FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 6, PAGES 157-174

**On the dynamics of quantum states generated by the Cauchy problem for
the Schrödinger equation with degeneration on the half-line**

V. Zh. Sakbaev

Abstract

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The paper considers the Cauchy problem for the Schrödinger
equation with an operator degenerate on the half-line and the family
of regularized Cauchy problems with uniformly elliptic operators whose
solutions approximate the solution of the degenerate problem.
The author studies the strong and weak convergence of the regularized
problems and the convergence of values of quadratic forms of bounded
operators on solutions of the regularized problems when the
regularization parameter tends to zero.

Location: http://mech.math.msu.su/~fpm/eng/k06/k066/k06610h.htm

Last modified: February 26, 2007