43 citations · 247 across the 16 of their papers we have counts for
16 papers
On Electron-Positron Pair Production by a Spatially Nonuniform Electric Field
A. Chervyakov, H. Kleinert
A detailed analysis of electron-positron pair creation induced by a spatially nonuniform and static electric field from vacuum is presented. A typical example is provided by the Sa…
Exact Pair Production Rate for a Smooth Potential Step
A. Chervyakov, H. Kleinert
We derive the exact rate of pair production of oppositely charged scalar particles by a smooth potential proportional to tanh kz in three dimensions. As a check we recover from thi…
Perturbation Theory for Path Integrals of Stiff Polymers
H. Kleinert, A. Chervyakov
The wormlike chain model of stiff polymers is a nonlinear -model in one spacetime dimension in which the ends are fluctuating freely. This causes important differences with resp…
Perturbatively Defined Effective Classical Potential in Curved Space
H. Kleinert, A. Chervyakov
The partition function of a quantum statistical system in flat space can always be written as an integral over a classical Boltzmann factor $\exp[ -βV^{\rm eff cl({\bf x}_0)]$, whe…
Integrals over Products of Distributions from Manifest Coordinate Invariance of Perturbation Expansions of Path Integrals in Curved Space
H. Kleinert, A. Chervyakov
We show that the requirement of manifest coordinate invariance of perturbatively defined quantum-mechanical path integrals in curved space leads to an extension of the theory of di…
Covariant Effective Action for Quantum Particle with Coordinate-Dependent Mass
H. Kleinert, A. Chervyakov
Using a covariant background field method we calculate the one-loop quantum effective action for a particle with coordinate-dependent mass moving slowly through a one-dimensional c…