22 citations · 63 across the 16 of their papers we have counts for
16 papers
A -Sturm Liouville problem associated with the general quantum operator
José Luis Cardoso
Let be an interval and a strictly increasing and continuous function with a unique fixed point which satisfies $…
Method for finding the exact effective Hamiltonian of time driven quantum systems
J. C. Sandoval-Santana, V. G. Ibarra-Sierra, J. L. Cardoso +3
Time-driven quantum systems are important in many different fields of physics like cold atoms, solid state, optics, etc. Many of their properties are encoded in the time evolution…
Uniform convergence of Fourier-Bessel series on a q-linear grid
L. D. Abreu, R. Álvarez-Nodarse, J. L. Cardoso
We study Fourier-Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with the third Jackson q-Bessel function, and obtain sufficien…
On Basic Fourier-Bessel Expansions
José Luis Cardoso
When dealing with Fourier expansions using the third Jackson (also known as Hahn-Exton) -Bessel function, the corresponding positive zeros and the "shifted" zeros, $qj_…
Singularities and internal rotational dynamics of electron beams
D. Velasco-Martínez, V. G. Ibarra-Sierra, J. C. Sandoval-Santana +2
We study the internal rotational dynamics of electronic beams in relation to the phase singularities of their wave functions. Given their complex singularity structure, Hermite-Gau…
Time evolution of two-dimensional quadratic Hamiltonians: A Lie algebraic approach
V. G. Ibarra-Sierra, J. C. Sandoval-Santana, J. L. Cardoso +1
We develop a Lie algebraic approach to systematically calculate the evolution operator of the generalized two-dimensional quadratic Hamiltonian with time-dependent coefficients. Al…