Spectra of  PT-symmetric Hamiltonians on tobogganic contours

 

HYNEK BÍLA

Ústav jaderné fyziky AV ČR, 25068 Řež, Prague, Czech Republic

E-mail: hynek.bila@ujf.cas.cz

 

Abstract. A non-standard generalization of the Bender potentials

$x^2(i x^\ve)$ is suggested. The spectra are obtained numerically

and some of their particular properties are discussed.

 

Keywords. Quantum toboggans; PT symmetry; complex integration contours.

 

PACS Nos 02.60.Lj; 03.65.Ge