arXiv subjects

F. Escalante

Publications and source records attributed to F. Escalante.

4 recordsLinked to original sources

arXiv2022

Zeta function regularization technique in the electrostatics context for discrete charge distributions

Spectral functions, such as the zeta functions, are widely used in Quantum Field Theory to calculate physical quantities. In this work, we compute the electrostatic potential and field due to an infinite discrete distribution of point charges, using the zeta function regularization technique. This method allows us to remove the infinities that appear in the resulting expression. We found that the asymptotic behavior dependence of the potential and field is similar to the cases of continuous charge distribution. Finally, this exercise can be useful for graduate students to explore spectral and special functions.

physics.class-ph↗

arXiv2021

Repeat a physics course more than once: A diagnosis of the most frequent misconceptions in newtonian mechanics of first and second-year engineering students

In this work, we study a sample of 600 engineering students in three consecutive physics courses of different levels, according to their curriculum. We focus on the most frequent students' misconceptions in newtonian mechanics. It was administered the FCI test at the beginning of the academic semester in each course. We use the taxonomy of misconceptions probed in the FCI test, and through this, we establish correlations between the number of attempts in each course, to explore if there are misconceptions that repeat in the students that are on more than one attempt-in each course. The data reported in this paper were analyzed using the method of dominant incorrect answers. The results show that there is no relevant difference between a student on his first attempt and a student on his third or more attempt, in each course, in terms of the most frequent misconceptions.

physics.ed-ph↗

arXiv2021

Electrostatic potential and electric field in the $z$ axis of a non centered circular charged ring

In introductory level electromagnetism courses the calculation of electrostatic potential and electric field in an arbitrary point is a very common exercise. One of the most viewed cases is the calculation of electrostatic potential and electric field in the symmetry axis of a centered ring and it has been widely studied the potential off the axis of a charged ring centered in the origin coordinate. In this work, we calculated the electrostatic potential and electric field in the $z$ axis of a non centered charged ring using elliptic integrals as an pedagogical example of the application of special functions in electromagnetism.

physics.class-ph↗

arXiv2017

Casimir Energy in a Bounded Gross-Neveu model

In this letter we study some relevant physical parameters of the massless Gross-Neveu model in a finite spatial dimension for different boundary conditions. It is considered the standard homogeneous Hartree Fock solution using zeta function regularization for the study the mass dynamically generated and its respective beta function. It is found that the beta function does not depend on the Boundary conditions. On the other hand, it was considered the Casimir effect of the resulting effective theory. There appears a complex picture where the sign of the generated forces depends on the parameters used in the study.

hep-th↗