English

Bounds to unitary evolution

Quantum Physics 2009-11-13 v1

Abstract

Upper and lower bounds are established for the survival probability <ψ(0)ψ(t)>2|<\psi(0)|\psi(t)>|^{2} of a quantum state, in terms of the energy moments <ψ(0)Hnψ(0)><\psi(0)|H^{n}|\psi(0)>. Introducing a cut-off in the energy generally enables considerable improvement in these bounds and allows the method to be used where the exact energy moments do not exist.

Keywords

Cite

@article{arxiv.0705.1823,
  title  = {Bounds to unitary evolution},
  author = {Mark Andrews},
  journal= {arXiv preprint arXiv:0705.1823},
  year   = {2009}
}
R2 v1 2026-06-21T08:27:48.211Z