27 citations · 114 across the 15 of their papers we have counts for
5 papers · 1 filter
Exact results for a fractional derivative of elementary functions
Gavriil Shchedrin, Nathanael C. Smith, Anastasia Gladkina +1
We present exact analytical results for the Caputo fractional derivative of a wide class of elementary functions, including trigonometric and inverse trigonometric, hyperbolic and…
Expansion of fractional derivatives in terms of an integer derivative series: physical and numerical applications
Anastasia Gladkina, Gavriil Shchedrin, U. Al Khawaja +1
We use the displacement operator to derive an infinite series of integer order derivatives for the Grünwald-Letnikov fractional derivative and show its correspondence to the Rieman…
Absence of Landau damping in driven three-component Bose-Einstein condensate in optical lattices
Gavriil Shchedrin, Daniel Jaschke, Lincoln D. Carr
We explore the quantum many-body physics of a three-component Bose-Einstein condensate (BEC) in an optical lattices driven by laser fields in and configurations. We obtain…
Nambu identity and collective modes in superconductors and superfluid He
Gavriil Shchedrin, David M. Lee
Collective modes manifest themselves in a variety of different physical systems ranging from superconductors to superfluid He. The collective modes are generated via the Higg…
Analytic solution and pulse area theorem for three-level atoms
Gavriil Shchedrin, Chris O'Brien, Yuri Rostovtsev +1
We report an analytic solution for a three-level atom driven by arbitrary time-dependent electromagnetic pulses. In particular, we consider far-detuned driving pulses and show an e…