scholarly journals Hydrogen-atom spectrum under a minimal-length hypothesis

2005 ◽  
Vol 72 (1) ◽  
Author(s):  
Sándor Benczik ◽  
Lay Nam Chang ◽  
Djordje Minic ◽  
Tatsu Takeuchi
Keyword(s):  
Hydrogen Atom ◽  
Minimal Length

scholarly journals Ground state of the hydrogen atom via Dirac equation in a minimal-length scenario

2013 ◽  
Vol 73 (7) ◽  
Author(s):  
T. L. Antonacci Oakes ◽  
R. O. Francisco ◽  
J. C. Fabris ◽  
J. A. Nogueira
Keyword(s):  
Hydrogen Atom ◽  
Dirac Equation ◽  
Ground State ◽  
Minimal Length

scholarly journals HYDROGEN ATOM AS AN EIGENVALUE PROBLEM IN 3-D SPACES OF CONSTANT CURVATURE AND MINIMAL LENGTH

1999 ◽  
Vol 14 (35) ◽  
pp. 2463-2469 ◽  
Author(s):  
L. M. NIETO ◽  
M. SANTANDER ◽  
H. C. ROSU
Keyword(s):  
Wave Function ◽  
Hydrogen Atom ◽  
Constant Curvature ◽  
Three Dimensional ◽  
Minimal Length ◽  
Positive Zero ◽  
Spaces Of Constant Curvature ◽  
Curvature Effects ◽  
Negative Constant ◽  
Space Curvature

An old result of Stevenson [Phys. Rev.59, 842 (1941)] concerning the Kepler–Coulomb quantum problem on the three-dimensional (3-D) hypersphere is considered from the perspective of the radial Schrödinger equations on 3-D spaces of any (either positive, zero or negative) constant curvature. Further to Stevenson, we show in detail how to get the hypergeometric wave function for the hydrogen atom case. Finally, we make a comparison between the "space curvature" effects and minimal length effects for the hydrogen spectrum.

scholarly journals Probing the natural broadening of hydrogen atom spectrum based on the minimal length uncertainty

2007 ◽  
Vol 650 (1) ◽  
pp. 33-35 ◽  
Author(s):  
Abbas Farmany ◽  
Shahryar Abbasi ◽  
Ali Naghipour
Keyword(s):  
Hydrogen Atom ◽  
Minimal Length
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