May 2012
Mon Tue Wed Thu Fri Sat Sun
« Apr   Jun »
 123456
78910111213
14151617181920
21222324252627
28293031  

Day May 30, 2012

Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials

Bikashkali Midya

Using the method of point canonical transformation, we derive some exactly solvable rationally extended quantum Hamiltonians which are non-Hermitian in nature and whose bound state wave functions are associated with Laguerre and Jacobi-type \(X_1\) exceptional orthogonal polynomials. These Hamiltonians are shown, with the help of imaginary shift of co-ordinate: \(e^{-\alpha p} x e^{\alpha p} = x+ i \alpha\), to be both quasi and pseudo-Hermitian. It turns out that the corresponding energy spectra is entirely real.

http://arxiv.org/abs/1205.5860
Mathematical Physics (math-ph); Quantum Physics (quant-ph)