Non-commutative harmonic oscillator in magnetic field and continuous limit

DOI10.1140/epjc/s10052-009-0950-1zbMath1189.81111OpenAlexW2009882341MaRDI QIDQ982037

Jian Jing, Jian-Feng Chen

Publication date: 2 July 2010

Published in: The European Physical Journal C. Particles and Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1140/epjc/s10052-009-0950-1

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Noncommutative geometry in quantum theory (81R60)

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Cites Work

• Unnamed Item
• Unnamed Item
• A mapping-independent analysis for the spectra of the non-commutative two-dimensional harmonic oscillator
• On the spectra of noncommutative 2D harmonic oscillator
• Noncommutative planar particle dynamics with gauge interactions
• Non-commutative open string and D-brane
• Constrained quantization of open string in background \(B\) field and noncommutative D-brane
• String theory and noncommutative geometry
• Quantum mechanics on noncommutative Riemann surfaces
• THE LANDAU PROBLEM AND NONCOMMUTATIVE QUANTUM MECHANICS
• Exotic Galilean symmetry in the non-commutative plane and the Hall effect
• NONCOMMUTATIVE QUANTUM MECHANICS: THE TWO-DIMENSIONAL CENTRAL FIELD
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Hamiltonian reduction of unconstrained and constrained systems
• Foundations of Quantum Mechanics
• Noncommutative field theory
• Noncommutative perturbative dynamics
• Non-commutative solitons
• Dirac quantization of open strings and noncommutativity in branes.
• Quantum mechanics on the noncommutative plane and sphere
• Quantum mechanics on the noncommutative torus
• Spectrum of Schrödinger field in a noncommutative magnetic monopole