Boson Fields on the Circle as Generalized Wightman Fields

We define an operator-valued distribution on the circle with the expected properties (correlation functions, Hermiticity, etc.) of the logarithmic boson field in the cylinder compact picture. This is done starting from the known Krein space realization of the right and left movers on the light cone and considering its relation with the U(1)-current algebra. The relevance of this construction fortwo-dimensional conformal quantum field theory is discussed.     

Sul teorema di unicità per le equazioni del campo elettromagnetico in un plasma

Sunto Si dimostrano alcuni teoremi di unicità per le equazioni non-lineari del campo elettromagnetico in un plasma in cui si tiene conto della pressione dei corpuscoli elettrici. I teoremi sono sempre dimostrati nel caso non stazionario, anzitutto supponendo che il plasma occupi tutto lo spazio, poi vengono estesi al caso di un dominio finito con opportune ipotesi alla frontiera. Infine si ottengono teoremi di unicità nel caso in cui, per effetto di campo magnetico, la pressione diventa anisotropa. A Bruno Finzi nel suo 70^mo compleanno Lavoro eseguito nell'ambito dell'attività dei gruppi di ricerca del C. N R. Entrata in Redazione il 19 gennaio 1970.     

Direct measurement of the counterion distribution within swollen polyelectrolyte films

The depth profile of the counterion concentration within thin polyelectrolyte films was measured in situ using contrast variant specular neutron reflectivity to characterize the initial swelling stage of the film dissolution. We find substantial counterion depletion near the substrate and enrichment near the periphery of the film extending into the solution. These observations challenge our understanding of the charge distribution in polyelectrolyte films and are important for understanding film dissolution in medical and technological applications.     

The depth of molecular recognition: voltage-sensitive blockage of synthetic multifunctional pores with refined architecture

Voltage-sensitive blockage by ADP, ATP and phytate (IP6) demonstrates that active-site contraction toward the middle of newly synthesized rigid-rod beta-barrels provides a general strategy to rationally create and modulate the voltage sensitivity (and to increase the efficiency) of molecular recognition by synthetic multifunctional pores.     

Stereochemistry of cercosporin

The absolute configuration of the asymmetric carbons and the axial chirality of the natural mold metabolite cercosporin (from $\text{Cercospora sp}$.) have been established on the basis of X-ray analysis and chemical reactions. The results confirm the inherent dissymmetry of the perylenequinone ring, the twisting of which gives rise to the diastereoisomer isocercosporin. The energy barrier for the conversion of cercosporin into isocercosporin has been evaluated.     

Sul teorema di unicità nella dinamica dei fluidi

Sunto Si dimostra, per le equazioni del moto dei fluidi, un teorema di unicità valido in domini illimitati, senza supporre condizioni di convergenza all’infinito per la velocità. Ad Antonio Signorini nel suo 70^mo compleanno.     

Single-particle resonances in a deformed relativistic potential

The positive-parity single-neutron levels in an axially-deformed relativistic quadrupole Woods-Saxon potential are analyzed. Neutron states are obtained as the solutions of the corresponding single-particle Dirac equation, using the coupled-channels method in the coordinate space. The evolution of the levels close to the continuum threshold and, in particular, the occurrence of singleneutron resonant states as the functions of the axial deformation parameter 0 β 0.5, are examined using the eigenphase representation. Calculations are performed for different values of the radius of the potential (R/r 0 ) 3 , corresponding to a variation of the mass number A.     

The Geometric Dual of a–Maximisation for Toric Sasaki–Einstein Manifolds

We show that the Reeb vector, and hence in particular the volume, of a Sasaki–Einstein metric on the base of a toric Calabi–Yau cone of complex dimension n may be computed by minimising a function Z on which depends only on the toric data that defines the singularity. In this way one can extract certain geometric information for a toric Sasaki–Einstein manifold without finding the metric explicitly. For complex dimension n = 3 the Reeb vector and the volume correspond to the R–symmetry and the a central charge of the AdS/CFT dual superconformal field theory, respectively. We therefore interpret this extremal problem as the geometric dual of a–maximisation. We illustrate our results with some examples, including the Y ^p,q singularities and the complex cone over the second del Pezzo surface.