[HTML][HTML] Noncommutative uncertainty principles

C Jiang, Z Liu, J Wu - Journal of Functional Analysis, 2016 - Elsevier
… –Beckner uncertainty principle, the Donoho–Stark uncertainty principle. We characterize
the minimizers of the uncertainty principles and then we prove Hardy's uncertainty principle by …

The non-commutative Robertson–Schrödinger uncertainty principle

AN Hatzinikitas - Quantum Studies: Mathematics and Foundations, 2023 - Springer
… in the framework of non-commutative quantum mechanics for an … of the Robertson–Schrödinger
uncertainty principle the linear … Inequalities between the capacities for non-commutative

Noncommutative Schwarzschild geometry and generalized uncertainty principle

T Kanazawa, G Lambiase, G Vilasi… - The European Physical …, 2019 - Springer
… of the Schwarzschild geometry induced noncommutative geometry, which in turn affect the
Hawking temperature, to the deformation of the Heisenberg uncertainty principle, that is the …

Noncommutative spacetime, stringy spacetime uncertainty principle, and density fluctuations

R Brandenberger, PM Ho - Physical Review D, 2002 - APS
… We propose a variation of spacetime noncommutative field … Spacetime noncommutativity
leads to a coupling between … time at which the spacetime uncertainty relation is saturated. This …

Dilaton cosmology, noncommutativity, and generalized uncertainty principle

B Vakili - Physical Review D—Particles, Fields, Gravitation, and …, 2008 - APS
… The resulting noncommutative classical and quantum cosmology of such models have been
… using noncommutative ideas in [28]. In this paper I deal with noncommutativity and GUP in a …

Phase-space noncommutative formulation of Ozawa's uncertainty principle

C Bastos, AE Bernardini, O Bertolami, N Costa Dias… - Physical Review D, 2014 - APS
… III we address the noncommutative deformation of the BAE interaction. In Sec. IV similar
calculations are performed for another type of measurement interaction— the noiseless …

Path-integral action of a particle with the generalized uncertainty principle and correspondence with noncommutativity

S Gangopadhyay, S Bhattacharyya - Physical Review D, 2019 - APS
uncertainty principle to the generalized uncertainty principle. This in … on the generalized
uncertainty principle parameter. We … in the generalized uncertainty principle framework with the …

A review of the generalized uncertainty principle

AN Tawfik, AM Diab - Reports on Progress in Physics, 2015 - iopscience.iop.org
… The existence of a minimal length determines the noncommutativity and this in turn effects
the noncommutativity by changing the nature of the coordinates, equation (17), [58, 59]. The …

Phase-space noncommutative extension of the Robertson-Schrödinger formulation of Ozawa's uncertainty principle

C Bastos, AE Bernardini, O Bertolami, NC Dias… - Physical Review D, 2015 - APS
… In the next section we review Ozawa’s uncertainty principle and our matrix version of it, in …
III, we show how our uncertainty principle accommodates any type of noncommutative

Probing uncertainty relations in non-commutative space

P Chattopadhyay, A Mitra, G Paul - International Journal of Theoretical …, 2019 - Springer
… However, we would like to clarify two closely associated terms, namely: uncertainty principle(UP)
and the uncertainty relation (UR). The UP as stated in [10,11,12,13] and also as stated …