PERTURBATION THEORY FOR SINGULAR POTENTIALS IN QUANTUM MECHANICS
نویسندگان
چکیده
منابع مشابه
Perturbation Theory for Singular Potentials in Quantum Mechanics
We study perturbation theory in certain quantum mechanics problems in which the perturbing potential diverges at some points, even though the energy eigenvalues are smooth functions of the coefficient of the potential. We discuss some of the unusual techniques which are required to obtain perturbative expansions of the energies in such cases. These include a point-splitting prescription for exp...
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In non-relativistic quantum mechanics, singular potentials in problems with spherical symmetry lead to a Schrödinger equation for stationary states with non-Fuchsian singularities both as r → 0 and as r → ∞. In the sixties, an analytic approach was developed for the investigation of scattering from such potentials, with emphasis on the polydromy of the wave function in the r-variable. The prese...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1999
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x99000919