PT symmetric pseudo-perturbation recipe
نویسندگان
چکیده
The pseudo-perturbative shifted l expansion technique PSLET is shown applicable in the non-Hermitian PT symmetric context. The construction of bound states for several PT symmetric potentials is presented, with special attention paid to V (r) = ir3 − α √ ir oscillators.
منابع مشابه
A ug 2 00 2 PT − symmetric pseudo - perturbation recipe ; an imaginary cubic oscillator with spikes
The pseudo-perturbative shifted l expansion technique PSLET is shown applicable in the non-Hermitian PT symmetric context. The construction of bound states for several PT symmetric potentials is presented, with special attention paid to V (r) = ir3 − α √ ir oscillators.
متن کاملPseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework
We formulate a systematic algorithm for constructing a whole class of PT symmetric Hamiltonians which, to lowest order of perturbation theory, have a Hermitian analogue containing a position-dependent mass. The method is applied to the PT -symmetric cubic anharmonic oscillator. A new example is provided by a PT -symmetric extension of the one-parameter trigonometric Pöschl-Teller potential.
متن کاملPT −symmetric regularizations in supersymmetric quantum mechanics
Within the supersymmetric quantum mechanics the necessary regularization of the poles of the superpotentials on the real line of coordinates x may be most easily mediated by a small constant shift of this axis into complex plane. Detailed attention is paid here to the resulting recipe which works, in effect, with non-Hermitian (a. k. a. PT −symmetric or pseudo-Hermitian) Hamiltonians. Besides a...
متن کاملNumerical Analysis of Stability for Temporal Bright Solitons in a PT-Symmetric NLDC
PT-Symmetry is one of the interesting topics in quantum mechanics and optics. One of the demonstration of PT-Symmetric effects in optics is appeared in the nonlinear directional coupler (NLDC). In the paper we numerically investigate the stability of temporal bright solitons propagate in a PT-Symmetric NLDC by considering gain in bar and loss in cross. By using the analytical solutions of pertu...
متن کاملPhysical Aspects of Pseudo-Hermitian and PT -Symmetric Quantum Mechanics
For a non-Hermitian Hamiltonian H possessing a real spectrum, we introduce a canonical orthonormal basis in which a previously introduced unitary mapping of H to a Hermitian Hamiltonian h takes a simple form. We use this basis to construct the observables Oα of the quantum mechanics based on H. In particular, we introduce pseudo-Hermitian position and momentum operators and a pseudo-Hermitian q...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002