Path Integral Formulation of Noncommutative Quantum Mechanics
arXiv:hep-th/0107078 · doi:10.1088/1126-6708/2001/09/007
Abstract
We propose a phase-space path integral formulation of noncommutative quantum mechanics, and prove its equivalence to the operatorial formulation. As an illustration, the partition function of a noncommutative two-dimensional harmonic oscillator is calculated.
Latex, 7 pages
References in corpus (1)
Cited by in corpus (39)
- Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory
- The non-commutative Landau problem
- Fractional Angular Momentum in Noncommutative Space
- A comparative review of four formulations of noncommutative quantum mechanics
- Noncommutative quantum mechanics and the Aharonov-Casher effect
- Quantum Theory of Noncommutative Fields
- Phases in noncommutative quantum mechanics on (pseudo)sphere
- Representations of noncommutative quantum mechanics and symmetries
- Noncommutativity due to spin
- Exotic galilean symmetry and non-commutative mechanics
- Aharonov-Bohm effect in a Class of Noncommutative Theories
- Quantum mechanics on noncommutative plane and sphere from constrained systems
- Aharonov-Casher effect for spin one particles in a noncommutative space
- Deformed Two-Photon Squeezed States in Noncommutative Space
- The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
- Coherent States of the Deformed Heisenberg-Weyl Algebra in Noncommutative Space
- Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin-Marinov action
- Noncommutative quantum mechanics and Bohm's ontological interpretation
- Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity
- On matrix models for anomalous dimensions of super Yang-Mills theory
- Chiral bosonization for non-commutative fields
- Noncommutativity in (2+1)-dimensions and the Lorentz group
- Un-equivalency Theorem between Deformed and undeformed Heisenberg-Weyl's Algebras
- Path Integrals in Noncommutative Quantum Mechanics
- Quantum speed limit for a relativistic electron in the noncommutative phase space
- Spin Non-commutativity and the Three-Dimensional Harmonic Oscillator
- Dynamical origin of the -noncommutativity in field theory from quantum mechanics
- A path integral leading to higher-order Lagrangians
- A coherent-state-based path integral for quantum mechanics on the Moyal plane
- Lagrangian versus Quantization
- Deformed classical-quantum mechanics transition
- Heisenberg Evolution in a Quantum Theory of Noncommutative Fields
- Quantum Noncanonical Field Theory: Symmetries and Interaction
- Quantum Theory of Tensionless Noncommutative p-Branes
- Quantum mechanics on non commutative spaces and squeezed states: a functional approach
- Dark Matter in a bi-metric universe
- Weighted Lorentz invariant measures as quantum field theory regulators
- The standard electroweak model in the noncommutative space-time
- Lagrangian Aspects of Quantum Dynamics on a Noncommutative Space