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pro vyhledávání: '"Figari, Rodolfo"'
Autor:
Figari, Rodolfo, Teta, Alessandro
We briefly summarize the most relevant steps in the search of rigorous results about the properties of quantum systems made of three bosons interacting with zero-range forces. We also describe recent attempts to solve the unboundedness problem of poi
Externí odkaz:
http://arxiv.org/abs/2001.10462
We outline an unified introduction to the evolution equations of classical and quantum systems intended for a high school students audience. The attempt consists in circumventing the lack of mathematical knowledge with the use of simplified forms of
Externí odkaz:
http://arxiv.org/abs/1705.11141
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We examine the suppression of quantum beating in a one dimensional non- linear double well potential, made up of two focusing nonlinear point interactions. The investigation of the Schr\"odinger dynamics is reduced to the study of a system of coupled
Externí odkaz:
http://arxiv.org/abs/1610.00379
Autor:
Figari, Rodolfo, Teta, Alessandro
We analyze the paper "The wave mechanics of $\alpha$-ray tracks" (Mott, 1929), published in 1929 by N.F. Mott. In particular, we discuss the theoretical context in which the paper appeared and give a detailed account of the approach used by the autho
Externí odkaz:
http://arxiv.org/abs/1209.2665
Publikováno v:
Asymptotic Analysis, vol. 91 (2015) 253-264
We consider a one dimensional evolution problem modeling the dynamics of an acoustic field coupled with a set of mechanical oscillators. We analyze solutions of the system of ordinary and partial differential equations with time-dependent boundary co
Externí odkaz:
http://arxiv.org/abs/1207.5676
We examine perturbations of eigenvalues and resonances for a class of multi-channel quantum mechanical model-Hamiltonians describing a particle interacting with a localized spin in dimension $d=1,2,3$. We consider unperturbed Hamiltonians showing eig
Externí odkaz:
http://arxiv.org/abs/1006.1372
Publikováno v:
J. Phys. A: Math. Theor. 42 (2009) 035202
In dimension $d=1,2,3$ we define a family of two-channel Hamiltonians obtained as point perturbations of the generator of the free decoupled dynamics. Within the family we choose two Hamiltonians, $\hat H_0$ and $\hat H_\ve$, giving rise respectively
Externí odkaz:
http://arxiv.org/abs/0807.3924
We analyze a one dimensional quantum system consisting of a test particle interacting with two harmonic oscillators placed at the positions $a_1$, $a_2$, with $a_1 >0$, $|a_2|>a_1$, in the two possible situations: $a_2>0$ and $a_2 <0$. At time zero t
Externí odkaz:
http://arxiv.org/abs/0711.2230