Tangent bundle geometry from dynamics: application to the Kepler problem

In this paper we consider a manifold with a dynamical vector field and inquire about the possible tangent bundle structures which would turn the starting vector field into a second order one. The analysis is restricted to manifolds which are diffeomorphic with affine spaces. In particular, we consider the problem in connection with conformal vector fields of second order and apply the procedure to vector fields conformally related with the harmonic oscillator (f-oscillators) . We select one which covers the vector field describing the Kepler problem.Comment: 17 pages, 2 figure

Tensorial dynamics on the space of quantum states

A geometric description of the space of states of a finite-dimensional quantum system and of the Markovian evolution associated with the Kossakowski-Lindblad operator is presented. This geometric setting is based on two composition laws on the space of observables defined by a pair of contravariant tensor fields. The first one is a Poisson tensor field that encodes the commutator product and allows us to develop a Hamiltonian mechanics. The other tensor field is symmetric, encodes the Jordan product and provides the variances and covariances of measures associated with the observables. This tensorial formulation of quantum systems is able to describe, in a natural way, the Markovian dynamical evolution as a vector field on the space of states. Therefore, it is possible to consider dynamical effects on non-linear physical quantities, such as entropies, purity and concurrence. In particular, in this work the tensorial formulation is used to consider the dynamical evolution of the symmetric and skew-symmetric tensors and to read off the corresponding limits as giving rise to a contraction of the initial Jordan and Lie products.Comment: 31 pages, 2 figures. Minor correction

Comment on "Correlated electron-nuclear dynamics: Exact factorization of the molecular wavefunction" [J. Chem. Phys. 137, 22A530 (2012)]

In spite of the relevance of the proposal introduced in the recent work A. Abedi, N. T. Maitra and E. K. U. Gross, J. Chem. Phys. 137, 22A530, 2012, there is an important ingredient which is missing. Namely, the proof that the norms of the electronic and nuclear wavefunctions which are the solutions to the nonlinear equations of motion are preserved by the evolution. To prove the conservation of these norms is precisely the objective of this Comment.Comment: 2 pages, published versio

Preoperative digital three-dimensional planning for rhinoplasty

BACKGROUND: This report describes preoperative digital planning for rhinoplasty using a new three-dimensional (3D) radiologic viewer that allows both patients and surgeons to visualize on a common monitor the 3D real aspect of the nose in its inner and outer sides. METHODS: In the period 2002 to 2008, 210 patients underwent rhinoplasty procedures in the authors' clinic. The patients were randomly divided into three groups according to the type of preoperative planning used: photos only, a simulated result by Adobe Photoshop, or the 3D radiologic viewer. The parameters evaluated included the number of patients that underwent surgery after the first consultation, the number of patients who asked for a reintervention, patient satisfaction (according to a test given to the patients 12 months postoperatively), the surgical time required for a functional intervention, and the improvement in nasal function by postoperative rhinomanometry and subjective evaluation. RESULTS: Computer-aided technologies led to a higher number of patients deciding to undergo a rhinoplasty. Simulation of the postoperative results was not as useful in the postoperative period due to the higher number of reintervention requests. CONCLUSION: The patients undergoing rhinoplasties preferred new technologies in the preoperative period. The advantages of using the 3D radiologic viewer included improved preoperative planning, reduction in intraoperative stress, a higher number of patients undergoing surgery, reduction in postoperative surgical corrections, reduction in surgical time for the functional intervention, a higher rate of improvement in nasal function, a higher percentage of postoperative satisfaction, and reduced costs

Tourism, gentrification and neighbourhood change: an analytical framework

In the twenty-first century, tourism has grown in cities in an unprecedented way and, importantly, takes place in residential areas that were not planned to be tourist spaces. The sharing of space between residents and tourists is a source of conflict that revolves around competition for resources, facilities and the rights of access to these, resulting in an increased community opposition to urban tourism at an international scale. To understand this opposition, an exploration of the effects that tourism has on cities is needed. This is the principal aim of this chapter. Based both on the discussion of the international literature in the field and on empirical research conducted in the cities of Barcelona, Lisbon and Seville, this chapter provides a framework towards understanding the socio-spatial impacts of urban tourism. We suggest that tourism has an impact on both housing market dynamics and neighbourhood life. First, in these three cities we will show how tourism undermines the right to housing for numerous reasons. Second, the fact that residential neighbourhoods become spaces of entertainment and consumption for visitors leads to a daily pressure that dramatically undermines the quality of life of residents. We suggest that it is the combination of the impacts on both housing and neighbourhoods which makes tourism an increased topic of contention. Based on our framework, in the conclusion we discuss whether the impacts of tourism should be considered a form of gentrification.info:eu-repo/semantics/publishedVersio

¿Tritanopía adquirida en los pescadores del sur de España?: una exploración negativa.

Sin resume

Expansion of the ligand knowledge base for chelating P,P-donor ligands (LKB-PP)

[Image: see text] We have expanded the ligand knowledge base for bidentate P,P- and P,N-donor ligands (LKB-PP, Organometallics2008, 27, 1372–1383) by 208 ligands and introduced an additional steric descriptor (nHe(8)). This expanded knowledge base now captures information on 334 bidentate ligands and has been processed with principal component analysis (PCA) of the descriptors to produce a detailed map of bidentate ligand space, which better captures ligand variation and has been used for the analysis of ligand properties

Entropy and canonical ensemble of hybrid quantum classical systems

We generalize von Neumann entropy function to hybrid quantum-classical systems by considering the principle of exclusivity of hybrid events. For non-interacting quantum and classical subsystems, this entropy function separates into the sum of the usual classical (Gibbs) and quantum (von Neumann) entropies, whereas if the two parts do interact, it can be properly separated into the classical entropy for the marginal classical probability, and the conditional quantum entropy. We also deduce the hybrid canonical ensemble (HCE) as the one that maximizes this entropy function, for a fixed ensemble energy average. We prove that the HCE is additive for non-interacting systems for all thermodynamic magnitudes, and reproduces the appropriate classical- and quantum-limit ensembles. Furthermore, we discuss how and why Ehrenfest dynamics does not preserve the HCE and does not yield the correct ensemble averages when time-averages of simulations are considered -- even if it can still be used to obtain correct averages by modifying the averaging procedure.Comment: 6 pages + 4 pages Supp. Ma