Geometry of entangled states, Bloch spheres and Hopf fibrations

We discuss a generalization to 2 qubits of the standard Bloch sphere representation for a single qubit, in the framework of Hopf fibrations of high dimensional spheres by lower dimensional spheres. The single qubit Hilbert space is the 3-dimensional sphere S3. The S2 base space of a suitably oriented S3 Hopf fibration is nothing but the Bloch sphere, while the circular fibres represent the qubit overall phase degree of freedom. For the two qubits case, the Hilbert space is a 7-dimensional sphere S7, which also allows for a Hopf fibration, with S3 fibres and a S4 base. A main striking result is that suitably oriented S7 Hopf fibrations are entanglement sensitive. The relation with the standard Schmidt decomposition is also discussedComment: submitted to J. Phys.

Implementation and Testing of the OPT Model as a Teaching Strategy in an Undergraduate Nursing Course

To prepare nurses to use rapidly advancing technology, deal with complex change, and employ highlevel thinking and sound reasoning skills in today’s complex health care culture (Simpson & Courtney, 2002), critical thinking skills are needed. In fact, critical thinking is considered so important in psychiatric nursing that critical thinking skills are incorporated into each chapter of the major textbooks (Antai-Otong, 2008; Kneisl & Trigoboff, 2008). • Critical thinking has been defined as the process of purposeful thinking and reflective clinical reasoning through which nurses examine ideas, assumptions, principles, conclusions, beliefs, and actions in the context of practice (Brunt, 2005). Pesut and Herman define clinical reasoning as “reflective, concurrent, creative, and critical thinking processes embedded in practice used to frame, juxtapose, and test the match between a patient’s present state and desired outcome state” (1999, p. 237). The study described in this article was designed to evaluate the effectiveness of Pesut and Herman’s Outcome-Present State-Test (OPT) Model as a teaching strategy for undergraduate psychiatric nursing students

Evaluation of the Outcome-Present State Test Model as a Way to Teach Clinical Reasoning

The Outcome-Present State Test (OPT) Model of Clinical Reasoning is a nursing process model designed to help students develop clinical reasoning skills. Although many nurse educators are using the OPT model as a teaching strategy, few are formally evaluating its use as a method. We used the OPT model as a teaching tool in an undergraduate psychiatric and mental health clinical nursing course and evaluated how quickly students became adept at using it. Most students mastered the use of the model; 29 of 43 students achieved the criterion score (a score greater than 65 on 3 or more models completed over 4 weeks). Not only did the students gain clinical reasoning skills, but they also used and learned more about the North American Nursing Diagnosis Association, Nursing Interventions Classification, and Nursing Outcomes Classification languages. Recommendations for future use of the model include adding client strengths and increasing focus on the quality of students’ responses

A Precision Measurement of pp Elastic Scattering Cross Sections at Intermediate Energies

We have measured differential cross sections for \pp elastic scattering with internal fiber targets in the recirculating beam of the proton synchrotron COSY. Measurements were made continuously during acceleration for projectile kinetic energies between 0.23 and 2.59 GeV in the angular range $30 \leq \theta_{c.m.} \leq 90$ deg. Details of the apparatus and the data analysis are given and the resulting excitation functions and angular distributions presented. The precision of each data point is typically better than 4%, and a relative normalization uncertainty of only 2.5% within an excitation function has been reached. The impact on phase shift analysis as well as upper bounds on possible resonant contributions in lower partial waves are discussed.Comment: 23 pages 29 figure

Upper limits for a narrow resonance in the reaction p + p -> K^+ + (Lambda p)

The reaction pp -> K^+ + (Lambda p) has been measured at T_p = 1.953 GeV and \Theta = 0 deg with a high missing mass resolution in order to study the Lambda p final state interaction. Narrow S = -1 resonances predicted by bag model calculations are not visible in the missing mass spectrum. Small structures observed in a previous experiment are not confirmed. Upper limits for the production cross section of a narrow resonance are deduced for missing masses between 2058 and 2105 MeV/c^2.Comment: 8 pages, 5 figure

Measurement of Spin Correlation Parameters ANN_{NN}, ASS_{SS}, and A_SL{SL} at 2.1 GeV in Proton-Proton Elastic Scattering

At the Cooler Synchrotron COSY/J\"ulich spin correlation parameters in elastic proton-proton (pp) scattering have been measured with a 2.11 GeV polarized proton beam and a polarized hydrogen atomic beam target. We report results for A$_{NN}$, A$_{SS}$, and A_${SL}$ for c.m. scattering angles between 30$^o$ and 90$^o$. Our data on A$_{SS}$ -- the first measurement of this observable above 800 MeV -- clearly disagrees with predictions of available of pp scattering phase shift solutions while A$_{NN}$ and A_${SL}$ are reproduced reasonably well. We show that in the direct reconstruction of the scattering amplitudes from the body of available pp elastic scattering data at 2.1 GeV the number of possible solutions is considerably reduced.Comment: 4 pages, 4 figure

Detailed comparison of the pp -> \pi^+pn and pp -> \pi^+d reactions at 951 MeV

The positively charged pions produced in proton-proton collisions at a beam momentum of 1640 MeV/c were measured in the forward direction with a high resolution magnetic spectrograph. The missing mass distribution shows the bound state (deuteron) clearly separated from the $pn$ continuum. Despite the very good resolution, there is no evidence for any significant production of the $pn$ system in the spin-singlet state. However, the $\sigma(pp\to \pi^+pn)/\sigma(pp\to \pi^+d)$ cross section ratio is about twice as large as that predicted from $S$-wave final-state-interaction theory and it is suggested that this is due to $D$-state effects in the $pn$ system.Comment: 8 pages, 3 figure

Meson Production in p+d Reactions

The production of neutral and charged pions as well as eta mesons is studied in the Delta and N* resonance region, respectively. Heavy A=3 recoils were measured with the GEM detector. The differential cross sections covering the full angular range are compared with model calculations.Comment: 4 pages, latex, 4 figures, talk presented at the XVIIth European Conference on Few-Body Problems in Physics, Evora, Portugal, September 2000; to be published in Nucl. Phys.