74 research outputs found
Spinor super-bundles of geometric objects on spin^G space-times.
No full textSpinorial fibre bundles are built on space-times manifolds of type spin that are fully covariant in the sense introduced by A. Prastaro. These fibre bundles generalize ones previously
introduced by the same author and are very useful in a unified field theory
Quantum geometry of super PDE's.
No full textIn order to extend to super PDEs the theory of quantization of PDEs as given by A. Prastaro, we first develop a geometric theory for super PDEs (see also a companion paper on this subject by the same author). Superspaces and supermanifolds are introduced by using the concept of weak differentiability as usually given for locally convex spaces. This allows us to consider in algebraic way superdual spaces and superderivative spaces and to develop a formal theory for super PDEs that directly extends the previous ones for standard manifolds of finite dimension. In particular, we give a criterion of formal superintegrability for super PDEs, and show that a geometric theory of singular supersolutions, with singularities of Thom--Boardman type, can be formulated in the framework of super PDEs too. These results generalize the previous ones obtained for ordinary manifolds by H.Goldschmidt and by Moscow's mathematical school. Conservation superlaws associated to super PDEs are considered and related with some spectral sequences and wholly cohomological character of these equations. Then, the quantization of super PDEs is formulated on the ground of quantum cobordism. This is made in order to give an intrinsic and fully covariant geometric formulation of unified quantum field
theory. In particular, a theory of quantum supergravity is
developed. We explain how canonical quantization and quantum
tunneling effects arise in super PDEs. Furthermore, we explicitly
extend previous results of Witten and Atiyah in topological quantum field theory to our geometric framework for super PDEs. Obstructions to existence of quantum cobords in super PDEs are given by means of supercharacteristic classes. These results can be considered as a generalization of the recent results obtained by Gibbons and Hawking
On the quantization of Newton equation.
No full textIt is proved that the method of formal
quantization of PDEs, introduced by the author in some previous
papers, allows to obtain in intrinsic way
the canonical Dirac quantization for particles of the lassical
mechanics. As examples harmonic oscillator and anharmonic oscillator
are considered. These considerations can be generalized to any PDE
defined on fiber bundles
Spazi derivativi e fisica del continuo in relativita' generale.
No full textIn order to give an axiomatic description of continuum physics, a \textit{derivative space}, , is introduced which allows us to describe the derivative of order of a differentiable map as section of the fiber bundle . \textit{Derivative operators} and \textit{functional differential operators} are seen as useful generalizations of usual differential operators. With this language we recognize a structural order to all physical entities which are characteristic in continuum physics
Wholly cohomological PDE's.
No full textPDE's are geometric objects to which one can associate conservation laws in relation to their symmetry properties . Then, the wholly-cohomological character of a PDE is its possibility to represent any -dimensional cohomological class of the -dimensional basis manifold by means of a conservation law. In
this paper we resume some recent results in this direction obtained by the author and also announce some new further results for PDEs defined in the category of supermanifolds
Geometry of quantized PDE's.
No full textIn this paper we resume some recent
results in the direction of the formal quantization of PDE's
obtained by the author, and also announce some new
further results. The categorial meaning of quantization of PDE's is given. Formal quantization results a canonical functor defined on the category of differential equations. Furthermore, a Dirac-quantization can be interpreted as a covering in the category of differential equations. A quantum (pre-)spectral measure is a
functor that can be factorized by means of formal quantization and a (pre-)spectral measure. A relation between canonical Dirac-quantization and singular solutions of PDE's is given. It is proved also that knowledge of B\"acklund correspondeces, as well
conservation laws, can aid the proceeding of canonical quantization of PDE's
Latent left ventricular ouflow tract obstruction induced by abnormal hypertrophic papillary muscle caused myocardial ischemia.
No full textLeft ventricular outflow tract (LVOT) obstruction is a typical recognized feature in hypertrophic cardiomyopathy. However, it has been shown in other clinical scenarios such as acute ischemia. In some patients, LVOT obstruction may only be detectable with provocation testing such as exercise stress. Accurate and timely diagnosis, therefore, relies on recognizing an echocardiographic substrate in which LVOT obstruction may occur, such as ventricular hypertrophy. This report describes the case of a patient presenting with effort ECG and signs of myocardial ischemia, with no significant narrowing of coronary arteries but with latent LVOT obstruction due to the presence of an abnormal hypertrophic papillary muscle instead of a typical ventricle hypertrophy
Percutaneous approach to treatment of coronary disease in a patient with uremic cardiomyopathy.
No full textUremic cardiomyopathy is chronic ischemic left ventricular dysfunction characterized by heart failure, myocardial ischemia, hypotension in dialysis and arrhythmia. This nosologic entity represents a leading cause of morbidity and mortality among patients with end-stage renal disease receiving long-term hemodialysis. It is intuitive that revascularization in the presence of coronary artery disease in these patients represents an effective option for improving their prognosis. Although the surgical option seems to be followed by the best clinical outcome, some patients refuse this option and others are not good candidates for surgery. The present report describes the case of a patient affected by uremic cardiomyopathy and severe coronary artery disease in whom revascularization with percutaneous coronary angioplasty was followed by a significant improvement in quality of life
Fetal alcohol syndrome disorders: Experience on the field. The Lazio study preliminary report
No full textIn Italy, little is known about the problems related to alcohol drinking during pregnancy. In this paper, the Italian literature about this subject is briefly reviewed. This first Italian experience of a field study, aimed to the assessment of the prevalence of fetal alcohol syndrome (FAS) and fetal alcohol spectrum disorders (FASD) in an area in the Rome province (Lazio region) is reported. This in-field study was performed in the school years 2003-2004 and 2004-2005 in cooperation with American researchers, most from University of New Mexico (Albuquerque), and Italian researchers from University "la Sapienza" of Rome. First grade children (n° = 1086) of primary school were contacted to enter in the in-school study for the detection of FAS and FASD and were examined by the experts team of clinicians, pediatrics, psychologists. Preliminary consideration and the implications of this study for FASD prevention are discussed
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