Journal of Physical Studies 9(4), 299–303 (2005)
DOI: https://doi.org/10.30970/jps.09.299

TIME-DEPENDENT SCHRÖDINGER EQUATION WITH ONE KNOWN SOLUTION

T. V. Fityo, V. M. Tkachuk
Ivan Franko National University of Lviv, Department for Theoretical Physics,
12 Drahomanov St., Lviv UA–79005, Ukraine
e-mail: fityo@ktf.franko.lviv.ua
e-mail: tkachuk@ktf.franko.lviv.ua

We present a method to construct a time-dependent Schrödinger equation with one known solution. Several explicit examples are presented. The quantum Kapitsa effect is discussed.

PACS number(s): 02.30.Zz, 03.65.Ge