The linear interaction in noncommutative space; both relativistic and nonrelativistic cases

DOI10.1007/S10773-014-2219-1zbMath1315.81057OpenAlexW2058485934MaRDI QIDQ2348652

Yanyan Li

Publication date: 15 June 2015

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

Full work available at URL: https://doi.org/10.1007/s10773-014-2219-1

zbMATH Keywords

Schrödinger equationlinear potentialnoncommutative spaceDirac oscillator equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Noncommutative geometry in quantum theory (81R60)

Related Items (1)

\(q\)-deformed superstatistics of the anharmonic oscillator for unrelativistic and relativistic (K-G equation) cases in noncommutative plane

Cites Work

• The topological AC effect on non-commutative phase space
• Exact solutions of the two-dimensional Schrödinger equation with certain central potentials
• String theory and noncommutative geometry
• Quantum Hall effect in bilayer systems and the noncommutative plane: a toy model approach
• Effective-mass Klein–Gordon equation for non-PT/non-Hermitian generalized Morse potential
• KLEIN–GORDON EQUATION FOR THE COULOMB POTENTIAL IN NONCOMMUTATIVE SPACE
• Cornell and Coulomb interactions for the D-dimensional Klein-Gordon equation
• Significance of Electromagnetic Potentials in the Quantum Theory
• Hall effect in noncommutative coordinates
• REPRESENTATION OF NONCOMMUTATIVE PHASE SPACE
• Noncommutative field theory
• Space/time non-commutativity and causality
• The exotic Galilei group and the ``Peierls substitution.
• Perturbative noncommutative quantum gravity
• Correlations of spin states for icosahedral double group

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