Generalized diagonalization scheme for many-particle systems
| العنوان: | Generalized diagonalization scheme for many-particle systems |
|---|---|
| المؤلفون: | A. Hübsch, Klaus W. Becker, S. Sykora |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Field (physics), Strongly Correlated Electrons (cond-mat.str-el), Computer science, Numerical analysis, FOS: Physical sciences, 01 natural sciences, Unitary state, 010305 fluids & plasmas, Renormalization, symbols.namesake, Range (mathematics), Condensed Matter - Strongly Correlated Electrons, 0103 physical sciences, symbols, Perturbation theory (quantum mechanics), Statistical physics, 010306 general physics, Hamiltonian (quantum mechanics), Physical quantity |
| الوصف: | Despite the advances in the development of numerical methods analytical approaches still play the key role on the way towards a deeper understanding of many-particle systems. In this regards, diagonalization schemes for Hamiltonians represent an important direction in the field. Among these techniques the method, presented here, might be that approach with the widest range of possible applications: We demonstrate that both stepwise and continuous unitary transformations to diagonalize the many-particle Hamiltonian as well as perturbation theory and also non-perturbative treatments can be understood within the same theoretical framework. The new method is based on the introduction of generalized projection operators and allows to develop a renormalization scheme which is used to evaluate directly the physical quantities of a many-particle system. The applicability of this approach is shown for two important elementary many-particle problems. 19 pages, 6 figures |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c08367c682f98935dc008702ce283c8 http://arxiv.org/abs/2010.07005 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....6c08367c682f98935dc008702ce283c8 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |