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http://hdl.handle.net/11129/2826
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Title: | Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States |
Authors: | Mustafa, Omar Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Physics TR217733 |
Keywords: | pseudo-Hermitian quantum mechanics supersymmetry; supercoherent states. |
Issue Date: | 2010 |
Publisher: | SIGMA |
Citation: | O. Mustafa: MR2769919 by Cherbal, Omar; Drir, Mahrez; Maamache, Mustapha;
Trifonov, Dimitar A. Supersymmetric extension of non-Hermitian ${nrm su}(2)$ Hamiltonian
and supercoherent states. |
Abstract: | A new class of non-Hermitian Hamiltonians with real spectrum, which are written as a real linear combination of su(2) generators in the form H=ωJ3+αJ−+βJ+, α≠β, is analyzed. The metrics which allows the transition to the equivalent Hermitian Hamiltonian is established. A pseudo-Hermitian supersymmetic extension of such Hamiltonians is performed. They correspond to the pseudo-Hermitian supersymmetric systems of the boson-phermion oscillators. We extend the supercoherent states formalism to such supersymmetic systems via the pseudo-unitary supersymmetric displacement operator method. The constructed family of these supercoherent states consists of two dual subfamilies that form a bi-overcomplete and bi-normal system in the boson-phermion Fock space. The states of each subfamily are eigenvectors of the boson annihilation operator and of one of the two phermion lowering operators. |
Description: | Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publication. |
URI: | http://dx.doi.org/10.3842/SIGMA.2010.096 http://hdl.handle.net/11129/2826 |
Appears in Collections: | PHY – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Physics
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