Coherent states in noncommutative quantum mechanics

DOI10.1063/1.3105926zbMath1214.81109arXiv0901.3315OpenAlexW2083758092MaRDI QIDQ3650517

Joseph Ben Geloun, Frederik G. Scholtz

Publication date: 14 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3315

zbMATH Keywords

geometryquantum theoryHilbert spacesPoisson distributionvectorsmathematical operators

Mathematics Subject Classification ID

Coherent states (81R30) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (5)

Noncommutative phase-space effects in thermal diffusion of Gaussian states ⋮ THREE-DIMENSIONAL KLEIN–GORDON OSCILLATOR IN A BACKGROUND MAGNETIC FIELD IN NONCOMMUTATIVE PHASE SPACE ⋮ Classical limits of quantum mechanics on a non-commutative configuration space ⋮ Decoherence of quantum Brownian motion in noncommutative space ⋮ Heat flow and noncommutative quantum mechanics in phase-space

Cites Work

• Coherent states of the deformed Heisenberg-Weyl algebra in non-commutative space
• Coherent states and \(N\) dimensional coordinate noncommutativity
• The quantum structure of spacetime of the Planck scale and quantum fields
• Vector coherent states from Plancherel's theorem, Clifford algebras and matrix domains
• Coherent states for systems with discrete and continuous spectrum
• The geometry of coherent states
• Spectrum of the non-commutative spherical well
• Noncommutative field theory

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