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Renormalization Group Transformation for the Wave Function

✍ Scribed by Hanae El Hattab; Janos Polonyi

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 354 KB
Volume: 268
Category: Article
ISSN: 0003-4916
DOI: 10.1006/aphy.1998.5827

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✦ Synopsis

The problem considered here is the determination of the hamiltonian of a first quantized nonrelativistic particle by the help of some measurements of the location with a finite resolution. The resulting hamiltonian depends on the resolution of the measuring device. This dependence is reproduced with the help of a blocking transformation on the wave function. The systems with quadratic hamiltonian are studied in detail. The representation of the renormalization group in the space of observables is identified.

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