An Alternative Formulation of Hall Effect and Quantum Phases in Noncommutative Space

Abstract

A recent method of constructing quantum mechanics in noncommutative coordinates, alternative to implying noncommutativity by means of star product is discussed. Within this approach we study Hall effect as well as quantum phases in noncommutative coordinates. The $\theta$--deformed phases which we obtain are velocity independent.

Published version, abstract shortened

References in corpus (4)

• The HMW effect in Noncommutative Quantum Mechanics
• The Noncommutative Anandan's Quantum Phase
• Dynamics of Dipoles and Quantum Phases in Noncommutative Coordinates
• Spin dynamics with non-abelian Berry gauge fields as a semiclassical constrained hamiltonian system