On Galilean covariance in a nonrelativistic model involving a Chern{endash}Simons term

Journal Article · Thu Aug 01 04:00:00 EDT 1996 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1996.0090· OSTI ID:389221

Chakraborty, B; Majumdar, A S ^[1]

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1. S. N. Bose National Centre for Basic Sciences, JD Block, Sector-III, Salt Lake, Calcutta 700091 (India)

We consider a nonrelativistic model where a Schrodinger field has been coupled to an abelian Chern-Simons term. By performing Hamiltonian analysis of the model using the Faddeev{endash}Jackiw symplectic method, we first demonstrate the closure of the Galilean algebra at the classical level in a gauge independent manner. By suitably taking into account the effects of operator ordering, we then show once again in a gauge independent way that this closure is also preserved for the corresponding quantum theory. The gauge fixed analysis, on the contrary, reveals that galilean invariance is valid only for the classical case. This is explicitly demonstrated both for the radiation gauge, as well as for a nonconventional gauge where the phase of the scalar field is fixed. Subtleties related to the definition of the angular momentum operator, both at the classical and quantum levels, are illuminated. {copyright} 1996 Academic Press, Inc.

• OSTI ID: 389221
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 1 Vol. 250; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALGEBRA
ANGULAR MOMENTUM OPERATORS
GALILEI TRANSFORMATIONS
GAUGE INVARIANCE
HAMILTONIANS
QUANTIZATION
QUANTUM FIELD THEORY
THREE-DIMENSIONAL CALCULATIONS