Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Alessandro Teta"'
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 39, Pp 205-216 (2018)
We present two possible strategies to obtain a lower bounded Hamiltonian for three bosons interacting through zero-range interactions. First, we investigate a family of zero-range Hamiltonians defined in a Hilbert space of tensorial wave functions. T
Externí odkaz:
https://doaj.org/article/1db668244fdf49b2bd7e27d6eed3e6c0
We study the Hamiltonian for a system of three identical bosons in dimension three interacting via zero-range forces. In order to avoid the fall to the center phenomenon emerging in the standard Ter-Martirosyan--Skornyakov (TMS) Hamiltonian, known as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::393d81cfaa4701220d1eb88165990b1a
https://hdl.handle.net/11573/1674639
https://hdl.handle.net/11573/1674639
Autor:
Rodolfo Figari, Alessandro Teta
Publikováno v:
Quantum and Stochastic Mathematical Physics ISBN: 9783031140303
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7623c55f9114bd5c89a5a05c95013a3
https://hdl.handle.net/11573/1677405
https://hdl.handle.net/11573/1677405
Autor:
Alessandro Teta, Rodolfo Figari
Publikováno v:
Mathematics and Mechanics of Complex Systems. 4:235-254
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c7cbc3506ac6897190fc2d88509677d
https://doi.org/10.2140/memocs.2016.4.235
https://doi.org/10.2140/memocs.2016.4.235
We consider a quantum model of two-channel scattering to describe the mechanism of a Feshbach resonance. We perform a rigorous analysis in order to count and localize the energy resonances in the perturbative regime, i.e., for small inter-channel cou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f197327c92e60b30d47317c8924645f0
https://hdl.handle.net/11384/79665
https://hdl.handle.net/11384/79665
Publikováno v:
Mathematical Physics, Analysis and Geometry. 21
We consider a quantum particle interacting with $N$ obstacles, whose positions are independently chosen according to a given probability density, through a two-body potential of the form $N^2 V(Nx)$ (Gross-Pitaevskii potential). We show convergence o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3196170986392f4b73486468393447f6
https://doi.org/10.1007/s11040-018-9268-2
https://doi.org/10.1007/s11040-018-9268-2
Autor:
Alessandro Teta
This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master's-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathemat
Autor:
Rodolfo Figari, Alessandro Teta
Publikováno v:
Archive for History of Exact Sciences. 67:215-234
We analyze the paper “The wave mechanics of \(\alpha \)-ray tracks” Mott (Proc R Soc Lond A 126:79–84, 1929), published in 1929 by N. F. Mott. In particular, we discuss the theoretical context in which the paper appeared and give a detailed acc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34bd22ba01a62870377a3464e5a1ee19
https://doi.org/10.1007/s00407-012-0111-z
https://doi.org/10.1007/s00407-012-0111-z
We consider a Hamiltonian describing three quantum particles in dimension one interacting through two-body short-range potentials. We prove that, as a suitable scale parameter in the potential terms goes to zero, such Hamiltonian converges to one wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::383eb33e8781131561fc85e0e678edc4
Autor:
Alessandro Teta
Publikováno v:
A Mathematical Primer on Quantum Mechanics ISBN: 9783319778921
We recall some fundamental notions of the theory of linear operators in Hilbert spaces which are required for a rigorous formulation of the rules of Quantum Mechanics in the one-body case. In particular, we introduce and discuss the main properties o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1895e84ba085b8687351f7c6e6598a69
https://doi.org/10.1007/978-3-319-77893-8_4
https://doi.org/10.1007/978-3-319-77893-8_4