5 citations · 10 across the 6 of their papers we have counts for
6 papers
Examples of potentials with convergent Schwinger - DeWitt expansion
V. A. Slobodenyuk
Convergence of the Schwinger --- DeWitt expansion for the evolution operator kernel for special class of potentials is studied. It is shown, that this expansion, which is in genera…
On Convergence of the Schwinger - DeWitt Expansion
V. A. Slobodenyuk
The Schwinger - DeWitt expansion for the evolution operator kernel of the Schrodinger equation is studied for convergence. It is established that divergence of this expansion which…
Convergence of the Schwinger - DeWitt Expansion for Some Potentials
V. A. Slobodenyuk
It is studied time dependence of the evolution operator kernel for the Schrödinger equation with a help of the Schwinger -- DeWitt expansion. For many of potentials this expansion…
On the Evolution Operator Kernel for the Coulomb and Coulomb--Like Potentials
V. A. Slobodenyuk
With a help of the Schwinger --- DeWitt expansion analytical properties of the evolution operator kernel for the Schrödinger equation in time variable are studied for the Coulo…
Analytical Properties of Solutions of the Schrodinger Equation and Quantization of Charge
V. A. Slobodenyuk
The Schwinger--DeWitt expansion for the evolution operator kernel is used to investigate analytical properties of the Schrödinger equation solution in time variable. It is shown, t…
Asymptotics of Expansion of the Evolution Operator Kernel in Powers of Time Interval
V. A. Slobodenyuk
The upper bound for asymptotic behavior of the coefficients of expansion of the evolution operator kernel in powers of the time interval $\Dt$ was obtained. It is found that for th…