On wave action and phase in the non-canonical Hamiltonian formulation

The long time–evolution of disturbances to slowly–varying solutions of partial differential equations is subject to the adiabatic invariance of the wave action. Generally, this approximate conservation law is obtained under the assumption that the partial differential equations are derived from a variational principle or have a canonical Hamiltonian structure. Here, the wave action conservation is examined for equations that possess a non–canonical (Poisson) Hamiltonian structure. The linear evolution of disturbances in the form of slowly varying wavetrains is studied using a WKB expansion. The properties of the original Hamiltonian system strongly constrain the linear equations that are derived, and this is shown to lead to the adiabatic invariance of a wave action. The connection between this (approximate) invariance and the (exact) conservation laws of pseudo–energy and pseudomomentum that exist when the basic solution is exactly time and space independent is discussed. An evolution equation for the slowly varying phase of the wavetrain is also derived and related to Berry's phase.

Extending the use of canonical and microcanonical Monte Carlo algorithms to spin models

We describe the canonical and microcanonical Monte Carlo algorithms for different systems that can be described by spin models. Sites of the lattice, chosen at random, interchange their spin values, provided they are different. The canonical ensemble is generated by performing exchanges according to the Metropolis prescription whereas in the microcanonical ensemble, exchanges are performed as long as the total energy remains constant. A systematic finite size analysis of intensive quantities and a comparison with results obtained from distinct ensembles are performed and the quality of results reveal that the present approach may be an useful tool for the study of phase transitions, specially first-order transitions. (C) 2009 Elsevier B.V. All rights reserved.

Canonical quantum potential scattering theory

A new formulation of potential scattering in quantum mechanics is developed using a close structural analogy between partial waves and the classical dynamics of many non-interacting fields. Using a canonical formalism we find nonlinear first-order differential equations for the low-energy scattering parameters such as scattering length and effective range. They significantly simplify typical calculations, as we illustrate for atom-atom and neutron-nucleus scattering systems. A generalization to charged particle scattering is also possible.

Classical strings in AdS(4) x CP(3) with three angular momenta

In this paper, rotating strings in three directions of AdS(4) x CP(3) geometry are studied; its divergent energy limit, and conserved charges are also determined. An interpretation of these configurations as either giant magnons or spiky strings is discussed.

Recognition by the Thyroid Hormone Receptor of Canonical DNA Response Elements

To shed more light on the molecular requirements for recognition of thyroid response elements (TRES) by thyroid receptors (TRs), we compared the specific aspects of DNA TRE recognition by different TR constructs. Using fluorescence anisotropy, we performed a detailed and hierarchical study of TR-TRE binding. This wits done by comparing the binding affinities of three different TR constructs for four different TRE DNA elements, including palindromic sequences and direct repeats (F2, PAL, DR-1, and DR-4) as well as their interactions with nonspecific DNA sequences. The effect of MgCl(2) on suppressing of nonselective DNA binding to TR was also investigated. Furthermore, we determined the dissociation constants of the hTR beta DBD (DNA binding domain) and hTR beta DBD-LBD (DNA binding and ligand binding domains) for specific TRES. We found that a minimum DNA recognition peptide derived from DBD (H1TR) is sufficient for recognition and interaction with TREs, whereas scrambled DNA sequences were unrecognized. Additionally, we determined that the TR DBD binds to F2, PAL, and DR-4 with high affinity and similar K(d) values. The TR DBD-LBD recognizes all the tested TRES but binds preferentially to F2, with even higher affinity. Finally, our results demonstrate the important role played by LBDs in modulating TR-DNA binding.

A canonical form for nonderogatory matrices under unitary similarity

A square matrix is nonderogatory if its Jordan blocks have distinct eigenvalues. We give canonical forms for (1) nonderogatory complex matrices up to unitary similarity, and (2) pairs of complex matrices up to similarity, in which one matrix has distinct eigenvalues. The types of these canonical forms are given by undirected and, respectively, directed graphs with no undirected cycles. (C) 2011 Elsevier Inc. All rights reserved.

Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms

Tridiagonal canonical forms of square matrices under congruence or *congruence, pairs of symmetric or skew-symmetric matrices under congruence, and pairs of Hermitian matrices under *congruence are given over an algebraically closed field of characteristic different from 2. (C) 2008 Elsevier Inc. All rights reserved.

'I know I'm doing a good job': canonical and autobiographical narratives of teenage mothers

Teenage pregnancy is typically presented as a problem to be solved, if not as an epidemic in need of urgent intervention. This paper reports on Australian research that examined the phenomenon of teenage motherhood from the perspective of the young women themselves. The theoretical frame of narrative was adopted in order to understand both the way in which the young mothers were making sense of their own lives, and the way in which they interpreted the canonical narrative of teenage motherhood. Interviews with 20 young mothers demonstrated both their awareness of the canonical narrative, in which they are judged and condemned, and their contrasting autobiographical narratives, in which they are represented as good mothers who are capable of learning the skills of motherhood. Although the women refused to emphasise the disadvantages of teenage motherhood, they acknowledged difficulties. Throughout their autobiographical accounts, a 'consoling plot' was evident. Young women may be supported in their endeavour to emplot their lives to their own benefit by family narratives of teenage motherhood.

