English

A perturbative expansion of the evolution operator associated with time-dependent quantum Hamiltonians

Quantum Physics 2007-05-23 v1

Abstract

A novel expansion -- which generalizes Magnus expansion -- of the evolution operator associated with a (in general, time-dependent) perturbed Hamiltonian is introduced. It is shown that it has a wide range of possible solutions that can be fitted according to computational convenience. The time-independent and the adiabatic case are studied in detail.

Keywords

Cite

@article{arxiv.quant-ph/0404056,
  title  = {A perturbative expansion of the evolution operator associated with time-dependent quantum Hamiltonians},
  author = {P. Aniello},
  journal= {arXiv preprint arXiv:quant-ph/0404056},
  year   = {2007}
}

Comments

34 pages, no figures

R2 v1 2026-07-22T19:43:42.709Z