The analytic structure of the renormalized energy of the quartic anharmonic oscillator described by the Hamiltonian H= p 2 +x 2 +;x 4 is discussed and the dispersion relation for the renormalized energy is found. It follows from the analytic structure that the renormalized strong coupling expansion
Functional renormalization group for quantized anharmonic oscillator
β Scribed by S. Nagy; K. Sailer
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 757 KB
- Volume
- 326
- Category
- Article
- ISSN
- 0003-4916
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π SIMILAR VOLUMES
We apply renormalized perturbation theory by the moment method to an anharmonic oscillator in two dimensions with a perturbation that couples unperturbed degenerate states. The method leads to simple recurrence relations for the perturbation corrections to the energy and moments of the eigenfunction
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
## Abstract The quantum (Δ§ =1) and semiclassical (β β 0) Wigner distribution functions were calculated for some anharmonic oscillators using a direct phaseβspace variational method.