Overbarrier Resonances as Solutions of Set Inhomogeneous Schr\"{o}dinger Equations

In the paper the Schr\"odinger equation for quasibound resonance state with complex energy is considered. The system of inhomogeneous differential equations is obtained for the real and imaginary parts of wave function. On the base of known solution of corresponding homogeneous equation, the inhomogeneus system is solved with help of iteration procedure. The single-particle neutron $2p$-state in the Woods - Saxon potential is analyzed for $^{13}C$ nucleus.Comment: 19 pages, 3 figure

Equivalence of Local and Separable Realizations of the Discontinuity-Inducing Contact Interaction and Its Perturbative Renormalizability

We prove that the separable and local approximations of the discontinuity-inducing zero-range interaction in one-dimensional quantum mechanics are equivalent. We further show that the interaction allows the perturbative treatment through the coupling renormalization. Keywords: one-dimensional system, generalized contact interaction, renormalization, perturbative expansion. PACS Nos: 3.65.-w, 11.10.Gh, 31.15.MdComment: ReVTeX 7pgs, doubl column, no figure, See also the website http://www.mech.kochi-tech.ac.jp/cheon

Bayesian Nash Equilibria and Bell Inequalities

Games with incomplete information are formulated in a multi-sector probability matrix formalism that can cope with quantum as well as classical strategies. An analysis of classical and quantum strategy in a multi-sector extension of the game of Battle of Sexes clarifies the two distinct roles of nonlocal strategies, and establish the direct link between the true quantum gain of game's payoff and the breaking of Bell inequalities.Comment: 6 pages, LaTeX JPSJ 2 column format, changes in sections 1, 3 and 4, added reference

A general approximation of quantum graph vertex couplings by scaled Schroedinger operators on thin branched manifolds

We demonstrate that any self-adjoint coupling in a quantum graph vertex can be approximated by a family of magnetic Schroedinger operators on a tubular network built over the graph. If such a manifold has a boundary, Neumann conditions are imposed at it. The procedure involves a local change of graph topology in the vicinity of the vertex; the approximation scheme constructed on the graph is subsequently `lifted' to the manifold. For the corresponding operator a norm-resolvent convergence is proved, with the natural identification map, as the tube diameters tend to zero.Comment: 19 pages, one figure; introduction amended and some references added, to appear in CM

Eigenvalue and eigenspace anholonomies in hierarchical systems

An adiabatic cycle of parameters in a quantum system can yield the quantum anholonomies, nontrivial evolution not just in phase of the states, but also in eigenvalues and eigenstates. Such exotic anholonomies imply that an adiabatic cycle rearranges eigenstates even without spectral degeneracy. We show that an arbitrarily large quantum circuit generated by recursive extension can also exhibit the eigenvalue and eigenspace anholonomies.Comment: 5 pages, 3 figure

Factor Analysis of the Financial Strain Index from the Welfare, Children and Families: A Three-City Study, Wave 3

This paper uses the Welfare, Children, and Families: A Three-City Study data. The three cities included are Boston, Chicago, and San Antonio. The total sample size was n = 1,773, and almost all respondents were female caregivers (99%). An Exploratory Factor Analysis (EFA) on the financial strain index was conducted because previous research reporting an EFA is limited. The financial strain construct was examined using a Principal Component Analysis (PCA) in two Structural Equation Models (SEMs) and a recursive path analysis estimated by ordinary least squares regression. These previous articles provide the theoretical basis for the EFA reported in this paper. Results of the EFA indicate a one-factor model (RMSEA (.064), CFI (.975), TLI (.958), 2 = 74.995, df = 9, p\u3c .001), and a two-factor model (RMSEA (.035), CFI (.997), TLI (.988), 2 = 12.722, df = 4, p =.0127) are both good fits to the Three-City Study data. However, the one-factor model is more appropriate than the two-factor model based on Eigenvalues and a scree plot. Additional research using the financial strain index from the Three-City Study with samples from different populations is needed to further support retaining a one-factor model. The financial strain index is a valuable composite measure summarizing responses for several rank-ordered items measuring the concept of financial strain. We recommend that financial therapy practitioners use the financial strain index as a one-factor measurement tool to assess client financial strain

Quantum phenomenology of conjunction fallacy

A quantum-like description of human decision process is developed, and a heuristic argument supporting the theory as sound phenomenology is given. It is shown to be capable of quantitatively explaining the conjunction fallacy in the same footing as the violation of sure-thing principle.Comment: LaTeX 8 pages, 2 figure

Nuclear Mass Dependence of Chaotic Dynamics in Ginocchio Model

The chaotic dynamics in nuclear collective motion is studied in the framework of a schematic shell model which has only monopole and quadrupole degrees of freedom. The model is shown to reproduce the experimentally observed global trend toward less chaotic motion in heavier nuclei. The relation between current approach and the earlier studies with bosonic models is discussed.Comment: 11 Page REVTeX file, 2 postscript figures, uuencode

Level spacing distribution of pseudointegrable billiard

In this paper, we examine the level spacing distribution $P(S)$ of the rectangular billiard with a single point-like scatterer, which is known as pseudointegrable. It is shown that the observed $P(S)$ is a new type, which is quite different from the previous conclusion. Even in the strong coupling limit, the Poisson-like behavior rather than Wigner-like is seen for $S>1$, although the level repulsion still remains in the small $S$ region. The difference from the previous works is analyzed in detail.Comment: 11 pages, REVTeX file, 3 PostScript Figure