Coherent states of the deformed Heisenberg-Weyl algebra in non-commutative space

DOI10.1016/j.physletb.2005.03.040zbMath1247.81204arXivhep-th/0505246OpenAlexW2043311798MaRDI QIDQ451669

Jian-Zu Zhang, Qi-Jun Yin

Publication date: 23 September 2012

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0505246

zbMATH Keywords

deformed Heisenberg-Weyl algebra

Mathematics Subject Classification ID

Coherent states (81R30) Noncommutative geometry in quantum theory (81R60)

Related Items (10)

Classical oscillator model on canonical, Lie-algebraic deformation and Heisenberg-Weyl algebra deformation nonrelativistic space ⋮ Deformed two-mode quadrature operators in noncommutative space ⋮ Linear dependence of deformed two-photon quadrature operators on spatial noncommutative parameter ⋮ ANALYSIS OF IMPOSSIBILITY OF TESTING SPATIAL NONCOMMUTATIVITY USING RYDBERG ATOMS IN THE VICINITY OF SADDLE-POINT IN CROSSED ELECTRIC AND MAGNETIC FIELDS ⋮ Un-equivalency theorem between deformed and undeformed Heisenberg-Weyl's algebras ⋮ CONSISTENT DEFORMED BOSONIC ALGEBRA IN NONCOMMUTATIVE QUANTUM MECHANICS ⋮ DEFORMED HARMONIC OSCILLATOR AND NONLINEAR COHERENT STATES: NONCOMMUTATIVE QUANTUM SPACE APPROACH ⋮ ENTANGLED STATE REPRESENTATIONS IN NONCOMMUTATIVE PHASE SPACE ⋮ Coherent states in noncommutative quantum mechanics ⋮ Two dimensional non-commutative space and Rydberg atom model

Cites Work

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• Non-commutative open string and D-brane
• Constrained quantization of open string in background \(B\) field and noncommutative D-brane
• Quantum mechanics on noncommutative Riemann surfaces
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• The noncommutative harmonic oscillator in more than one dimension
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• Noncommutative field theory
• Quantum mechanics on the noncommutative plane and sphere
• Quantum mechanics on the noncommutative torus
• Quantum theories on noncommutative spaces with nontrivial topology: Aharonov-Bohm and Casimir effects
• Two phases of the noncommutative quantum mechanics
• Aharonov-Bohm effect in noncommutative spaces
• Spectrum of Schrödinger field in a noncommutative magnetic monopole

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