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12 papers · 1 filter
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…
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…
Quantum Next Generation Reservoir Computing: An Efficient Quantum Algorithm for Forecasting Quantum Dynamics
Apimuk Sornsaeng, Ninnat Dangniam, Thiparat Chotibut
Next Generation Reservoir Computing (NG-RC) is a modern class of model-free machine learning that enables an accurate forecasting of time series data generated by dynamical systems…
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…