30 citations · 73 across the 13 of their papers we have counts for
13 papers
Phase-Integral Formulation of Dynamically Assisted Schwinger Pair Production
Chul Min Kim, Alexander Fedotov, Sang Pyo Kim
We present a phase-integral formulation of dynamically assisted Schwinger pair production of scalar charges to find the pair production density under a strong low-frequency field a…
Difference equations in the complex plane: quasiclassical asymptotics and Berry phase
Alexander Fedotov, Ekaterina Shchetka
We study solutions to the difference equation where is a complex variable, is a parameter, and is a given analyti…
WKB asymptotics of meromorphic solutions of difference equations
Alexander Fedotov, Frédéric Klopp
We consider the difference Schr{\''o}dinger equation where is a complex variable and is a small positive parameter. If is an analytic functi…
The complex WKB method for difference equations and Airy functions
Frédéric Klopp, Alexander Fedotov
We consider the difference Schr{ö}dinger equation (z + h) + (z -- h) + v(z)(z) = 0 where z is a complex variable, h > 0 is a parameter, and v is an analytic function. As h…
Adiabatic evolution generated by a one-dimensional Schrödinger operator with decreasing number of eigenvalues
Alexander Fedotov
We study a one-dimensional non-stationary Schrödinger equation with a potential slowly depending on time. The corresponding stationary operator depends on time as on a parameter. I…
An exact renormalization formula for the Maryland model
Alexander Fedotov, Fedor Sandomirskiy
We discuss the difference Schrödinger equation , , where , , and are parameters. We obtain explicit renormalizat…