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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
Nonconimutative quantum mechanics
Physical Review D, Volume 64, No. 6, Article 067901, Year 2001
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Description
A general noncommutative quantum mechanical system in a central potential V= V(r) in two dimensions is considered. The spectrum is bounded from below and, for large values of the anticommutative parameter θ, we find an explicit expression for the eigenvalues. In fact, any quantum mechanical system with these characteristics is equivalent to a commutative one in such a way that the interaction V(r) is replaced by V = V(ĤHO,L̂z), where ĤHo is the Hamiltonian of the two-dimensional harmonic oscillator and L̂z is the z component of the angular momentum. For other finite values of θ the model can be solved by using perturbation theory. © 2001 The American Physical Society.
Authors & Co-Authors
Gamboa, Jorge
Chile, Santiago
Universidad de Santiago de Chile
Loewe, M.
Chile, Santiago
Pontificia Universidad Católica de Chile
Rojas, Juan Cristóbal
Chile, Santiago
Universidad de Los Andes, Chile
Statistics
Citations: 390
Authors: 3
Affiliations: 3
Identifiers
Doi:
10.1103/PhysRevD.64.067901
ISSN:
05562821