English

Two-parameters pseudo-bosons

Mathematical Physics 2015-05-20 v1 math.MP

Abstract

We construct a two-parameters example of {\em pseudo-bosons}, and we show that they are not regular, in the sense previously introduced by the author. In particular, we show that two biorthogonal bases of \Lc2(R)\Lc^2(\Bbb R) can be constructed, which are not Riesz bases, in general.

Cite

@article{arxiv.1010.0204,
  title  = {Two-parameters pseudo-bosons},
  author = {Fabio Bagarello},
  journal= {arXiv preprint arXiv:1010.0204},
  year   = {2015}
}

Comments

In press in International Journal of Theoretical Physics

R2 v1 2026-06-21T16:22:31.141Z