Generalized Swanson models and their solutions
نویسندگان
چکیده
منابع مشابه
Generalized Swanson Models and their solutions
We analyze a class of non-Hermitian quadratic Hamiltonians, which are of the form H = A†A + αA2 + βA† 2, where α , β are real constants, with α 6= β, and A† and A are generalized creation and annihilation operators. Thus these Hamiltonians may be classified as generalized Swanson models. It is shown that the eigenenergies are real for a certain range of values of the parameters. A similarity tr...
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A one-to-one correspondence is known to exist between the spectra of the discrete states of the non Hermitian Swanson-type Hamiltonian H = A†A+αA2+βA† 2, (α 6= β), and an equivalent Hermitian Schrödinger Hamiltonian h, the two Hamiltonians being related through a similarity transformation. In this work we consider the continuum states of h, and examine the nature of the corresponding states of ...
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New non Hermitian Hamiltonians are generated, as isospectral partners of the generalized Swanson model, viz., H− = A†A + αA2 + βA† 2, where α , β are real constants, with α 6= β, and A† and A are generalized creation and annihilation operators. It is shown that the initial Hamiltonian H−, and its partner H+, are related by pseudo supersymmetry, and they share all the eigen energies except for t...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2007
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/40/34/015