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
✦ LIBER ✦
On perturbation theory for an asymmetric anharmonic oscillator
✍ Scribed by Yu. M. Poluéktov
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 311 KB
- Volume
- 52
- Category
- Article
- ISSN
- 1573-9228
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Renormalized Perturbation Theory for Qua
✍
J. Zamastil; J. Čı́žek; L. Skála
📂
Article
📅
1999
🏛
Elsevier Science
🌐
English
⚖ 224 KB
Convergent perturbation theory for aq–de
✍
R. Dick; A. Pollok-Narayanan; H. Steinacker; J. Wess
📂
Article
📅
1999
🏛
Springer-Verlag
🌐
English
⚖ 122 KB
Perturbation theory and hypervirial theo
✍
I.K. Dmitrieva; G.I. Plindov
📂
Article
📅
1980
🏛
Elsevier Science
🌐
English
⚖ 294 KB
On the divergence of perturbation theory
✍
Jacob Katriel
📂
Article
📅
1979
🏛
Elsevier Science
🌐
English
⚖ 181 KB
A perturbation theory for identifying qu
✍
A.S. Bruev
📂
Article
📅
1989
🏛
Elsevier Science
🌐
English
⚖ 267 KB
Renormalized perturbation theory by the
✍
Marcelo D. Radicioni; Carlos G. Diaz; Francisco M. Fernández
📂
Article
📅
1998
🏛
John Wiley and Sons
🌐
English
⚖ 183 KB
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