Spherical-separablility of non-Hermitian Dirac Hamiltonians and pseudo-PT -symmetry
نویسنده
چکیده
A non-Hermitian PφTφ-symmetrized spherically-separable Dirac Hamiltonian is considered. It is observed that the descendant Hamiltonians Hr, Hθ, and Hφ play essential roles and offer some ”user-feriendly” options as to which one (or ones) of them is (or are) non-Hermitian. Considering a PφTφ-symmetrized Hφ, we have shown that the conventional relativistic energy eigenvalues are recoverable. We have also witnessed an unavoidable change in the azimuthal part of the general wavefunction. Moreover, setting a possible interaction V (θ) 6= 0 in the descendant Hamiltonian Hθ would manifest a change in the angular θ-dependent part of the general solution too. Whilst some PφTφ-symmetrized Hφ Hamiltonians are considered, a recipe to keep the regular magnetic quantum number m, as defined in the regular traditional Hermitian settings, is suggested. Hamiltonians possess properties similar to the PT -symmetric ones (here the non-Hermitian PφTφ-symmetric Hamiltonians) are nicknamed as pseudoPT -symmetric. PACS numbers: 03.65.Ge, 03.65.Ca
منابع مشابه
Spherical-separablility of non-Hermitian Hamiltonians and pseudo-PT -symmetry
Non-Hermitian but PφTφ-symmetrized spherically-separable Dirac and Schrödinger Hamiltonians are considered. It is observed that the descendant Hamiltonians Hr, Hθ, and Hφ play essential roles and offer some ”user-feriendly” options as to which one (or ones) of them is (or are) nonHermitian. Considering a PφTφ-symmetrized Hφ, we have shown that the conventional Dirac (relativistic) and Schröding...
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