Geodesic
On the dynamics of quantum states generated by the Cauchy problem for the Schr\"odinger equation with degeneration on the half-line
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 6, pp. 157-174.

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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. 
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V. Zh. Sakbaev. On the dynamics of quantum states generated by the Cauchy problem for the Schr\"odinger equation with degeneration on the half-line. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 6, pp. 157-174. http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a9/

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