Path-integral action of a particle in the noncommutative plane

Simple item page
dc.contributor.authorGangopadhyay S.
dc.contributor.authorScholtz F.G.
dc.date.accessioned2011-05-15T16:05:18Z
dc.date.available2011-05-15T16:05:18Z
dc.date.issued2009
dc.description.abstractNoncommutative quantum mechanics can be viewed as a quantum system represented in the space of Hilbert-Schmidt operators acting on noncommutative configuration space. Taking this as a departure point, we formulate a coherent state approach to the path-integral representation of the transition amplitude. From this we derive an action for a particle moving in the noncommutative plane and in the presence of an arbitrary potential. We find that this action is nonlocal in time. However, this nonlocality can be removed by introducing an auxilary field, which leads to a second class constrained system that yields the noncommutative Heisenberg algebra upon quantization. Using this action, the propagator of the free particle and harmonic oscillator are computed explicitly. © 2009 The American Physical Society.
dc.description.versionArticle
dc.identifier.citationPhysical Review Letters
dc.identifier.citation102
dc.identifier.citation24
dc.identifier.issn319007
dc.identifier.other10.1103/PhysRevLett.102.241602
dc.identifier.urihttp://hdl.handle.net/10019.1/13067
dc.subjectArbitrary potentials
dc.subjectCoherent state
dc.subjectConfiguration space
dc.subjectConstrained systems
dc.subjectFree particles
dc.subjectHarmonic oscillators
dc.subjectHeisenberg
dc.subjectHilbert-Schmidt operators
dc.subjectNon-commutative
dc.subjectNon-commutative quantum mechanics
dc.subjectNonlocal
dc.subjectNonlocality
dc.subjectPath-integral
dc.subjectQuantum system
dc.subjectTransition amplitudes
dc.subjectMolecular vibrations
dc.subjectQuantum electronics
dc.subjectQuantum optics
dc.subjectOscillators (electronic)
dc.titlePath-integral action of a particle in the noncommutative plane
dc.typeArticle
Files
Collections
Stellenbosch University - Scopus Publications