Galilean symmetry in a noncommutative gravitational quantum well

Journal Article · Tue Jun 15 00:00:00 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, Vol. 81, Issue 12; Other Information: DOI: 10.1103/PhysRevD.81.125002; (c) 2010 The American Physical Society; 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
COMMUTATION RELATIONS
ENERGY SPECTRA
NEUTRONS
QUANTUM GRAVITY
QUANTUM WELLS
SIMULATION
SYMMETRY
TRAPPING
BARYONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRONS
NANOSTRUCTURES
NUCLEONS
QUANTUM FIELD THEORY
SPECTRA