Some quantum mechanical solutions in nonrelativistic anti-Snyder framework

DOI10.1142/S0217751X17501706zbMath1375.81091OpenAlexW2763250379MaRDI QIDQ4597321

Won-Sang Chung, Homa Shababi

Publication date: 12 December 2017

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x17501706

zbMATH Keywords

quantum mechanicsmodified commutation relationsnonrelativistic anti-Snyder algebra

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Galactic and stellar structure (85A15)

Cites Work

• Symmetries of Snyder-de Sitter space and relativistic particle dynamics
• On the quantum mechanical solutions with minimal length uncertainty
• Nonrelativistic anti-Snyder model and some applications
• Volume and quantizations
• Background independent quantum gravity: a status report
• Quantized Space-Time
• The Electromagnetic Field in Quantized Space-Time
• Testable scenario for relativity with minimum length
• Deformed boost transformations that saturate at the Planck scale

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