NONCOMMUTATIVITY IN A SIMPLE TOY MODEL

DOI10.1142/S0217751X07036592zbMath1124.81016arXivhep-th/0409285MaRDI QIDQ5296121

Rudra Prakash Malik

Publication date: 1 August 2007

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0409285

zbMATH Keywords

quantum groupsnoncommutativitycontinuous symmetriesBRST symmetry and its cohomologyfree reparametrization invariant nonrelativistic particle

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Noncommutative geometry in quantum theory (81R60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (4)

Revisiting quantum mechanics on non-commutative space-time ⋮ The basic cohomology of the twisted \(N=16\), \(D=2\) super-Maxwell theory ⋮ Particle dynamics and Lie-algebraic type of non-commutativity of space-time ⋮ Supervariable and BRST approaches to a reparameterization invariant nonrelativistic system

Cites Work

• Supersymmetric quantum mechanics on non-commutative plane
• Space-time noncommutativity from particle mechanics
• Anyon wave equations and the noncommutative plane
• Galilean-invariant \((2+1)\)-dimensional models with a Chern-Simons-like term and \(D=2\) noncommutative geometry
• Effective field theory for noncommutative spacetime: a toy model
• Supersymmetry in the non-commutative plane
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• The quantum structure of spacetime of the Planck scale and quantum fields
• BRST QUANTIZATION OF A q-DEFORMED PHYSICAL SYSTEM
• INTERACTING RELATIVISTIC PARTICLE: TIME–SPACE NONCOMMUTATIVITY AND SYMMETRIES
• DYNAMICS IN A NONCOMMUTATIVE PHASE SPACE
• Noncommutativity in the mechanics of a free massless relativistic particle
• Noncommutativity and reparametrization symmetry
• Foundations of Quantum Mechanics
• HAMILTONIAN AND LAGRANGIAN DYNAMICS IN A NONCOMMUTATIVE SPACE
• Noncommutative field theory
• Quantum field theory on noncommutative spaces
• The exotic Galilei group and the ``Peierls substitution.
• Quantum mechanics on the noncommutative plane and sphere

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