Renormalization in Quantum Mechanics

Details Renormalization in Quantum Mechanics Renormalization in Quantum Mechanics

1993-05-12

arxiv.org/abs/hep-th/9305052v2

Phys.Rev. D48 (1993) 5940-5945

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, UR-1310, ER-40685-760. (Additional references included.)

Scientific paper

10.1103/PhysRevD.48.5940

We implement the concept of Wilson renormalization in the context of simple quantum mechanical systems. The attractive inverse square potential leads to a $\b$ function with a nontrivial ultraviolet stable fixed point and the Hulthen potential exhibits the crossover phenomenon. We also discuss the implementation of the Wilson scheme in the broader context of one dimensional potential problems. The possibility of an analogue of Zamolodchikov's $C$ function in these systems is also discussed.

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