Biorthogonal Quantum Systems
Curtright, Thomas ; Mezincescu, Luca
arXiv, 0507015 / Harvested from arXiv
Text on arXiv
Models of PT symmetric quantum mechanics provide examples of biorthogonal quantum systems. The latter incorporporate all the structure of PT symmetric models, and allow for generalizations, especially in situations where the PT construction of the dual space fails. The formalism is illustrated by a few exact results for models of the form H=(p+\nu)^2+\sum_{k>0}\mu_{k}exp(ikx). In some non-trivial cases, equivalent hermitian theories are obtained and shown to be very simple: They are just free (chiral) particles. Field theory extensions are briefly considered.
Publié le : 2005-07-04
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{0507015,
     author = {Curtright, Thomas and Mezincescu, Luca},
     title = {Biorthogonal Quantum Systems},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0507015}
}

Curtright, Thomas; Mezincescu, Luca. Biorthogonal Quantum Systems. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507015/