20 research outputs found
THE LAMB-BATEMAN INTEGRAL EQUATION AND THE FRACTIONAL DERIVATIVES
The Lamb-Bateman integral equation was introduced to study the solitary wave diffraction and its solution was written in terms of an integral transform. We prove that it is essentially the Abel integral equation and its solution can be obtained using the formalism of fractional calculus
Introduzione alla Cosmologia
<p>Questa nota fa parte di una serie di dispense distribuite durante il corso \"Incontri di Fisica Moderna\", rivolto ai docenti di Matematica e Fisica dei Licei Scientifici. Rivolgersi all'autore.</p>
Relatività Speciale: Esercizi e Complementi
<p>Questa nota fa parte di una serie di dispense distribuite durante il corso \"Incontri di Fisica Moderna\", rivolto ai docenti di Matematica e Fisica dei Licei Scientifici. Il corso si è svolto, presso i Laboratori Nazionali di Frascati, nel periodo Novembre 2015 – Maggio 2016, ed è consistito di 15 lezioni di tre ore ciascuna.</p>
Exploring quantum vacuum with low-energy photons
Although quantum mechanics (QM) and quantum field theory (QFT) are highly successful, the seemingly simplest state – vacuum – remains mysterious. While the LHC experiments are expected to clarify basic questions on the structure of QFT vacuum, much can still be done at lower energies as well. For instance, experiments like PVLAS try to reach extremely high sensitivities, in their attempt to observe the e®ects of the interaction of visible or near-visible photons with intense magnetic fields – a process which becomes possible in quantum electrodynamics (QED) thanks to the vacuum fluctuations of the electronic field, and which is akin to photon-photon scattering. PVLAS is now close to data-taking and if it reaches the required sensitivity, it could provide important information on QED vacuum. PVLAS and other similar experiments face great challenges as they try to measure an extremely minute effect. However, raising the photon energy greatly increases the photon-photon cross-section, and gamma rays could help extract much more information from the observed light-light scattering. Here we discuss an experimental design to measure photon-photon scattering close to the peak of the photon- photon cross section, that could fit in the proposed construction of an FEL facility at the Cabibbo Lab near Frascati (Rome, Italy)
La Realtà Quantistica
<p>Questa nota fa parte di una serie di dispense distribuite durante il corso \"Incontri di Fisica Moderna\", rivolto ai docenti di Matematica e Fisica dei Licei Scientifici. Il corso si è svolto, presso i Laboratori Nazionali di Frascati, nel periodo Novembre 2015 – Maggio 2016, ed è consistito di 15 lezioni di tre ore ciascuna.</p>
The Airy transform and associated polynomials
AbstractThe Airy transform is an ideally suited tool to treat problems in classical and quantum optics. Even though the relevant mathematical aspects have been thoroughly investigated, the possibilities it offers are wide and some features, such as the link with special functions and polynomials, still contain unexplored aspects. In this note we will show that the so called Airy polynomials are essentially the third order Hermite polynomials. We will also prove that this identification opens the possibility of developing new conjectures on the properties of this family of polynomials.</jats:p
Status of the SIMP project: Towards the Single Microwave Photon Detection
The low-mass frontier of Dark Matter, the measurement of the neutrino mass, the search for new light bosons in laboratory experiments, all require detectors sensitive to excitations of meV or smaller. Faint and rare signals, such as those produced by vacuum photoemission or by an Axion in a magnetic field, could be efficiently detected only by a new class of sensors. The Italian institute for nuclear physics (INFN) has financed the three-year SIMP project (2019-2021) in order to strengthen its skills and technologies in this field with the ultimate aim of developing a single microwave photon detector. This goal will be pursued by improving the sensitivity and the dark count rate of two types of photodetectors: Current Biased Josephson Junction and Transition Edge Senso
The future search for low-frequency axions and new physics with the FLASH resonant cavity experiment at Frascati National Laboratories
We present a proposal for a new experiment, the FINUDA magnet for Light Axion
SearcH (FLASH), a large resonant-cavity haloscope in a high static magnetic
field which is planned to probe new physics in the form of dark matter (DM)
axions, scalar fields, chameleons, hidden photons, as well as high frequency
gravitational waves (GWs). Concerning the QCD axion, FLASH will search for
these particles as the DM in the mass range (0.49-1.49) ueV, thus filling the
mass gap between the ranges covered by other planned searches. A dedicated
Microstrip SQUID operating at ultra-cryogenic temperatures will amplify the
signal. The frequency range accessible overlaps with the Very High Frequency
(VHF) range of the radio wave spectrum and allows for a search in GWs in the
frequency range (100-300) MHz. The experiment will make use of the cryogenic
plant and magnet of the FINUDA experiment at INFN Frascati National
Laboratories near Rome (Italy); the operations needed to restore the
functionalities of the apparatus are currently underway. We present the setup
of the experiment and the sensitivity forecasts for the detection of axions,
scalar fields, chameleons, hidden photons, and GWs
Measurement of the transition form factor with the KLOE detector
A measurement of the vector to pseudoscalar conversion decay φ→π0e+e−φ→π0e+e− with the KLOE experiment is presented. A sample of ∼9500 signal events was selected from a data set of 1.7 fb−1 of e+e−e+e− collisions at View the MathML sources∼mφ collected at the DAΦNE e+e−e+e− collider. These events were used to perform the first measurement of the transition form factor |Fφπ0(q2)||Fφπ0(q2)| and a new measurement of the branching ratio of the decay: View the MathML sourceBR(φ→π0e+e−)=(1.35±0.05−0.10+0.05)×10−5. The result improves significantly on previous measurements and is in agreement with theoretical predictions
