2025 : 9 : 29

Ali Naghipour

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Basic Science
Address:
Phone:

Research

Title
Erratum to: “Probing the natural broadening of hydrogen atom spectrum based on the minimal length uncertainty” [Phys. Lett. B 650 (2007) 33]
Type
JournalPaper
Keywords
hydrogen atom spectrom
Year
2007
Journal PHYSICS LETTERS B
DOI
Researchers abbas farmany ، shahriar abbasi ، Ali Naghipour

Abstract

The minimal length uncertainty is defined by, x  (1) ¯h p + α  p ¯h , where √ α is Planck length. Division both side of relation (1) to light velocity c we obtain a deformed time-energy uncertainty as, t  (2) ¯h E +t E ¯h , where √ t  is the Planck time. We use the natural units α  , c,¯h = 1. Therefore the uncertainty in the time is, t  (3) 1 E +t  E. Inverting Eq. (3) one obtains, t (4)  E2 −τE +1 = 0, where τ is substituted for t. Solving (4) for minimum energy gives, Emin ≈ (5) τ 2t   1 −  1− 4t  τ 2  . Comparing Eq. (5) with Eqs. (5), (10) of Ref. [1],