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Two-dimensional Noncommutative Gravitational Quantum Well
- Publication Year :
- 2017
-
Abstract
- In this paper we consider two kinds of noncommutative space-time commutation relations in two-dimensional configuration space and feature the absolute value of the minimal length from the generalized uncertainty relations associated to the particular commutation relations. We study the problem of the two-dimensional gravitational quantum well in the new Hermitian variables and confront the experimental results for the first lowest energy state of the neutrons in the Earth's gravitational field to estimate the upper bounds on the noncommutativity parameters. The absolute value of the minimum length is smaller than a few nanometers.<br />12 pages
- Subjects :
- Statistics and Probability
Physics
High Energy Physics - Theory
Quantum Physics
010308 nuclear & particles physics
FOS: Physical sciences
General Physics and Astronomy
Statistical and Nonlinear Physics
Absolute value (algebra)
State (functional analysis)
01 natural sciences
Hermitian matrix
Noncommutative geometry
Gravitation
Theoretical physics
High Energy Physics - Theory (hep-th)
Gravitational field
Modeling and Simulation
0103 physical sciences
Configuration space
Quantum Physics (quant-ph)
010306 general physics
Mathematical Physics
Quantum well
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....8b23dcb57f846afde8efe7c4f33985aa