Un-equivalency theorem between deformed and undeformed Heisenberg-Weyl's algebras

DOI10.1016/J.PHYSLETB.2006.06.040zbMath1248.81088arXivhep-th/0612254OpenAlexW2059924435MaRDI QIDQ712784

Jian-Zu Zhang

Publication date: 18 October 2012

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

Full work available at URL: https://arxiv.org/abs/hep-th/0612254

zbMATH Keywords

deformed Heisenberg-Weyl algebraundeformed Heisenberg-Weyl algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative geometry in quantum theory (81R60)

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Generalized uncertainty relation in the non-commutative quantum mechanics ⋮ Minimal length uncertainty and generalized non-commutative geometry ⋮ ANALYSIS OF IMPOSSIBILITY OF TESTING SPATIAL NONCOMMUTATIVITY USING RYDBERG ATOMS IN THE VICINITY OF SADDLE-POINT IN CROSSED ELECTRIC AND MAGNETIC FIELDS ⋮ CONSISTENT DEFORMED BOSONIC ALGEBRA IN NONCOMMUTATIVE QUANTUM MECHANICS

Cites Work

• Coherent states of the deformed Heisenberg-Weyl algebra in non-commutative space
• Deformed two-mode quadrature operators in noncommutative space
• Representations of non-commutative quantum mechanics and symmetries
• Noncommutative field theory
• Quantum mechanics on the noncommutative plane and sphere
• Quantum theories on noncommutative spaces with nontrivial topology: Aharonov-Bohm and Casimir effects
• Aharonov-Bohm effect in noncommutative spaces

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