25 research outputs found
Non-Hermitian quantum mechanics in non-commutative space
We study non Hermitian quantum systems in noncommutative space as well as a
\cal{PT}-symmetric deformation of this space. Specifically, a
\mathcal{PT}-symmetric harmonic oscillator together with iC(x_1+x_2)
interaction is discussed in this space and solutions are obtained. It is shown
that in the \cal{PT} deformed noncommutative space the Hamiltonian may or may
not possess real eigenvalues depending on the choice of the noncommutative
parameters. However, it is shown that in standard noncommutative space, the
iC(x_1+x_2) interaction generates only real eigenvalues despite the fact that
the Hamiltonian is not \mathcal{PT}-symmetric. A complex interacting
anisotropic oscillator system has also been discussed.Comment: 5 pages, revised versio
Selection of best possible profile for core of built-up rolling mill roll
Translated from Russian (Izv. Vyssh. Uchebn. Zaved., Chern. Metall. 1986 (9) p. 151)SIGLEAvailable from British Library Document Supply Centre- DSC:5828.4(M--37150)T / BLDSC - British Library Document Supply CentreGBUnited Kingdo