Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States
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| Creator |
Cherbal, O.
Drir, M. Maamache, M. Trifonov, D.A. |
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| Description |
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.
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| Date |
2019-02-09T19:59:54Z
2019-02-09T19:59:54Z 2010 |
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| Type |
Article
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| Identifier |
Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States / O. Cherbal, M. Drir, M. Maamache, D.A. Trifonov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 33 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 81Q12; 81Q60; 81R30 DOI:10.3842/SIGMA.2010.096 http://dspace.nbuv.gov.ua/handle/123456789/146526 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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