Renormalization Group Transformation for the Wave Function

Details Renormalization Group Transformation for the Wave Function Renormalization Group Transformation for the Wave Function

1997-11-10

arxiv.org/abs/hep-th/9711061v2

Annals Phys. 268 (1998) 246-272

Physics

High Energy Physics

High Energy Physics - Theory

Final version to appear in Ann. Phys

Scientific paper

10.1006/aphy.1998.5827

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 by the help of a blocking transformation on the wave function. The systems with quadratic hamiltonian are studied in details. The representation of the renormalization group in the space of observables is identified.

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