7 citations · 14 across the 9 of their papers we have counts for
9 papers
Constructing the Hamiltonian for a free 1D KFGM particle in an interval
Techapon Kampu, Salvatore De Vincenzo
We analyze the problem of a free 1D Klein-Fock-Gordon-Majorana (KFGM) particle in an interval. By free, we mean that there is no potential within the interval and that its walls ar…
Nontrivial local observables and impermeable and permeable boundary conditions for 1D KFGM particles
Techapon Kampu, Salvatore De Vincenzo
Real solutions of the 1D Klein-Fock-Gordon (KFG) equation automatically cancel out the usual two-vector current density; consequently, the respective continuity equation is trivial…
On the locus formed by the maximum heights of an ultra-relativistic projectile
Salvatore De Vincenzo
We consider the problem of relativistic projectiles in a uniform gravitational force field in an inertial frame. For the first time, we have found the curve that joins the points o…
Characterizing Klein-Fock-Gordon-Majorana particles in (1+1) dimensions
Salvatore De Vincenzo
Theoretically, in (1+1) dimensions, one can have Klein-Fock-Gordon-Majorana (KFGM) particles. More precisely, these are one-dimensional (1D) Klein-Fock-Gordon (KFG) and Majorana pa…
On a paradox in quantum mechanics and its resolution
Padtarapan Banyadsin, Salvatore De Vincenzo
Consider a free Schrödinger particle inside an interval with walls characterized by the Dirichlet boundary condition. Choose a parabola as the normalized state of the particle that…
General pseudo self-adjoint boundary conditions for a 1D KFG particle in a box
Salvatore De Vincenzo
We consider a 1D Klein-Fock-Gordon particle in a finite interval, or box. We construct for the first time the most general set of pseudo self-adjoint boundary conditions for the Ha…
The Dirac impenetrable barrier in the limit point of the Klein energy zone
Salvatore De Vincenzo
We reanalyze the problem of a 1D Dirac single particle colliding with the electrostatic potential step of height with a positive incoming energy that tends to the limit poi…
On the mean value of the force operator for 1D particles in the step potential
Salvatore De Vincenzo
In the one-dimensional Klein-Fock-Gordon theory, the probability density is a discontinuous function at the point where the step potential is discontinuous. Thus, the mean value of…
On wave equations for the Majorana particle in (3+1) and (1+1) dimensions
Salvatore De Vincenzo
In general, the relativistic wave equation considered to mathematically describe the so-called Majorana particle is the Dirac equation with a real Lorentz scalar potential plus the…