Choosing qualitative methods for entrepreneurial cognition research : a canonical development approach

This article presents a structured, manageable approach to the complex problem of how to choose, from the vast arsenal loosely labeled "qualitative methods," sets of techniques appropriate to advancement of the emerging field of entrepreneurial cognition. Summary consideration is given to four key issues of philosophical context as a necessary predicate to presentation of a "canonical development" approach, stylized in diagrammatic form. The approach is able to accommodate due regard for both methodological controversy and operational complexity without being overwhelmed by either. Three illustrative examples indicate how use of the approach can stimulate a researcher to create productive matches between questions evolved from the entrepreneurial cognition canon and techniques selected from the complex array of qualitative methods.

Dipole time correlation functions of the Stockmayer fluid in the microcanonical and canonical ensembles

Computer simulations of Stockmayer fluids were performed to generate dipole time correlation functions (TCF) at three temperatures and three dipole moments in both the microcanonical and canonical ensembles. The effect of Nosé constant-temperature dynamics on time-dependent quantities is discussed, and empirical results are given to show that the choice of thermal inertia parameter influences the speed with which a system moves through its phase space. The time correlation functions from the simulations were analyzed in terms of current theories for dipolar systems. A functional form is proposed to cover both the longtime and short-time behavior of the time correlation functions of dipoles. The relationship between this functional form and the dielectric function of the Stockmayer system is also discussed.

Insights from the eco-physiological book of records : Bewick's swans outperform the canonical intake-maximizing vertebrate

During periods of high energy demand an animal may be constrained by a physiological maximum to its energy intake rate. Predictions by allometric equations describing this maximum for endotherms were significantly surpassed during a few recent laboratory experiments on birds and mammals, being given access to food 24 h day^-1. How relevant this is in the field remains to be assessed. We predicted that Bewick’s swans Cygnus columbianus bewickii might surpass this maximum during stopover on their migration. We determined intake rate by measuring initial and final biomass density, and dividing the biomass difference by the feeding time required to reach this difference. This feeding time was given by the functional response. After conversion to daily energy intake rates, these exceeded the previously assumed maximum on two of the three stopover sites studied. The exception was a stopover site where daily foraging time was limited by the tidal cycle. Our study confirms that intake rates may exceed the formerly generally supposed maximum under natural conditions when foraging is possible day and night.

On 4 June 2008 Siberian Red Knots at Elbe Mouth kissed the canonical evening migration departure rule goodbye

Observations of departing Siberian-breeding Red Knots Calidris canutus canutus from their central staging site during northward migration, the Schleswig-Holstein Wadden Sea, Germany, in early June 2008, challenge the established notion that departing long-distance migrating waders only leave around sunset. During four days we scanned several thousand Red Knots for colour-ringed individuals and found a total of 20 different individuals that were previously ringed at either their main wintering site, the Banc d'Arguin in Mauritania, or at stopover sites on the Atlantic coast of France. Body masses of captured Red Knots in Schleswig-Holstein were higher than 200 g and hematocrite values showed an average of 58%, clearly indicating that they were ready for take-off. On all except one evening, we noted impressive departure movements during the incoming tide. On that exceptional evening a cold front thunderstorm passed over the area. Late the next morning, thousands of Red Knots departed during the incoming tide. We assume that the birds avoided taking off in adverse weather conditions and elaborate why Red Knots presumably traded off advantages from departing during twilight. We suggest that during spring migration, schedules are so tight that further delays decrease fitness, either because it would cause another full day of exposure to high predation risk by falcons, or because of conditions upon arrival on the tundra.

Early Connections : reflections on the canonical lineage of Southeast Asian temples

Temples were constructed across Southeast Asia following the spread of Brahmanic/Hindu culture between the fifth to eight centuries CE. Epigraphic evidence, architectural and stylistic similarities between temples in the region are strongly indicative of historic cross cultural links between the traditions. This paper presents the findings of a research project that pieces together fragments of evidence from early temple sites in Southeast Asia to establish the linkages between the Southeast Asian temple building traditions. The focus of the paper is on tracing the canonical connections between these traditions through an examination of temple sites in Cambodia and Java respectively. The legacy of this ancient diasporic movement remains celebrated today in the admiration of Southeast Asian monuments such as Angkor Wat and Prambanan. However this architecture evolved over time through a process of long experimentation with philosophies, world-views, and methods. . In order to permit a deeper examination of canonical connections, the authors use methods such as photogrammetry, digital and physical models to reconstruct the architectural forms. A detailed analysis of the canonical geometry and compositional form of these temples is undertaken with reference to Indic texts and temples. Comparing the relationships between cosmology, geometry and physical form in this earlier sites with both Indian and developed Southeast Asian models, it is intended that its generative role within Southeast Asian architectural historiography can be clarified and more fully celebrated.