A NOTE ON THE SCHRÖDINGER OPERATOR WITH EXPONENTIAL POTENTIAL.


Məmmədova A.

Proceedings of the Institute of Mathematics and Mechanics, vol.47, no.1, pp.156-161, 2021 (Scopus)

Qısa məlumat

The Schrödinger operator L=-d²/dx²+ e2x on the positive half-line with the Dirichlet boundary condition at zero is studied. A description of the domain of definition of the operator L is given. Using the connection between the modified Bessel equation and the Schrödinger equation, the distribution of the zeros of the Macdonald function and its derivative is investigated.