Families of isospectral matrix Hamiltonians by deformation of the Clifford algebra on a phase space
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, cilt.43, sa.2, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 2
- Basım Tarihi: 2010
- Doi Numarası: 10.1088/1751-8113/43/2/025303
- Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Orta Doğu Teknik Üniversitesi Adresli: Hayır
Özet
By using a recently developed method, we report five different families of isospectral 2x2 matrix Hamiltonians defined on a four-dimensional (4D) phase space. The employed method is based on a realization of the supersymmetry idea on the phase space whose complexified Clifford algebra structure is deformed with the Moyal star-product. Each reported family comprises many physically relevant special models. 2D Pauli Hamiltonians, systems involving spin-orbit interactions such as Aharonov-Casher-type systems, a supermembrane toy model and models describing motion in noncentral electromagnetic fields as well as Rashba- and Dresselhaus-type systems from semiconductor physics are obtained, together with their super-partners, as special cases. A large family of isospectral systems characterized by the whole set of analytic functions is also presented.