Two-Parameters Pseudo-Bosons
Abstract
We construct a two-parameters example of 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 mathcal{L}2(mathbb{R}) can be constructed, which are not Riesz bases, in general.
- Publication:
-
International Journal of Theoretical Physics
- Pub Date:
- April 2011
- DOI:
- 10.1007/s10773-010-0525-9
- arXiv:
- arXiv:1010.0204
- Bibcode:
- 2011IJTP...50.1060B
- Keywords:
-
- Pseudo-bosons;
- Riesz basis;
- Mathematical Physics
- E-Print:
- In press in International Journal of Theoretical Physics