Classical Aspects of Quantum Walls in One Dimension

We investigate the system of a particle moving on a half line x >= 0 under the general walls at x = 0 that are permitted quantum mechanically. These quantum walls, characterized by a parameter L, are shown to be realized as a limit of regularized potentials. We then study the classical aspects of the quantum walls, by seeking a classical counterpart which admits the same time delay in scattering with the quantum wall, and also by examining the WKB-exactness of the transition kernel based on the regularized potentials. It is shown that no classical counterpart exists for walls with L < 0, and that the WKB-exactness can hold only for L = 0 and L = infinity.Comment: TeX, 21 pages, 4 figures. v2: some parts of the text improved, new and improved 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

Quantifying the search for solid Li-ion electrolyte materials by anion: a data-driven perspective

We compile data and machine learned models of solid Li-ion electrolyte performance to assess the state of materials discovery efforts and build new insights for future efforts. Candidate electrolyte materials must satisfy several requirements, chief among them fast ionic conductivity and robust electrochemical stability. Considering these two requirements, we find new evidence to suggest that optimization of the sulfides for fast ionic conductivity and wide electrochemical stability may be more likely than optimization of the oxides, and that the oft-overlooked chlorides and bromides may be particularly promising families for Li-ion electrolytes. We also find that the nitrides and phosphides appear to be the most promising material families for electrolytes stable against Li-metal anodes. Furthermore, the spread of the existing data in performance space suggests that fast conducting materials that are stable against both Li metal and a >4V cathode are exceedingly rare, and that a multiple-electrolyte architecture is a more likely path to successfully realizing a solid-state Li metal battery by approximately an order of magnitude or more. Our model is validated by its reproduction of well-known trends that have emerged from the limited existing data in recent years, namely that the electronegativity of the lattice anion correlates with ionic conductivity and electrochemical stability. In this work, we leverage the existing data to make solid electrolyte performance trends quantitative for the first time, building a roadmap to complement material discovery efforts around desired material performance.Comment: Main text is 41 pages with 3 figures and 2 tables; attached supplemental information is 8 pages with 3 figure

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

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

Percolation and finite size scaling in seven dimensions

Numerical investigation of critical exponents on a hypercubic with L^d random sites with L up to $33 and d up to 7 show that above the critical dimension the phase transitions in Ising model and percolation are not alike.Comment: 5 pages including 4 figures, for Int.J.Mod.Phys.

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

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

Use of an Innovative Interprofessional Mini-Series Movie to Train Preceptors

Objectives: To evaluate the effectiveness of the innovative “Preceptor Mini-Series: Adventures in Interprofessional Precepting” movie program in training pharmacy preceptors on interprofessional competencies and to determine pharmacy preceptors’ perceptions of the effectiveness of the Mini-Series format. Methods: Chronicled by two preceptor experts, the Mini-Series movie follows the challenges of pharmacy, nursing, and medicine students and their preceptor during six-week experiential rotations. Pharmacy preceptors were invited to events held at movie theatres or local classrooms in three different cities. Participants were asked to provide basic demographic information and answer four “pre-program” and “post-program” survey questions focused on working in an interprofessional environment on a 5 point scale, 1=strongly disagree, 5=strongly agree. The post-program survey also included six additional questions to assess participant’s attitudes toward the effectiveness of this medium. Results: Fifty-eight (58) individuals attended the movie events. The majority had more than ten years of preceptor experience (n = 21, 36.2%), were female preceptors (n = 40, 69.0%), and practiced in an interprofessional environment (n = 48, 82.8%). The participants’ scores on all four interprofessional confidence level questions were significantly increased after viewing the Mini-Series movie and the overall mean increased from 4.47 (pre-confidence level) to 4.79 (post-confidence level, p &lt; 0.001). There were no significant differences of confidence levels based on gender, location, or number of students a preceptor took on rotation each year. However, participants with fewer years of preceptor experience (0-10 years) had a significantly higher perceived learning score than those with more preceptor experience (&gt;10 years) (4.89 vs. 4.63, p = 0.020). The mean for satisfaction (4.9, 3 questions) was slightly higher than the means for perceived learning (4.8, 1 question), and instructional approach (4.87, 3 questions). Implications: After program completion, pharmacy preceptors indicated an increase in confidence level for precepting in an interprofessional environment. The Mini-Series movie program also yielded positive feedback on its delivery format and suggests the medium may be effective to use for similar future training initiatives. Conflict of Interest The authors report no conflicts of interest or financial incentives to disclose related to this project. Dr. Craig D. Cox conceptualized, developed, and directed the&nbsp;Mini-Seriesprogram described in the manuscript. All funding for and all income generated by the program studied is the property of the Texas Tech University Health Sciences Center School of Pharmacy. &nbsp; Type:&nbsp;Original Researc