Bound States in One Dimension

Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen
Keyword(s):  
Author(s):  
Lucas Happ ◽  
Matthias Zimmermann ◽  
Maxim A Efremov

Abstract We study a heavy-heavy-light three-body system confined to one space dimension in the regime where an excited state in the heavy-light subsystems becomes weakly bound. The associated two-body system is characterized by (i) the structure of the weakly-bound excited heavy-light state and (ii) the presence of deeply-bound heavy-light states. The consequences of these aspects for the behavior of the three-body system are analyzed. We find a strong indication for universal behavior of both three-body binding energies and wave functions for different weakly-bound excited states in the heavy-light subsystems.


Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen
Keyword(s):  

Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen
Keyword(s):  

Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen
Keyword(s):  

Open Physics ◽  
2013 ◽  
Vol 11 (4) ◽  
Author(s):  
Omar Mustafa

AbstractWe extend Panella and Roy’s [17] work for massless Dirac particles with position-dependent (PD) velocity. We consider Dirac particles where the mass and velocity are both position-dependent. Bound states in the continuum (BIC)-like and discrete bound state solutions are reported. It is observed that BIC-like solutions are not only feasible for the ultra-relativistic (massless) Dirac particles but also for Dirac particles with PDmass and PD-velocity that satisfy the condition m(x) v F2 (x) = A, where A ≥ 0 is constant. Dirac Pöschl-Teller and harmonic oscillator models are also reported.


Science ◽  
2020 ◽  
Vol 367 (6473) ◽  
pp. 104-108 ◽  
Author(s):  
Zhenyu Wang ◽  
Jorge Olivares Rodriguez ◽  
Lin Jiao ◽  
Sean Howard ◽  
Martin Graham ◽  
...  

The possible realization of Majorana fermions as quasiparticle excitations in condensed-matter physics has created much excitement. Most studies have focused on Majorana bound states; however, propagating Majorana states with linear dispersion have also been predicted. Here, we report scanning tunneling spectroscopic measurements of crystalline domain walls (DWs) in FeSe0.45Te0.55. We located DWs across which the lattice structure shifts by half a unit cell. These DWs have a finite, flat density of states inside the superconducting gap, which is a hallmark of linearly dispersing modes in one dimension. This signature is absent in DWs in the related superconductor, FeSe, which is not in the topological phase. Our combined data are consistent with the observation of dispersing Majorana states at a π-phase shift DW in a proximitized topological material.


2010 ◽  
pp. 32-62
Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen ◽  
Tilo Stroh
Keyword(s):  

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