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Semiclassical and quantum motions on the non-commutative plane
(ELSEVIER SCIENCE BV, 2009)
We study the canonical and the coherent state quantizations of a particle moving in a magnetic field on the non-commutative plane. Using a theta-modified action, we perform the canonical quantization and analyze the gauge ...
Noncommutative Jordan superalgebras of degree n > 2
(SPRINGER, 2010)
We prove a coordinatization theorem for noncommutative Jordan superalgebras of degree n > 2, describing such algebras. It is shown that the symmetrized Jordan superalgebra for a simple finite-dimensional noncommutative ...
The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space
(2011-02)
We investigate the non-relativistic Schrödinger and Pauli-Dirac oscillators in noncommutative phase space using the five-dimensional Galilean covariant framework. The Schrödinger oscillator presented the correct energy ...
The Schrodinger and Pauli-Dirac Oscillators in Noncommutative Phase Space
(Springer/plenum Publishers, 2011-02-01)
We investigate the non-relativistic Schrodinger and Pauli-Dirac oscillators in noncommutative phase space using the five-dimensional Galilean covariant framework. The Schrodinger oscillator presented the correct energy ...
The Schrodinger and Pauli-Dirac Oscillators in Noncommutative Phase Space
(Springer/plenum Publishers, 2011-02-01)
We investigate the non-relativistic Schrodinger and Pauli-Dirac oscillators in noncommutative phase space using the five-dimensional Galilean covariant framework. The Schrodinger oscillator presented the correct energy ...