One-dimensional "atom" with zero-range potential perturbed by finite sequence of zero-duration laser pulses

2018 ◽  
Author(s):  
Vladimir L. Derbov ◽  
Alexander A. Gusev ◽  
Ochbadrakh Chuluunbaatar ◽  
Sergue I. Vinitsky ◽  
Yuri V. Popov ◽  
...  
Keyword(s):  
Finite Sequence ◽  
Laser Pulses ◽  
One Dimensional ◽  
Range Potential ◽  
Zero Range

ATOMIC STABILIZATION IN THE PRESENCE OF INTENSE LASER PULSES

1994 ◽  
Vol 08 (13) ◽  
pp. 1655-1698 ◽  
Author(s):  
Q. SU ◽  
A. SANPERA ◽  
L. ROSO-FRANCO
Keyword(s):  
Strong Field ◽  
Time Integration ◽  
Laser Pulses ◽  
Intense Laser ◽  
Single Atom ◽  
One Dimensional ◽  
Short Range Potential ◽  
Light Pulses ◽  
Range Potential ◽  
Typical Experiment

The nonperturbative response of atomic systems under strong laser radiation has been an important area of research both experimentally and theoretically. In a typical experiment, a very high power laser (operating at an intensity of the order of 1013 W/cm 2 or higher, delivering 1 µm wavelength light pulses with duration from a few pico-seconds down to a few hundred femto-seconds) is focused down to a tight spot in space filled with dilute gas where ionization occurs. These experiments have been successful in studying the single-atom strong-field physics where the predictions of ionization based on low-field perturbation theory are invalid. Various theories have been used to explain new effects associated with different intensity regions. In this review we intend to summarize the steps for arriving at a new theoretical prediction of atoms in laser pulses of intensity 1016 W/cm 2 or stronger. The prediction that atoms tend to stabilize in laser pulses strong enough to produce full ionization is rather counter-intuitive. The phenomenon of atomic stabilization will be introduced through space-time integration of Schrödinger equation. A more quantitative account of the associated effects during a stabilization will be analyzed through a simplified one-dimensional long-range potential. To further understand the features of stabilization, a one-dimensional short-range potential is also employed. We will mention some possible experimental consequences of stabilization.

Multiphoton detachment from a zero-range potential revisited

2010 ◽  
Vol 283 (5) ◽  
pp. 850-854
Author(s):  
W. Becker ◽  
D.B. Milošević
Keyword(s):  
Range Potential ◽  
Zero Range ◽  
Multiphoton Detachment

scholarly journals FERMIONIC DUAL OF ONE-DIMENSIONAL BOSONIC PARTICLES WITH DERIVATIVE DELTA FUNCTION POTENTIAL

2010 ◽  
Vol 25 (09) ◽  
pp. 715-725
Author(s):  
B. BASU-MALLICK ◽  
TANAYA BHATTACHARYYA
Keyword(s):  
Center Of Mass ◽  
Delta Function ◽  
Bose Gas ◽  
Duality Relation ◽  
Coupling Constant ◽  
Range Interaction ◽  
Fermionic System ◽  
One Dimensional ◽  
Zero Range ◽  
Function Potential

We investigate the boson–fermion duality relation for the case of quantum integrable derivative δ-function Bose gas. In particular, we find a dual fermionic system with nonvanishing zero-range interaction for the simplest case of two bosonic particles with derivative δ-function interaction. The coupling constant of this dual fermionic system becomes inversely proportional to the product of the coupling constant of its bosonic counterpart and the center-of-mass momentum of the corresponding eigenfunction.

On quantum scattering by δ'(x)} and quasi δ'(x) distributions

2007 ◽  
Vol 85 (9) ◽  
pp. 967-979
Author(s):  
R K Dubey ◽  
V J Menon ◽  
M K Pandey ◽  
D N Tripathi
Keyword(s):  
Quantum Scattering ◽  
Length Scale ◽  
Range Interaction ◽  
One Dimensional ◽  
Transmission Amplitude ◽  
Reflection Amplitude ◽  
Scattering Wave ◽  
Zero Range ◽  
Ordinary Point ◽  
The One

The zero-range interaction U(x) occurring in the one-dimensional, time-independent Schrödinger equation is regarded as a smoothed distribution characterized by a tiny length scale b such that the origin becomes an ordinary point. A neighbourhood around the origin is scanned by defining inner demarcation points a±≡ ±b/N and outer demarcation points b±≡ ±Nb with N >> 1. Then a sequence of simple Lemmas permits (i) construction of a systematic procedure for simultaneously solving the scattering wave function ψ(0) at the origin, its derivative ψ'(0) there, the transmission amplitude B, as well as the reflection amplitude D; and (ii) unambiguous application to scattering by the previously known δ'(x) and newly proposed quasi δ'(x) potentials in the Cauchy representation of various distributions.PACS No.: 03.65.Nk

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