$\mathcal {PT}$-symmetric non-commutative spaces with minimal volume uncertainty relations

DOI10.1088/1751-8113/45/38/385302zbMath1252.81078arXiv1205.2291OpenAlexW3101109644MaRDI QIDQ2920351

Sanjib Dey, Laure Gouba, Andreas Fring

Publication date: 16 October 2012

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

Full work available at URL: https://arxiv.org/abs/1205.2291

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) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (11)

Minimal and maximal lengths from position-dependent non-commutativity ⋮ Two-dimensional noncommutative gravitational quantum well ⋮ Optimal time evolution for pseudo-Hermitian Hamiltonians ⋮ Dynamic noncommutative BTZ black holes ⋮ On completeness of coherent states in noncommutative spaces with the generalised uncertainty principle ⋮ A Squeezed Review on Coherent States and Nonclassicality for Non-Hermitian Systems with Minimal Length ⋮ Heat flow and noncommutative quantum mechanics in phase-space ⋮ Generalized relativistic harmonic oscillator in minimal length quantum mechanics ⋮ Squeezed atom laser for Bose-Einstein condensate with minimal length ⋮ Time-dependent q-deformed bi-coherent states for generalized uncertainty relations ⋮ Quantum thermodynamics aspects with a thermal reservoir based on PT -symmetric Hamiltonians

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