103 citations · 1.4k across the 72 of their papers we have counts for
72 papers
Green function of the double fractional Fokker-Planck equation: Path integral and stochastic differential equations
H. Kleinert, V. Zatloukal
The statistics of rare events, the so-called black-swan events, is governed by non-Gaussian distributions with heavy power-like tails. We calculate the Green functions of the assoc…
Melting of Wigner-like Lattice of Parallel Polarized Dipoles
H. Kleinert
We show that a triangular lattice consisting of dipolar molecules pointing orthogonal to the plane undergoes a first-order defect melting transition.
Phase Transitions in Three-Dimensional Bosonic Systems in Optical Lattices
H. Kleinert, Z. Narzikulov, Abdulla Rakhimov
We formulate the Collective Quantum Field Theory for three-dimensional bosonic optical lattices and evaluate its consequences in a mean-field approximation to two collective fields…
Semiclassical Approach to the Physics of Smooth Superlattice Potentials in Graphene
Juergen Dietel, Hagen Kleinert
Due to the chiral nature of the Dirac equation, overlying of an electrical superlattice (SL) can open new Dirac points on the Fermi-surface of the energy spectrum. These lead to no…
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…
Quantum phase transitions in optical lattices beyond Bogoliubov approximation
H. Kleinert, Z. Narzikulov, Abdulla Rakhimov
We study the quantum phase transition in optical lattices using ordinary Bose Hubbard Hamiltonian within two loop approximation in variational perturbation theory. We have shown th…