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Klein-Gordon oscillators in noncommutative phase space
- Source :
- Chinese Physics C. 32:803-806
- Publication Year :
- 2008
- Publisher :
- IOP Publishing, 2008.
-
Abstract
- We study the Klein-Gordon oscillators in non-commutative (NC) phase space. We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field. By solving the Klein-Gordon equation in NC phase space, we obtain the energy levels of the Klein-Gordon oscillators, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.
- Subjects :
- Physics
Nuclear and High Energy Physics
Astronomy and Astrophysics
Space (mathematics)
Noncommutative geometry
Magnetic field
symbols.namesake
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Phase space
Quantum mechanics
symbols
Nonlinear Sciences::Pattern Formation and Solitons
Instrumentation
Commutative property
Klein–Gordon equation
Energy (signal processing)
Mathematical physics
Subjects
Details
- ISSN :
- 16741137
- Volume :
- 32
- Database :
- OpenAIRE
- Journal :
- Chinese Physics C
- Accession number :
- edsair.doi...........d0be49572622380dedf74f1720985c77
- Full Text :
- https://doi.org/10.1088/1674-1137/32/10/007