In the paper we derive two formulas representing solutions of Cauchy problem for two
Schrödinger equations: one-dimensional momentum space equation with polynomial …

The article focuses on the use of Feynman integrals through the utilization of infinite-
dimensional Schrödinger equations. The utilization of a Gaussian measure in a quadratic …

Abstract Cauchy problems for Schrödinger equations with matrix-valued potentials are
explicitly solved under following assumptions:.—equations are written in momentum form; …

We construct an explicit solution of the Cauchy initial value problem for the n-dimensional
Schrödinger equation with certain time-dependent Hamiltonian operator of a modified …

We reduce the initial value problem for the generalized Schroedinger equation with
piecewise-constant leading coefficient to the system of Volterra type integral equations and …

A construction of the fundamental solution for the Schrödinger equation Page 1 A
CONSTRUCTION OF THE FUNDAMENTAL SOLUTION FOR THE SCHRt~)DINGER …

We establish that the Laplas operator with perturbation by symmetrised linear hall of
displacement argument operators is the generator of unitary group in the Hilbert space of …

A functional integral representation for the weak solution of the Schrödinger equation with a
polynomially growing potential is proposed in terms of an analytically continued Wiener …

The Jost solutions to the Schrödinger equation with an additional complex potential Page 1
Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci. Mathematics, 42 (1), 3-7 (2022). The …

The time-dependent Schrödinger equation is solved for a linear potential using operational
methods; in particular, an extension of the Baker-Campbell-Hausdorff formula is exposed …