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
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
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:
Alessandro Teta, Rodolfo Figari
Publikováno v:
Mathematics and Mechanics of Complex Systems. 4:235-254
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
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
Autor:
Alessandro Teta
Publikováno v:
A Mathematical Primer on Quantum Mechanics ISBN: 9783319778921
We recall some basic notions of Classical Physics useful to understand the birth and the formulation of Quantum Mechanics. We introduce Hamilton’s equations of motion and discuss the main properties of Poisson brackets, canonical transformations, H
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de4310ec744f713e822b1bd0406b7c5e
https://doi.org/10.1007/978-3-319-77893-8_1
https://doi.org/10.1007/978-3-319-77893-8_1
Autor:
Alessandro Teta
Publikováno v:
A Mathematical Primer on Quantum Mechanics ISBN: 9783319778921
We introduce the basic physical ideas of Quantum Mechanics following the line of thought of Schrodinger Wave Mechanics. Exploiting the analogy between Optics and Mechanics, we arrive at the formulation of the Schrodinger equation. Moreover, Born’s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28c0f90c8738daa6495e554a89812de2
https://doi.org/10.1007/978-3-319-77893-8_3
https://doi.org/10.1007/978-3-319-77893-8_3