GUP-induced shifts and broadening of the 129Xe Larmor frequency are estimated to be reachable with a projected 10^-15 sensitivity magnetometer if the GUP parameter α0 is near 10^8.
Generalized Uncertainty Principle and Angular Momentum
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abstract
Various models of quantum gravity suggest a modification of the Heisenberg's Uncertainty Principle, to the so-called Generalized Uncertainty Principle, between position and momentum. In this work we show how this modification influences the theory of angular momentum in Quantum Mechanics. In particular, we compute Planck scale corrections to angular momentum eigenvalues, the Hydrogen atom spectrum, the Stern-Gerlach experiment and the Clebsch-Gordan coefficients. We also examine effects of the Generalized Uncertainty Principle on multi-particle systems.
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Test of Quantum Gravity in Optical Magnetometers
GUP-induced shifts and broadening of the 129Xe Larmor frequency are estimated to be reachable with a projected 10^-15 sensitivity magnetometer if the GUP parameter α0 is near 10^8.