Minimal length via GUP makes the usual coherent state characterizations inequivalent for the harmonic oscillator, deforming phase-space trajectories and inducing intrinsic squeezing absent in standard quantum mechanics.
Extended uncertainty principle and the geometry of (anti)-de Sitter space
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
It has been proposed that on (anti)-de Sitter background, the Heisenberg uncertainty principle should be modified by the introduction of a term proportional to the cosmological constant. We show that this modification of the uncertainty principle can be derived straightforwardly from the geometric properties of (anti)-de Sitter spacetime. We also discuss the connection between the so-called extended generalized uncertainty principle and triply special relativity.
fields
quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Coherent states in minimal-length Quantum Mechanics: inequivalent characterizations and emergent squeezing
Minimal length via GUP makes the usual coherent state characterizations inequivalent for the harmonic oscillator, deforming phase-space trajectories and inducing intrinsic squeezing absent in standard quantum mechanics.