, 2018 In this theoretical study, the problem of self-focusing of an X-ray intense laser beam in the thermal quantum plasma is studied. Using a relativistic fluid model and taking into account the hydrodynamic pressure of degenerate electrons in the zero ...
Javan, Naser Sepehri +3 more
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Generalized Adiabatic Product Expansion: A nonperturbative method of solving time-dependent Schroedinger equation [PDF]
, 1999 We outline a method based on successive canonical transformations which yields a product expansion for the evolution operator of a general (possibly non-Hermitian) Hamiltonian.
Mostafazadeh, Ali
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Many-body-QED perturbation theory: Connection to the Bethe-Salpeter equation
, 2005 The connection between many-body theory (MBPT)--in perturbative and non-perturbative form--and quantum-electrodynamics (QED) is reviewed for systems of two fermions in an external field. The treatment is mainly based upon the recently developed covariant-
Adkins +44 more
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Quantum Control of Coherent π-Electron Dynamics in Aromatic Ring Molecules
Frontiers in Physics, 2021 Herein we review a theoretical study of unidirectional π-electron rotation in aromatic ring molecules, which originates from two quasi-degenerate electronic excited states created coherently by a linearly polarized ultraviolet/visible laser with a ...
Hirobumi Mineo +3 more
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Coherently Driven N Number of Degenerate Three-Level Atoms with Parametric Amplifier
Advances in Mathematical Physics, 2020 We have analyzed the squeezing and statistical properties of the cavity light beam produced by a coherently driven degenerate three-level laser with a degenerate parametric amplifier (DPA) in an open cavity and coupled to a vacuum reservoir via a single ...
Tamirat Abebe +2 more
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Hypoelliptic Degenerate Evolution Equations of the Second Order
Publications of the Research Institute for Mathematical Sciences, 1975 For degenerate parabolic differential operators, the study of hypoellipticity has been made by many authors (see [1]~[9]). But for degenerate ]?-parabolie differential operators, its study has not been made so detailed (see F. Treves [10]). So we shall give a sufficient condition for the operator given by (0.1) to be hypoelliptic by constructing very ...
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Homogenization of locally stationary diffusions with possibly degenerate diffusion matrix [PDF]
, 2009 This paper deals with homogenization of second order divergence form parabolic operators with locally stationary coefficients. Roughly speaking, locally stationary coefficients have two evolution scales: both an almost constant microscopic one and a ...
Rhodes, Rémi
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Numerical treatment for some abstract degenerate second-order evolutionary problem
Results in Applied MathematicsThis paper addresses the numerical analysis of a class of a degenerate second-order evolution equations. We employ a finite element method for spatial discretization and a family of implicit finite difference schemes for time discretization.
Ramiro Acevedo +2 more
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Gauge-Invariant Initial Conditions and Early Time Perturbations in Quintessence Universes [PDF]
, 2003 We present a systematic treatment of the initial conditions and evolution of cosmological perturbations in a universe containing photons, baryons, neutrinos, cold dark matter, and a scalar quintessence field.
A.K. Rebhan +32 more
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Degenerating parabolic equations with a variable direction of evolution
Sibirskie Elektronnye Matematicheskie Izvestiya, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kozhanov, Aleksandr Ivanovich +1 more
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