symmetric models in more dimensions and solvable square-well versions of their angular Schr dinger equations
نویسندگان
چکیده
منابع مشابه
PT symmetric models in more dimensions and solvable square-well versions of their angular Schrödinger equations
From the partial differential Calogero’s (three-body) and Smorodinsky-Winternitz (superintegrable) Hamiltonians in two variables we separate the respective angular Schrödinger equations and study the possibilities of their “minimal” PT symmetric complexification. The simultaneous loss of the Hermiticity and solvability of the respective angular potentials V (φ) is compensated by their replaceme...
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Below a (comparatively large) measure of non-Hermiticity Z = Z (crit) 0 > 0 of a PT symmetrically complexified square well, bound states are constructed non-numerically. All their energies prove real and continuous in the (Hermitian) limit Z → 0. Beyond the threshold Z (crit) 0 (and, in general, beyond Z (crit) m at m = 0, 1, . . .) the lowest two real energies (i.e., E2m and E2m+1) are shown t...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2003
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/36/28/311