Published April 26, 2013 | Version v1
Journal article

Noncommutative of space-time and the Relativistic Hydrogen Atom

  • 1. Département des Sciences de la Matière, Faculté des Sciences, Université Hadj Lakhdar – Batna (Algeria)

Description

We study the Klein-Gordon equation in a non-commutative space-time as applied to the Hydrogen atom to extract the energy levels, by considering the second-order corrections in the non-commutativity parameter. By comparing to the 2S – 1S transition energies we obtain an upper bound on the non-commutativity parameter. Phenomenologically we show that non-commutativity is the source of lamb shift corrections and spin of the electron.

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/435/1/012020

Additional details

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
435
Journal Issue
1
Journal Page Range
[8 p.]
ISSN
1742-6596

Conference

Title
Contemporary mathematics, mathematical physics and their applications
Acronym
International Conference on Advancement in Science and Technology 2012 (iCAST)
Dates
7-10 Nov 2012
Place
Kuantan (Malaysia)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44118897
Subject category
S74: ATOMIC AND MOLECULAR PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ATOMS; COMMUTATION RELATIONS; CORRECTIONS; ELECTRONS; ENERGY LEVELS; ENERGY-LEVEL TRANSITIONS; HYDROGEN; KLEIN-GORDON EQUATION; LAMB SHIFT; RELATIVISTIC RANGE; SPACE-TIME; SPIN
Descriptors DEC
ANGULAR MOMENTUM; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; ELEMENTS; ENERGY RANGE; EQUATIONS; FERMIONS; FIELD EQUATIONS; LEPTONS; NONMETALS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; SPECTRAL SHIFT; WAVE EQUATIONS