Published August 2004
| Version v1
Journal article
Non-commutativity of space-time and the hydrogen atom spectrum
- 1. Helsinki Institute of Physics (Finland)
- 2. High Energy Physics Division, Department of Physics, University of Helsinki (Finland)
- 3. Department of Physics, Stanford University, CA (United States)
Description
There has been disagreement in the literature on whether the hydrogen atom spectrum receives any tree-level correction due to non-commutativity. Here we shall clarify this issue and show that indeed a general argument on the structure of the proton as a non-elementary particle leads to the appearance of such corrections. As a showcase, we evaluate the corrections in a simple non-relativistic quark model with a result in full agreement with the previous one we had obtained by considering the electron moving in the external electric field of proton. Thus the previously obtained bound on the non-commutativity parameter, θ<(104 GeV)-2, using the Lamb shift data, remains valid. (orig.)
Availability note (English)
Available from: http://dx.doi.org/10.1140/epjc/s2004-01886-1Additional details
Identifiers
Publishing Information
- Journal Title
- European Physical Journal. C
- Journal Volume
- 36
- Journal Issue
- 2
- Journal Page Range
- p. 251-252
- ISSN
- 1434-6044
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 35088285
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ATOMS; CENTRAL POTENTIAL; COMMUTATION RELATIONS; CORRECTIONS; COULOMB FIELD; EIGENSTATES; EIGENVALUES; ENERGY LEVELS; ENERGY SPECTRA; HAMILTONIANS; HYDROGEN; LAMB SHIFT; PARTICLE STRUCTURE; PROTONS; QUANTUM MECHANICS; QUARK MODEL; SCHROEDINGER EQUATION; SPACE-TIME
- Descriptors DEC
- BARYONS; COMPOSITE MODELS; DIFFERENTIAL EQUATIONS; ELECTRIC FIELDS; ELEMENTARY PARTICLES; ELEMENTS; EQUATIONS; FERMIONS; HADRONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MECHANICS; NONMETALS; NUCLEONS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; POTENTIALS; QUANTUM OPERATORS; SPECTRA; SPECTRAL SHIFT; WAVE EQUATIONS