differed significantly (p < 0.001), with Hope having the highest mean and Connectedness the lowest. Associations with the external measures were in the expected directions and supported construct validity. Conclusion The Nepali Global INSPIRE showed strong internal consistency and acceptable structural validity among adults in Nepal. The findings support interpretation of the total score, while domain-specific scores require greater caution. Further evaluation is needed in clinical populations and other community samples.

Abstract This paper studies the inverse Cauchy problem for the two-dimensional Schrödinger-Pauli equation, which models a spin- 1 2 {1 \over 2} quantum particle in a magnetic field. The problem involves reconstructing an inaccessible boundary condition from overdetermined data, a severely ill-posed inverse problem. We develop a numerical method combining Lavrentiev regularization with Haar wavelet discretization, yielding a regularized Fredholm equation solved via an efficient collocation scheme with explicit matrix entries. Numerical results demonstrate first-order convergence and robustness to noise up to 10%. Notably, multi-frequency solutions exhibit enhanced noise stability compared to single-mode cases. The method provides a stable, efficient framework for boundary reconstruction in quantum systems with partial data.

This paper investigates boundary value problems for the fractional Pauli operator on a finite square domain, addressing a significant gap in the literature where such problems have not been previously studied. The fractional Pauli operator generalizes the standard Pauli operator by replacing the classical Laplacian with the fractional Laplacian (−∆)α=2, introducing non-local quantum effects. We employthe spectral definition of the fractional Laplacian on bounded domains, expanding the solution as a double trigonometric series that automatically satisfies Dirichlet boundary conditions. The problem is reduced to solving a linear algebraic system for the series coefficients, for which we prove existence and uniqueness in appropriate fractional Sobolev spaces. Numerical experiments for various fractional ordersα demonstrate significant deviations from the classical case (α = 2), with solutions exhibiting enhanced amplitudes and diffusive characteristics as α decreases. Rigorous convergence analysis establishes the continuous transition to the classical Pauli operator as α ! 2−.