33 citations · 158 across the 13 of their papers we have counts for
14 papers
Unitarity of quantum tunneling decay for an analytical exact non-Hermitian resonant-state approach
Gastón García-Calderón, Roberto Romo
By using an exact analytical non-Hermitian formalism involving the full set of resonance (quasinormal) states and complex energy eigenvalues for quantum tunneling decay, we show th…
Effect of the resonance spectra in the propagation of two decaying entangled particles
Gastón García-Calderón, Roberto Romo, Miguel Ángel Terán
An exact analytical solution of the decaying wave function of two identical noninteracting particles, which are entangled by spatial symmetry, is used to analyze the effect of the…
The exponential-nonexponential transition in quantum decay as a phenomenon of interference in time domain of the decaying particle with itself
Gastón García-Calderón, Roberto Romo
By using an exact analytical non-Hermitian approach in terms of resonance (quasinormal) states we express the decaying wave function as the sum of exponential and nonexponential de…
Heisenberg uncertainty relations for the non-Hermitian resonance state solutions to the Schrödinger equation
Gastón García-Calderón, Jorge Villavicencio
Resonance (quasinormal) states correspond to non-Hermitian solutions to the Schrödinger equation obeying outgoing boundary conditions which lead to complex energy eigenvalues and m…
Exact analytical non-Hermitian formulation of the time evolution of decay of one and two identical quantum particles
Gastón García-Calderón
An analytical solution to the time evolution of decay of one and two identical noninteracting particles is presented using the formalism of resonant states. It is shown that the ti…
Nonexponential tunneling decay of a single ultracold atom
Gastón García-Calderón, Roberto Romo
By using an exact analytical approach to the time evolution of decay we investigate the tunneling decay of ultracold single atoms, to discuss the conditions for deviations of the e…
Underlying non-Hermitian character of the Born rule in open quantum systems
Gastón García-Calderón, Lorea Chaos-Cador
The absolute value squared of the probability amplitude corresponding to the overlap of an initial state with a continuum wave solution to the Schrödinger equation of the problem,…
Time evolution of decay for purely absorptive potentials: The effect of spectral singularities
Gastón García-Calderón, Lorea Chaos-Cador
We consider an analytical approach that involves the complex poles of the propagator to investigate the effect due to the lack of time reversal invariance on the time evolution of…
Analytical study of quadratic and non-quadratic short-time behavior of quantum decay
Sergio Cordero, Gastón García-Calderón
The short-time behavior of quantum decay of an unstable state initially located within an interaction region of finite range is investigated using a resonant expansion of the survi…
Hermitian and non-Hermitian formulations of the time evolution of quantum decay
Gastón García-Calderón, Alejandro Máttar, Jorge Villavicencio
This work discusses Hermitian and non-Hermitian formulations for the time evolution of quantum decay, that involve respectively, continuum wave functions and resonant states, to sh…
Time evolution of decay of two identical quantum particles
Gastón García-Calderón, Luis Guillermo Mendoza-Luna
An analytical solution for the time evolution of decay of two identical non interacting quantum particles seated initially within a potential of finite range is derived using the f…
Quantum shutter approach to tunneling time scales with wave packets
Norifumi Yamada, Gastón García-Calderón, Jorge Villavicencio
The quantum shutter approach to tunneling time scales (G. Garc\'{ı}a-Calderón and A. Rubio, Phys. Rev. A \textbf{55}, 3361 (1997)), which uses a cutoff plane wave as the initial co…
Transient time-domain resonances and the time scale for tunneling
Gastón García-Calderón, Jorge Villavicencio
Transient {\it time-domain resonances} found recently in time-dependent solutions to Schrödinger's equation are used to investigate the issue of the tunneling time in rectangular p…
Time scale of forerunners in quantum tunneling
G. Garcia-Calderon, Jorge Villavicencio, F. Delgado +1
The forerunners preceding the main tunneling signal of the wave created by a source with a sharp onset or by a quantum shutter, have been generally associated with over-the-barrier…