28 citations · 40 across the 8 of their papers we have counts for
9 papers
Exact classical limit of the quantum bouncer
Juan A. Cañas, J. Bernal, A. Martín-Ruiz
In this paper we develop a systematic approach to determine the classical limit of periodic quantum systems and applied it successfully to the problem of the quantum bouncer. It is…
Testing the equivalence principle with time-diffracted free-falling quantum particles
Juan A. Cañas, J. Bernal, A. Martín-Ruiz
The equivalence principle of gravity is examined at the quantum level using the diffraction in time of matter waves in two ways. First, we consider a quasi-monochromatic beam of pa…
On the correspondence principle for the Klein-Gordon and Dirac Equations
K. G. Hernández, S. E. Aguilar, J. Bernal
We investigate the asymptotic behavior of the solutions to the Klein-Gordon and Dirac equations using the local spatial averaging approach to Bohr's correspondence principle in the…
Tunneling of Polymer Particles
A. Martín-Ruiz, E. Chan-López, A. Carbajal-Domínguez +1
In this paper we study the tunneling using a background independent (polymer) quantization scheme. We show that at low energies, for the tunneling through a single potential barrie…
Half-integer order Bessel beams
Adrian Carbajal-Dominguez, Jorge Bernal, Alberto Martin-Ruiz +2
Optical beams are solutions to the paraxial wave equation (PWE). In this work we report a new, to our knowledge, optical beam. We solve the PWE by using the angular spectrum of pla…
Macroscopic quantum behaviour of periodic quantum systems
A. Martín-Ruiz, J. Bernal, Adrián Carbajal-Domínguez
In this paper we introduce a simple procedure for computing the macroscopic quantum behaviour of periodic quantum systems in the high energy regime. The macroscopic quantum coheren…
A simple mathematical formulation of the correspondence principle
J. Bernal, Alberto Martín-Ruiz, J. C. García-Melgarejo
In this paper we suggest a simple mathematical procedure to derive the classical probability density of quantum systems via Bohr's correspondence principle. Using Fourier expansion…
Generation of J0 Bessel Beams with controlled spatial coherence features
Adrian Carbajal-Dominguez, Jorge Bernal, Alberto Martin-Ruiz +1
An alternative method to generate J0 Bessel beams with controlled spatial partial coherence properties is introduced. Far field diffraction from a discrete number of source points…
Exact calculation of the number of degrees of freedom of a rigid body constituted by n particles
Jorge Bernal, Roberto Flowers-Cano, Adrian Carbajal-Dominguez
In this work we discuss how to correctly obtain the number of degrees of freedom of a system constituted by n particles with fixed relative distances and which are immerse in a thr…