scholarly journals Reflection of a Lieb–Liniger wave packet from the hard-wall potential

2010 ◽  
Vol 12 (5) ◽  
pp. 055010 ◽  
Author(s):  
D Jukić ◽  
H Buljan
Keyword(s):  
2004 ◽  
Vol 69 (3) ◽  
Author(s):  
Minghui Kong ◽  
B. Partoens ◽  
A. Matulis ◽  
F. M. Peeters

2018 ◽  
Vol 27 (02) ◽  
pp. 1850005 ◽  
Author(s):  
R. L. L. Vitória ◽  
K. Bakke

We investigate the analog effect of the Aharonov–Bohm effect for bound states in two relativistic quantum systems in a spacetime with a spacelike dislocation. We assume that the topological defect has an internal magnetic flux. Then, we analyze the interaction of a charged particle with a uniform magnetic field in this topological defect spacetime, and thus, we extend this analysis to the confinement of a hard-wall potential and a linear scalar potential. Later, the interaction of the Klein–Gordon oscillator with a uniform magnetic field is analyzed. We first focus on the effects of torsion that stem from the spacetime with a spacelike dislocation and the geometric quantum phase. Then, we analyze the effects of torsion and the geometric quantum phase under the presence of a hard-wall potential and a linear scalar potential.


2020 ◽  
Vol 2020 ◽  
pp. 1-7 ◽  
Author(s):  
R. L. L. Vitória ◽  
H. Belich

Inspired by the extension of the Standard Model, we analyzed the effects of the spacetime anisotropies on a massive Dirac field through a nonminimal CPT-odd coupling in the Dirac equation, where we proposed a possible scenario that characterizes the breaking of the Lorentz symmetry which is governed by a background vector field and induces a Landau-type quantization. Then, in order to generalize our system, we introduce a hard-wall potential and, for a particular case, we determine the energy levels in this background. In addition, at the nonrelativistic limit of the system, we investigate the effects of the Lorentz symmetry violation on thermodynamic aspects of the system.


2007 ◽  
Vol 126 (1) ◽  
pp. 014302 ◽  
Author(s):  
Mohammad Hadi Ghatee ◽  
Fatemeh Niroomand-Hosseini

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