Results 1 
3 of
3
Potential approximations to δ′: an inverse Klauder phenomenon with normresolvent convergence
 COMMUN. MATH. PHYS
, 2001
"... We show that there is a family Schrödinger operators with scaled potentials which approximates the δ′interaction Hamiltonian in the normresolvent sense. This approximation, based on a formal scheme proposed by Cheon and Shigehara, has nontrivial convergence properties which are in several respects ..."
Grounding in communication
 In
, 1991
"... We give a general analysis of a class of pairs of positive selfadjoint operators A and B for which A + XB has a limit (in strong resolvent sense) as h10 which is an operator A, # A! Recently, Klauder [4] has discussed the following example: Let A be the operator(d2/A2) + x2 on L2(R, dx) and let ..."
Abstract

Cited by 1122 (20 self)
 Add to MetaCart
forms and strong resolvent convergence; see e.g. [3], [5]. Once one decides to analyze Klauder’s phenomenon in the language of quadratic forms, the phenomenon is quite easy to understand and control. In fact, the theory is implicit in Kato’s book [3, VIII.31.
An example of double confluent Heun equation: Schrödinger equation with supersingular plus Coulomb potential
, 2009
"... A recently proposed algorithm to obtain global solutions of the double confluent Heun equation is applied to solve the quantum mechanical problem of finding the energies and wave functions of a particle bound in a potential sum of a repulsive supersingular term, A r −4, plus an attractive Coulombian ..."
Abstract
 Add to MetaCart
being the adequate definition of the S matrix. On the other hand, concerned with bound states, a considerable interest on repulsive singular potentials added to an attractive regular one was arisen by the seminal paper of Klauder [7], where the today known as “Klauder phenomenon” was reported. As shown