Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Giachetti, Riccardo"'
Autor:
Giachetti, Riccardo, Sorace, Emanuele
Motivated by the recent experimental measures of the 2p-states fine splitting of the muonic He4 ion [1], we think it may have some interest to present an independent calculation in terms of the two-body relativistic equation for a scalar and a fermio
Externí odkaz:
http://arxiv.org/abs/2111.06674
Autor:
Giachetti, Riccardo, Sorace, Emanuele
We revisit the derivation of the covariant two-body scalar-fermion equation with a Coulomb interaction, presented in a previous paper. We show that it can be given the formal aspect of a Dirac equation, but for the fact that the eigenvalue is also co
Externí odkaz:
http://arxiv.org/abs/2012.14299
Autor:
Giachetti, Riccardo, Sorace, Emanuele
The relativistic quantum mechanics of two interacting particles is considered. We first present a covariant formulation of kinematics and of reduced phase space, giving a short outline of the classical results. We then quantize the systems for the sc
Externí odkaz:
http://arxiv.org/abs/1810.10617
Autor:
Giachetti, Riccardo, Grecchi, Vincenzo
We consider a family of quantum Hamiltonians $H_\hbar=-\hbar^2\,(d^2\!/dx^2) +V(x)$, $x\in\mathbb{R},$ $\hbar>0,$ where $V(x)=i(x^3-x)$ is an imaginary double well potential. We prove the existence of infinite eigenvalue crossings with the selection
Externí odkaz:
http://arxiv.org/abs/1607.00190
Autor:
Giachetti, Riccardo, Grecchi, Vincenzo
We consider a \textit{PT}-symmetric cubic oscillator with an imaginary double well. We prove the existence of an infinite number of level crossings with a definite selection rule. Decreasing the positive parameter $\hbar$ from large values, at a valu
Externí odkaz:
http://arxiv.org/abs/1506.01637
Autor:
Giachetti, Riccardo, Grecchi, Vincenzo
We make a nodal analysis of the processes of level crossings in a model of quantum mechanics with a PT-symmetric double well. We prove the existence of infinite crossings with their selection rules. At the crossing, before the PT-symmetry breaking an
Externí odkaz:
http://arxiv.org/abs/1410.8460
Autor:
Giachetti, Riccardo, Grecchi, Vincenzo
Publikováno v:
J.Phys.A44:095308,2011
We consider the one-dimensional Dirac equation for the harmonic oscillator and the associated second order separated operators giving the resonances of the problem by complex dilation. The same operators have unique extensions as closed PT-symmetric
Externí odkaz:
http://arxiv.org/abs/1005.3633
Autor:
Giachetti, Riccardo
Publikováno v:
In Applied Numerical Mathematics September 2012 62(9):1119-1125
Autor:
Barducci, Andrea1,2 barducci@fi.infn.it, Giachetti, Riccardo1,2 giachetti@fi.infn.it, Sorace, Emanuele2 sorace@fi.infn.it
Publikováno v:
EPJ Web of Conferences. 2017, Vol. 137, p1-6. 6p.
Autor:
Giachetti, Riccardo1 riccardo.giachetti@unifi.it, Grecchi, Vincenzo2 vincenzo.grecchi@unibo.it
Publikováno v:
International Journal of Theoretical Physics. Nov2015, Vol. 54 Issue 11, p3889-3899. 11p.