On uncertainty relations in noncommutative quantum mechanics

DOI10.1016/S0370-2693(02)02731-4zbMath0999.81033arXivhep-th/0208162MaRDI QIDQ1847729

Katarzyna Bolonek, Piotr Kosiński

Publication date: 23 October 2002

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0208162

zbMATH Keywords

angular momentum eigenstatesnoncommutative plane

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60)

Related Items

Uncertainty relations for a non-canonical phase-space noncommutative algebra ⋮ 𝒩 = 2 supersymmetric Pais–Uhlenbeck oscillator ⋮ On the quantization of length in noncommutative spaces ⋮ Coherent states of the deformed Heisenberg-Weyl algebra in non-commutative space ⋮ Composite system in noncommutative space and the equivalence principle ⋮ Exact master equation for a noncommutative Brownian particle ⋮ A deformation quantization theory for noncommutative quantum mechanics ⋮ COMMUTATOR ANOMALY IN NONCOMMUTATIVE QUANTUM MECHANICS ⋮ Wigner functions on non-standard symplectic vector spaces

Cites Work

• Galilean-invariant \((2+1)\)-dimensional models with a Chern-Simons-like term and \(D=2\) noncommutative geometry
• THE LANDAU PROBLEM AND NONCOMMUTATIVE QUANTUM MECHANICS
• NEGATIVE PROBABILITY AND UNCERTAINTY RELATIONS
• Holomorphic quantization on the torus and finite quantum mechanics
• A NOVEL APPROACH TO NONCOMMUTATIVITY IN PLANAR QUANTUM MECHANICS
• The exotic Galilei group and the ``Peierls substitution.
• Quantum mechanics on a noncommutative brane in M(atrix) theory
• Quantum mechanics on the noncommutative plane and sphere
• Quantum mechanics on the noncommutative torus
• Quantum mechanics on noncommutative plane and sphere from constrained systems
• Spectrum of Schrödinger field in a noncommutative magnetic monopole