Three-Body Phase Shift in One-Dimensional 2 + 1 Scattering

1998 ◽  
Vol 23 (1-2) ◽  
pp. 87-109 ◽  
Author(s):  
A. Amaya-Tapia ◽  
S. Y. Larsen ◽  
J. Popiel
Keyword(s):  
Phase Shift ◽  
One Dimensional ◽  
Three Body

Effects of Decoherence on the Nonlinear Optical Phase Shift Obtained from a One-Dimensional Atom

2004 ◽  
Vol 43 (11A) ◽  
pp. 7495-7500 ◽  
Author(s):  
Hisaki Oka ◽  
Holger F. Hofmann ◽  
Shigeki Takeuchi ◽  
Keiji Sasaki
Keyword(s):  
Phase Shift ◽  
Nonlinear Optical ◽  
One Dimensional ◽  
Optical Phase

scholarly journals One-dimensional three-boson problem with two- and three-body interactions

2018 ◽  
Vol 97 (6) ◽  
Author(s):  
G. Guijarro ◽  
A. Pricoupenko ◽  
G. E. Astrakharchik ◽  
J. Boronat ◽  
D. S. Petrov
Keyword(s):  
One Dimensional ◽  
Three Body

scholarly journals Reflection phase shift of one-dimensional plasmon polaritons in carbon nanotubes

2020 ◽  
Vol 101 (4) ◽  
Author(s):  
Xingdong Luo ◽  
Cheng Hu ◽  
Bosai Lyu ◽  
Liu Yang ◽  
Xianliang Zhou ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Phase Shift ◽  
One Dimensional ◽  
Reflection Phase ◽  
Plasmon Polaritons

Phase shift of solitary wave in a one-dimensional granular chain

2019 ◽  
Vol 33 (10) ◽  
pp. 1950085
Author(s):  
Xian-Qing Yang ◽  
Yao Yang ◽  
Yang Jiao ◽  
Wei Zhang
Keyword(s):  
Phase Shift ◽  
Solitary Wave ◽  
Numerical Scheme ◽  
Binary Collision ◽  
One Dimensional ◽  
Binary Collision Approximation ◽  
Fifth Order ◽  
The Waves ◽  
Theoretical Results ◽  
Collision Approximation

In this paper, both the fifth-order Runge–Kutta numerical scheme and binary collision approximation are used to study the phase shift. Both numerical and theoretical results are shown that the solitary wave after head-on collision propagates along the chain behind the reference wave in both even and odd numbers of grain chains. It is the well-known feature of the appearance of the phase shift. Those results are in agreement with the experimental results. Furthermore, it is found that the phase shift is not only related to the collision position of the waves, but also to the position where the time is measured. The value of phase shift increases nonmonotonously with increasing the velocity of the opposite propagation of the wave. Binary collision approximation is applied to analyze the phase shift, and it is found that theoretical results agree well with numerical results, especially in the case of phase shift in odd chain.

scholarly journals A quantum field-theoretical perspective on scale anomalies in 1D systems with three-body interactions

2019 ◽  
Vol 34 (35) ◽  
pp. 1950291 ◽  
Author(s):  
W. S. Daza ◽  
J. E. Drut ◽  
C. L. Lin ◽  
C. R. Ordóñez
Keyword(s):  
Energy Momentum Tensor ◽  
Scattering Amplitude ◽  
Theoretical Perspective ◽  
Dimensional Regularization ◽  
Momentum Tensor ◽  
Quantum Field ◽  
One Dimensional ◽  
Scattering States ◽  
Three Body ◽  
Canonical Quantum

We analyze, from a canonical quantum field theory (QFT) perspective, the problem of one-dimensional particles with three-body attractive interactions, which was recently shown to exhibit a scale anomaly identical to that observed in two-dimensional (2D) systems with two-body interactions. We study in detail the properties of the scattering amplitude including both bound and scattering states, using cutoff and dimensional regularization, and clarify the connection between the scale anomaly derived from thermodynamics to the nonvanishing non-relativistic trace of the energy–momentum tensor.

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