Star Operation in Quantum Mechanics

2000/07/06 by Luca Mezincescu, Mezincescu, Luca · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0007046

misprints corrected, additional references

openalex publication_date 2000/07/06 · arxiv created 2000/07/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We outline the description of Quantum Mechanics with noncommuting coordinates within the framework of star operation. We discuss simple cases of integrability.

Cited by

• Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
• Studies on Boundary Conditions and Noncommutativity in String Theory
• Bianchi spacetimes in noncommutative phase space
• Magnetic fields in noncommutative quantum mechanics
• Quantum mechanics on noncommutative spacetime
• Dilaton cosmology, noncommutativity, and generalized uncertainty principle
• Representations of non-commutative quantum mechanics and symmetries
• Duality between coordinates and wave functions on noncommutative space

Related

• Wigner's Formulation of Noncommutative Quantum Mechanics
• Alternative Approach to Noncommutative Quantum Mechanics on a Curved Space
• Canonical quantization of a product within the Cahill-Glauber correspondence
• Quantum NOT Operation and Integrability in Two-Level Systems
• Star products and deformed oscillators