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Renormalization in quantum mechanics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 15 Dec 1993Embargo end date: 01 Jan 1993 English Publisher:American Physical Society (APS)Journal:Physical Review D, volume 48, pages 5,940-5,945 (issn: 0556-2821, Copyright policy )
Authors: Gupta, K. S.; Rajeev, S. G.;

doi: 10.1103/physrevd.48.5940 , 10.48550/arxiv.hep-th/9305052

pmid: 10016260

arXiv: hep-th/9305052

Renormalization in quantum mechanics

Abstract

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.

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

Related Organizations
Keywords

High Energy Physics - Theory, High Energy Physics - Phenomenology, High Energy Physics - Lattice, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), High Energy Physics - Lattice (hep-lat), FOS: Physical sciences

  • BIP!
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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 126
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
126
Top 10%
Top 10%
Average
Green