منابع مشابه
Biorthogonal Quantum Systems
Models of PT symmetric quantum mechanics provide examples of biorthogonal quantum systems. The latter incorporporate all the structure of PT symmetric models, and allow for generalizations, especially in situations where the PT construction of the dual space fails. The formalism is illustrated by a few exact results for models of the form H = (p+ ν)2 + ∑ k>0 μk exp (ikx). In some non-trivial ca...
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We discuss supersymmetric biorthogonal systems, with emphasis given to the periodic solutions that occur at spectral singularities of PT symmetric models. For these periodic solutions, the dual functions are associated polynomials that obey inhomogeneous equations. We construct in detail some explicit examples for the supersymmetric pairs of potentials V± (z) = −U (z) 2 ±z d dz U (z) where U (z...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2013
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/47/3/035305