Generalized Uncertainty Principle and angular momentum

Journal Article · Tue Aug 15 04:00:00 EDT 2017 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2017.06.003· OSTI ID:22701519

Bosso, Pasquale; Das, Saurya

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. - Highlights: • Corrections to the angular momentum spectra due to Generalized Uncertainty Principle. • GUP corrections to the hydrogen atom spectrum. • Experimental signatures of GUP, minimum length and Planck scale effects.

• OSTI ID: 22701519
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 383; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
CLEBSCH-GORDAN COEFFICIENTS
CORRECTIONS
QUANTUM GRAVITY
QUANTUM MECHANICS
STERN-GERLACH EXPERIMENT
UNCERTAINTY PRINCIPLE