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arxiv: 1704.08198 · v2 · pith:X76DD7DXnew · submitted 2017-04-26 · 🌀 gr-qc · hep-th· quant-ph

Planck scale Corrections to the Harmonic Oscillator, Coherent and Squeezed States

Pasquale Bosso , Saurya Das , Robert B. Mann This is my paper
classification 🌀 gr-qc hep-thquant-ph
keywords statescoherentharmonicoperatorsoscillatorsqueezedprinciplequantum
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The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's Principle predicted by several theories of Quantum Gravity. It consists of a modified commutator between position and momentum. In this work we compute potentially observable effects that GUP implies for the harmonic oscillator, coherent and squeezed states in Quantum Mechanics. In particular, we rigorously analyze the GUP-perturbed harmonic oscillator Hamiltonian, defining new operators that act as ladder operators on the perturbed states. We use these operators to define the new coherent and squeezed states. We comment on potential applications.

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  1. From minimal-length quantum theory to modified gravity

    gr-qc 2025-11 unverdicted novelty 5.0

    A systematic mapping is derived from GUP parameters in minimal-length quantum theory to higher-order curvature coefficients in extended gravity, with an application yielding an upper bound on the minimal measurable le...