Two phases of the non-commutative quantum mechanics with the generalized uncertainty relations

DOI10.1007/s10773-015-2856-zzbMath1338.81242OpenAlexW2234758491MaRDI QIDQ293004

Won-Sang Chung

Publication date: 9 June 2016

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

Full work available at URL: https://doi.org/10.1007/s10773-015-2856-z

zbMATH Keywords

generalized uncertainty relationharmonic oscillator modelnoncommutative plane

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60)

Cites Work

• Unnamed Item
• Fractional angular momentum in non-commutative spaces
• String theory and noncommutative geometry
• The quantum structure of spacetime of the Planck scale and quantum fields
• Noncommutative differential geometry of matrix algebras
• The noncommutative harmonic oscillator in more than one dimension
• On Quantized Space-Time
• Quantized Space-Time
• Noncommutative field theory
• Gauge theory on a quantum phase space
• Quantum mechanics on the noncommutative plane and sphere
• Quantum mechanics on the noncommutative torus
• Two phases of the noncommutative quantum mechanics