Galilean symmetry in a noncommutative gravitational quantum well

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.125002· OSTI ID:21408099

Saha, Anirban ^[1]

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1. Department of Physics and Astrophysics, West Bengal State University, Barasat, West Bengal (India)

A thorough analysis of Galilean symmetries for the gravitational well problem on a noncommutative plane is presented. A complete closure of the one-parameter centrally extended Galilean algebra is realized for the model. This implies that the field theoretic model constructed to describe noncommutative gravitational quantum well in [A. Saha, Eur. Phys. J. C 51, 199 (2007).] is indeed independent of the coordinate choice. Hence the energy spectrum predicted by the model can be associated with the experimental results to establish the upper bound on a time-space noncommutative parameter. Interestingly, noncommutativity is shown to increase the gravitational pull on the neutron trapped in the gravitational well.

• OSTI ID: 21408099
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
COMMUTATION RELATIONS
ELEMENTARY PARTICLES
ENERGY SPECTRA
FERMIONS
FIELD THEORIES
HADRONS
NANOSTRUCTURES
NEUTRONS
NUCLEONS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
QUANTUM WELLS
SIMULATION
SPECTRA
SYMMETRY
TRAPPING