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- W2030794893 abstract "We consider a quantum system in dimension three composed by a group of N identical fermions, with mass 1/2, interacting via zero-range interaction with a group of M identical fermions of a different type, with mass m/2. Exploiting a renormalization procedure, we construct the corresponding quadratic form and define the so-called Skornyakov-Ter-Martirosyan extension Hα, which is the natural candidate as a possible Hamiltonian of the system. It is shown that if the form is unbounded from below then Hα is not a self-adjoint and bounded from below operator, and this in particular suggests that the so-called Thomas effect could occur. In the special case N = 2, M = 1 we prove that this is in fact the case when a suitable condition on the parameter m is satisfied." @default.
- W2030794893 created "2016-06-24" @default.
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- W2030794893 date "2012-04-01" @default.
- W2030794893 modified "2023-09-23" @default.
- W2030794893 title "Quadratic Forms for the Fermionic Unitary Gas Model" @default.
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- W2030794893 doi "https://doi.org/10.1016/s0034-4877(12)60022-6" @default.
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