scholarly journals Bohr Hamiltonian with a deformation-dependent mass term for the Davidson potential

2011 ◽  
Vol 83 (4) ◽  
Author(s):  
Dennis Bonatsos ◽  
P. E. Georgoudis ◽  
D. Lenis ◽  
N. Minkov ◽  
C. Quesne
2020 ◽  
Vol 135 (7) ◽  
Author(s):  
A. Adahchour ◽  
S. Ait El Korchi ◽  
A. El Batoul ◽  
A. Lahbas ◽  
M. Oulne
Keyword(s):  

2013 ◽  
Vol 88 (3) ◽  
Author(s):  
Dennis Bonatsos ◽  
P. E. Georgoudis ◽  
N. Minkov ◽  
D. Petrellis ◽  
C. Quesne
Keyword(s):  

2019 ◽  
Vol 18 (03n04) ◽  
pp. 1940001
Author(s):  
C. A. Downing ◽  
M. E. Portnoi

We consider the problem of confining the famously elusive Dirac-like quasiparticles, as found in some recently discovered low-dimensional systems. After briefly surveying the existing theoretical proposals for creating bound states in Dirac materials, we study relativistic excitations with a position-dependent mass term. With the aid of an exactly-solvable model, we show how bound states begin to emerge after a critical condition on the size of the mass term is met. We also reveal some exotic properties of the unusual confinement discovered, including an elegant chevron structure of the bound state energies as a function of the size of the mass.


2010 ◽  
Vol 683 (4-5) ◽  
pp. 264-271 ◽  
Author(s):  
Dennis Bonatsos ◽  
P. Georgoudis ◽  
D. Lenis ◽  
N. Minkov ◽  
C. Quesne
Keyword(s):  

2017 ◽  
Vol 32 (14) ◽  
pp. 1750085 ◽  
Author(s):  
H. Hassanabadi ◽  
M. Alimohammadi ◽  
S. Zare

In this paper, the wave equation corresponding to the [Formula: see text]-rigid version of Bohr Hamiltonian for the modified Davidson potential is investigated in the position-dependent mass formalism. By solving the related differential equation, the wave function, energy spectra and transition rates are obtained. In order to evaluate our results, they are compared with experimental data through the standard error.


2012 ◽  
Vol 2012 (4) ◽  
Author(s):  
Philippe de Forcrand ◽  
Aleksi Kurkela ◽  
Marco Panero
Keyword(s):  

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