Generalized η-Pseudo-Hermiticity generators; radially symmetric Hamiltonians
نویسنده
چکیده
A class of spherically symmetric non-Hermitian Hamiltonians and their η-pseudo-Hermiticity generators are presented. An operators-based procedure is introduced so that the results for the 1D Schrödinger Hamiltonian may very well be reproduced. A generalization beyond the nodeless states is proposed. Our illustrative examples include η-pseudo-Hermiticity generators for the non-Hermitian weakly perturbed 1D and radial oscillators, the non-Hermitian perturbed radial Coulomb, and the nonHermitian radial Morse models. . PACS numbers: 03.65.Ge, 03.65.Fd,03.65.Ca
منابع مشابه
Generalized η-weak-pseudo-Hermiticity generators per radially symmetric Hamiltonians
A class η-weak-pseudo-Hermiticity generators for spherically symmetric non-Hermitian Hamiltonians are presented. An operators-based procedure is introduced so that the results for the 1D Schrödinger Hamiltonian may very well be reproduced. A generalization beyond the nodeless states is proposed. Our illustrative examples include η-weak-pseudo-Hermiticity generators for the non-Hermitian weakly ...
متن کاملη-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians
A class η-weak-pseudo-Hermiticity generators for spherically symmetric non-Hermitian Hamiltonians are presented. An operators-based procedure is introduced so that the results for the 1D Schrödinger Hamiltonian may very well be reproduced. A generalization beyond the nodeless states is proposed. Our illustrative examples include η-weak-pseudo-Hermiticity generators for the non-Hermitian weakly ...
متن کاملη-Pseudo-Hermiticity generators: radially symmetric Hamiltonians
Hamiltonian models with radial symmetry are considered and a class of their η-pseudo-Hermiticity generators is described. Illustrative examples are given, amongest are η-pseudo-Hermiticity generators for an η-pseudoHermitian Morse and an η-pseudo-Hermitian weakly perturbed harmonic oscillator models. PACS numbers: 03.65.Ge, 03.65.Fd,03.65.Ca
متن کاملη-pseudo-Hermiticity quasi-generators per quasi-exact solvability
Exact solvability of some non-Hermitian η-pseudo-Hermitian Hamiltonians is explored as a byproduct of η-pseudo-Hermiticity generators. A class of Veff (x) = V (x)+iW (x) potentials is considered, where the imaginary part W (x) is used as an η-pseudo-Hermiticity ”quasi-generator” to obtain quasiexactly solvable η-pseudo-Hermitian Hamiltonian models. PACS numbers: 03.65.Ge, 03.65.Fd,03.65.Ca
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