A Generalized Family of Discrete $\mathcal{PT}$ -symmetric Square Wells
نویسندگان
چکیده
منابع مشابه
Discrete PT −symmetric square-well oscillators
Exact solvability of the discretized N−point version of the PT −symmetric squarewell model at all N is pointed out. Its wave functions are found proportional to the classical Tshebyshev polynomials Uk cos θ) of a complex argument. A compact secular equation is derived giving the real spectrum of energies at all the non-Hermiticity strengths Z ∈ (−Zcrit(N), Zcrit(N)). In the limit Z → 0 the mode...
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ژورنال
عنوان ژورنال: International Journal of Theoretical Physics
سال: 2013
ISSN: 0020-7748,1572-9575
DOI: 10.1007/s10773-013-1525-3