Zobrazeno 1 - 10
of 505
pro vyhledávání: '"Amore, Paolo"'
Autor:
Amore, Paolo, Fernández, Francisco M.
In this short note we resort to the well known Hellmann-Feynman theorem to prove that some non-relativistic Hamiltonian operators support an infinite number of bound states.
Externí odkaz:
http://arxiv.org/abs/2408.00787
Autor:
Amore, Paolo, Zayas, Leopoldo A. Pando, Pedraza, Juan F., Quiroz, Norma, Terrero-Escalante, César A.
We consider a truncation of the BMN matrix model to a configuration of two fuzzy spheres, described by two coupled non-linear oscillators dependent on the mass parameter $\mu$. The classical phase diagram of the system generically ($\mu \neq 0$) cont
Externí odkaz:
http://arxiv.org/abs/2407.07259
Autor:
Amore, Paolo
We have studied the packing of congruent disks on a spherical cap, for caps of different size and number of disks, $N$. This problem has been considered before only in the limit cases of circle packing inside a circle and on a sphere (Tammes problem)
Externí odkaz:
http://arxiv.org/abs/2406.02851
We test the analytical expressions for the first two eigenvalues of the harmonic oscillator with a Gaussian perturbation proposed recently. Our numerical eigenvalues show that those expressions are valid in an interval of the coupling parameter that
Externí odkaz:
http://arxiv.org/abs/2403.08767
We describe an algorithm that allows one to find dense packing configurations of a number of congruent disks in arbitrary domains in two or more dimensions. We have applied it to a large class of two dimensional domains such as rectangles, ellipses,
Externí odkaz:
http://arxiv.org/abs/2308.16523
Autor:
Amore, Paolo, Zarate, Ulises
We investigate the classical ground state of a large number of charges confined inside a disk and interacting via the Coulomb potential. By realizing the important role that the peripheral charges play in determining the lowest energy solutions, we h
Externí odkaz:
http://arxiv.org/abs/2307.15683
Based on numerical simulations that we have carried out, we provide evidence that for regular polygons with $\sigma= 6j$ sides (with $j=2,3,\dots$), $N(k)=3 k (k+1)+1$ (with $k=1,2,\dots$) congruent disks of appropriate size can be nicely packed insi
Externí odkaz:
http://arxiv.org/abs/2301.13161
Autor:
Amore, Paolo
We study the packing of a large number of congruent and non--overlapping circles inside a regular polygon. We have devised efficient algorithms that allow one to generate configurations of $N$ densely packed circles inside a regular polygon and we ha
Externí odkaz:
http://arxiv.org/abs/2212.12287
Autor:
Amore, Paolo, Fernández, Francisco M.
In this Paper we analyze a model proposed recently with the purpose of studying the effects of rotation on the interaction of a point charge with a uniform magnetic field in an elastic medium with a spiral dislocation. In particular we focus on the a
Externí odkaz:
http://arxiv.org/abs/2207.11253
We study the behavior of a quantum particle trapped in a confining potential in one dimension under multiple sudden changes of velocity and/or acceleration. We develop the appropriate formalism to deal with such situation and we use it to calculate t
Externí odkaz:
http://arxiv.org/abs/2206.01354