Noncommutative Quantum Mechanics and rotating frames

Abstract

We study the effect of noncommutativity of space on the physics of a quantum interferometer located in a rotating disk in a gauge field background. To this end, we develop a path-integral approach which allows defining an effective action from which relevant physical quantities can be computed as in the usual commutative case. For the specific case of a constant magnetic field, we are able to compute, exactly, the noncommutative Lagrangian and the associated shift on the interference pattern for any value of $\theta$.

17 pages, presentation improved, references added. To appear in Physical Review D

References in corpus (6)

• Noncommutative Field Theory and Lorentz Violation
• Quantum Hall states as matrix Chern-Simons theory
• Testing Non-commutative QED, Constructing Non-commutative MHD
• Quantum Theories on Noncommutative Spaces with Nontrivial Topology: Aharonov-Bohm and Casimir Effects
• Quantum Hall Physics = Noncommutative Field Theory
• D-brane Dynamics and the Quantum Hall Effect

Cited by in corpus (28)

• Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory
• On Quantum Mechanics on Noncommutative Quantum Phase Space
• Fractional Angular Momentum in Noncommutative Space
• Hall Effect in Noncommutative Coordinates
• Testing spatial noncommutativiy via the Aharonov-Bohm effect
• A comparative review of four formulations of noncommutative quantum mechanics
• On the Landau system in noncommutative phase-space
• On Noncommutative Classical Mechanics
• Deformed Two-Photon Squeezed States in Noncommutative Space
• Coherent States of the Deformed Heisenberg-Weyl Algebra in Noncommutative Space
• Supersymmetric Quantum Mechanics on Non-Commutative Plane
• Noncommutative quantum mechanics and Bohm's ontological interpretation
• U(1) gauge invariant noncommutative Schrödinger theory and gravity
• Spin Hall Effect in Noncommutative Coordinates
• Worldline approach to noncommutative field theory
• Free-fall in a uniform gravitational field in non-commutative quantum mechanics
• Path Integrals in Noncommutative Quantum Mechanics
• Lowest Landau level theory of the bosonic Jain states
• Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field
• On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space
• Pauli equation on noncommutative plane and the Seiberg-Witten map
• Noncommutative quantum mechanics of simple matter systems interacting with circularly polarized gravitational waves
• Deformed Two-Mode Quadrature Operators in Noncommutative Space
• Path integral action of a particle in a magnetic field in the noncommutative plane and the Aharonov-Bohm effect
• Path integral action and Chern-Simons quantum mechanics in noncommutative plane
• Path-integral action of a particle in the noncommutative phase-space
• The 1/N Expansion in Noncommutative Quantum Mechanics
• Lagrangian Aspects of Quantum Dynamics on a Noncommutative Space