Zobrazeno 1 - 10
of 62
pro vyhledávání: '"S. Fassari"'
Publikováno v:
Advances in Mathematical Physics, Vol 2016 (2016)
The ground state energy E0(λ) of Hλ=-d2/dx2-λe-x2 is computed for small values of λ by means of an approximation of an integral operator in momentum space. Such an approximation leads to a transcendental equation for which ϵ0(λ)=|E0(λ)|1/2 is
Externí odkaz:
https://doaj.org/article/7241f15953a84dbe8b7e19438f4d3aa9
Publikováno v:
Reports on Mathematical Physics. 88:195-202
In this note we provide a representation of Catalan's constant in terms of a series involving the values at the origin of the even eigenfunctions of the quantum harmonic oscillator .
Autor:
F. Rinaldi, S. Fassari
Publikováno v:
Nanosystems: Physics, Chemistry, Mathematics. 10:608-615
Publikováno v:
Symmetry
Volume 13
Issue 9
Symmetry, Vol 13, Iss 1561, p 1561 (2021)
Volume 13
Issue 9
Symmetry, Vol 13, Iss 1561, p 1561 (2021)
In this article, we provide an expansion (up to the fourth order of the coupling constant) of the energy of the ground state of the Hamiltonian of a quantum mechanical particle moving inside a parabolic well in the x-direction and constrained by the
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Publikováno v:
The European Physical Journal Plus. 136
In this paper, we provide a detailed description of the eigenvalue $$ E_{D}(x_0)\le 0$$ (respectively, $$ E_{N}(x_0)\le 0$$ ) of the self-adjoint Hamiltonian operator representing the negative Laplacian on the positive half-line with a Dirichlet (res
In this note we consider a one-dimensional quantum mechanical particle constrained by a parabolic well perturbed by a Gaussian potential. As the related Birman-Schwinger operator is trace class, the Fredholm determinant can be exploited in order to c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da6b57f6e44e3b3dc9e8745e95c1da24
http://arxiv.org/abs/2005.09245
http://arxiv.org/abs/2005.09245
In this paper we adapt the mathematical machinery presented in \cite{P1} to get, by means of the Laplace-Beltrami operator, the discrete spectrum of the Hamiltonian of the Schr\"{o}dinger operator perturbed by an actractive 3D delta interaction in a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::844ecf80364d97172f6d5a668040d6b1
http://arxiv.org/abs/2002.12110
http://arxiv.org/abs/2002.12110
Publikováno v:
Annals of Physics. 389:48-62
We consider the one-dimensional Hamiltonian with a V-shaped potential H 0 = 1 2 − d 2 d x 2 + | x | , decorated with a point impurity of either δ -type, or local δ ′ -type or even nonlocal δ ′ -type, thus yielding three exactly solvable mode
Publikováno v:
Acta Polytechnica, Vol 57, Iss 6, Pp 385-390 (2017)
We propose a new approach to the problem of finding the eigenvalues (energy levels) in the discrete spectrum of the one-dimensional Hamiltonian with an attractive Gaussian potential by using the well-known Birman-Schwinger technique. However, in plac