English

Tight upper and lower bounds to the eigenvalues and critical parameters of a double well

Quantum Physics 2016-07-14 v1 Mathematical Physics math.MP

Abstract

By means of a suitable rational approximation to the logarithmic derivative of the wavefunction we obtain tight upper and lower bounds to the eigenvalues and critical parameters of the quartic double-well potential.

Keywords

Cite

@article{arxiv.1607.03692,
  title  = {Tight upper and lower bounds to the eigenvalues and critical parameters of a double well},
  author = {Francisco M. Fernández},
  journal= {arXiv preprint arXiv:1607.03692},
  year   = {2016}
}