QUANTUM SPACE-TIME AND ESTIMATIONS ON THE VALUE OF THE FUNDAMENTAL LENGTH

1986 ◽  
Vol 01 (03) ◽  
pp. 183-189 ◽  
Author(s):  
M. DINEYKHAN ◽  
Kh. NAMSRAI
Keyword(s):  
Hydrogen Atom ◽  
Hyperfine Structure ◽  
Lamb Shift ◽  
Space Time ◽  
Low Energy ◽  
Quantum Mechanical ◽  
Quantum Space ◽  
Fundamental Length ◽  
Space Time Structure ◽  
Energy Processes

Generalizing the idea of quantum space-time to the quantum mechanical case we re-analyze low energy processes and consider the nuclear radii, the Lamb shift and hyperfine structure of the hydrogen atom. Calculations of the contributions to these measurements due to quantum space-time structure allow us to obtain estimates on the value of the fundamental length L. Among them, hyperfine structure gives the most stringent bound, L≤10−19 cm.

scholarly journals Theory of quantum space-time

2005 ◽  
Vol 461 (2061) ◽  
pp. 2679-2699 ◽  
Author(s):  
Dorje C Brody ◽  
Lane P Hughston
Keyword(s):  
Minkowski Space ◽  
Natural Extension ◽  
Space Time ◽  
Quantum Mechanical ◽  
Quantum Space ◽  
Generic Point ◽  
Minkowski Space Time ◽  
Higher Dimensional ◽  
Symmetry Phase ◽  
Quantum Symmetries

A generalized equivalence principle is put forward according to which space-time symmetries and internal quantum symmetries are indistinguishable before symmetry breaking . Based on this principle, a higher-dimensional extension of Minkowski space is proposed and its properties examined. In this scheme the structure of space-time is intrinsically quantum mechanical. It is shown that the causal geometry of such a quantum space-time (QST) possesses a rich hierarchical structure. The natural extension of the Poincaré group to QST is investigated. In particular, we prove that the symmetry group of this space is generated in general by a system of irreducible Killing tensors. After the symmetries are broken, the points of the QST can be interpreted as space-time valued operators . The generic point of a QST in the broken symmetry phase then becomes a Minkowski space-time valued operator. Classical space-time emerges as a map from QST to Minkowski space. It is shown that the general such map satisfying appropriate causality-preserving conditions ensuring linearity and Poincaré invariance is necessarily a density matrix.

scholarly journals SECOND-ORDER CORRECTIONS TO THE NONCOMMUTATIVE KLEIN–GORDON EQUATION WITH A COULOMB POTENTIAL

2011 ◽  
Vol 26 (23) ◽  
pp. 4133-4144 ◽  
Author(s):  
SLIMANE ZAIM ◽  
LAMINE KHODJA ◽  
YAZID DELENDA
Keyword(s):  
Hydrogen Atom ◽  
Coulomb Potential ◽  
Lamb Shift ◽  
Gordon Equation ◽  
Energy Levels ◽  
Space Time ◽  
Second Order ◽  
Noncommutative Space ◽  
Klein Gordon ◽  
Klein Gordon Equation

We improve the previous study of the Klein–Gordon equation in a noncommutative space–time as applied to the hydrogen atom to extract the energy levels, by considering the second-order corrections in the noncommutativity parameter. Phenomenologically we show that noncommutativity is the source of Lamb shift corrections.

scholarly journals Novel conguration of Mg-H complexes in GaN

2001 ◽  
Vol 693 ◽  
Author(s):  
Sukit Limpijumnong ◽  
John E. Northrup ◽  
Chris G. Van de Walle
Keyword(s):  
Hydrogen Atom ◽  
Vibrational Spectroscopy ◽  
Elevated Temperatures ◽  
Polarized Light ◽  
Low Energy ◽  
Experimental Results ◽  
Quantum Mechanical ◽  
Ion Channeling

AbstractWe describe a novel conguration of the Mg-H complex in GaN, which is not the lowest-energy conguration at T =0 but is stabilized at elevated temperatures by the large entropy associated with a set of low-energy rotational excitations. We focus on a comparison with two types of experimental results: (1) vibrational spectroscopy using polarized light [B. Clerjaud et al., Phys. Rev. B 61, 8328 (2000)]; and (2) ion-channeling [W. Wampler et al., J. Appl. Phys. 90, 108 (2001)]. New results on the predicted quantum-mechanical delocalization of the hydrogen atom and on the ect of replacing hydrogen with deuterium are reported.

Measurement of the Lamb shift in the hydrogen atom

1982 ◽  
Vol 138 (10) ◽  
pp. 347 ◽  
Author(s):  
Yurii L. Sokolov ◽  
V.P. Yakovlev
Keyword(s):  
Hydrogen Atom ◽  
Lamb Shift

Сonanical quantum space-time and the arrow time

2020 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Space Time ◽  
Quantum Space

Сonanical quantum space-time and the arrow time

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