منابع مشابه
Quasi-exactly solvable quartic: real QES locus
We describe the real quasi-exactly solvable locus of the PT-symmetric quartic using Nevanlinna parametrization. MSC: 81Q05, 34M60, 34A05
متن کاملQuasi-exactly solvable quartic: elementary integrals and asymptotics
We study elementary eigenfunctions y = peh of operators L(y) = y+Py, where p, h and P are polynomials in one variable. For the case when h is an odd cubic polynomial, we found an interesting identity which is used to describe the spectral locus. We also establish some asymptotic properties of the QES spectral locus. MSC: 81Q05, 34M60, 34A05.
متن کاملQuasi-exactly solvable quartic: real algebraic spectral locus
We describe the real quasi-exactly solvable spectral locus of the PT-symmetric quartic using the Nevanlinna parametrization. MSC: 81Q05, 34M60, 34A05.
متن کاملQuasi-exactly solvable quartic potentials with centrifugal and Coulombic terms
D−dimensional central and complex potentials of a Coulomb plus quartic-polynomial form are considered in a PT −symmetrized radial Schrödinger equation. Arbitrarily large finite multiplets of bound states are shown obtainable in an elementary form. Relations between their energies and couplings are determined by a finite-dimensional secular equation. The Bender’s and Boettcher’s one-dimensional ...
متن کاملQuasi - Exactly Solvable Potentials
We describe three di erent methods for generating quasi-exactly solvable potentials, for which a nite number of eigenstates are analytically known. The three methods are respectively based on (i) a polynomial ansatz for wave functions; (ii) point canonical transformations; (iii) supersymmetric quantum mechanics. The methods are rather general and give considerably richer results than those avai...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1998
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/31/14/001