Free motion of a Dirac particle with a minimum uncertainty in position

DOI10.1016/S0034-4877(13)60009-9zbMath1283.83008arXiv1208.0531MaRDI QIDQ2393172

Arman Shokrollahi

Publication date: 7 August 2013

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0531

zbMATH Keywords

quantum gravityDirac equationuncertainty relationsfree motionDirac particledeformed algebrarelativistic noncommutative algebra

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization of the gravitational field (83C45) Quantum measurement theory, state operations, state preparations (81P15) Methods of noncommutative geometry in general relativity (83C65) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (2)

Remnants, fermions' tunnelling and effects of quantum gravity ⋮ Generalized Dirac equation for a particle in a gravitational field

Cites Work

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• Some aspects of Planck scale quantum optics
• Comparison of approaches to quantum correction of black hole thermodynamics
• Some consequences of spacetime fuzziness
• Some aspects of gravitational quantum mechanics
• Natural extension of the generalized uncertainty principle
• A note on quantum field theories with a minimal length scale
• Quantized Space-Time
• On Infinities in Generalized Meson-Field Theory

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