scholarly journals Bound states of the spin-orbit coupled ultracold atom in a one-dimensional short-range potential

2013 ◽  
Vol 54 (5) ◽  
pp. 051901 ◽  
Author(s):  
Rytis Juršėnas ◽  
Julius Ruseckas
Keyword(s):  
Short Range ◽  
Bound States ◽  
Ultracold Atom ◽  
Spin Orbit ◽  
One Dimensional ◽  
Short Range Potential ◽  
Range Potential

Bound States of Spinless Particles in a Short-Range Potential

2015 ◽  
Vol 70 (4) ◽  
pp. 245-249 ◽  
Author(s):  
Hassan Hassanabadi ◽  
Antonio Soares de Castro
Keyword(s):  
Short Range ◽  
Bound States ◽  
Bound State ◽  
Scalar Coupling ◽  
Spinless Particle ◽  
Vector Coupling ◽  
Short Range Potential ◽  
Range Potential ◽  
Constraint Relation ◽  
Potential Parameters

AbstractWith a general mixing of vector and scalar couplings in a two-dimensional world, a short-range potential is used to explore certain features of the bound states of a spinless particle. Bound-state solutions are found in terms of the Gauss hypergeometric series when the potential parameters obey a certain constraint relation limiting the dosage of a vector coupling. The appearance of the Schiff–Snyder–Weinberg effect for a strong vector coupling and a short-range potential as well as its suppression by the addition of a scalar coupling is discussed.

scholarly journals BOUND STATES OF SCALAR PARTICLES IN THE PRESENCE OF A SHORT RANGE POTENTIAL

2005 ◽  
Vol 20 (29) ◽  
pp. 2245-2251 ◽  
Author(s):  
LUIS A. GONZÁLEZ-DÍAZ ◽  
VICTOR M. VILLALBA
Keyword(s):  
Short Range ◽  
Bound States ◽  
Gordon Equation ◽  
Negative Energy ◽  
General Belief ◽  
One Dimensional ◽  
Short Range Potential ◽  
Scalar Particles ◽  
Resonant Behavior ◽  
Klein Gordon

We analyze the behavior of the energy spectrum of the Klein–Gordon equation in the presence of a truncated hyperbolic tangent potential. From our analysis we obtain that, for some values of the potential there is embedding of the bound states into the negative energy continuum, showing that, in opposition to the general belief, relativistic scalar particles in one-dimensional short range potentials can exhibit resonant behavior and also the Schiff–Snyder effect.

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