Quasi-Hermitian supersymmetric extensions of a non-Hermitian oscillator Hamiltonian and of its generalizations
نویسنده
چکیده
A harmonic oscillator Hamiltonian augmented by a non-Hermitian PT -symmetric part and its su(1,1) generalizations, for which a family of positive-definite metric operators was recently constructed, are re-examined in a supersymmetric context. QuasiHermitian supersymmetric extensions of such Hamiltonians are proposed by enlarging su(1,1) to a su(1, 1/1) ∼ osp(2/2,R) superalgebra. This allows the construction of new non-Hermitian Hamiltonians related by similarity to Hermitian ones. Some examples of them are reviewed. Short title: Supersymmetric extensions of a non-Hermitian oscillator
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