Long Range Interaction Corrections on the Quantum Vibronic Soliton

سالیتون‌های متراکم و رقیق غبار یون- آکوستیک در پلاسمای کوانتومی چهار مؤلفه‌ای

The propagation of nonlinear quantum dust ion-acoustic (QDIA) solitary waves in a unmagnetized quantum plasma whose constituents are inertialess quantum electrons and  positrons, classical cold ions and stationary negative dust grains are studied by deriving  the Korteweg–de Vries (KdV) equation under the reductive perturbation method. Quantum Hydrodynamic (QHD) equations are used to take into ...

Spin Dependence of D0-brane Interactions

It is commonly stated that there is a vanishing static force between BPS states in supersymmetric theories and this is reflected in the fact that there often exist exact multiparticle solutions to the classical BPS equations for supersymmetric configurations. This simple picture is however modified by quantum and relativistic effects. Quantum effects associated with fermion zero modes give soli...

Long Range Corrections to the Vapor-Liquid Equilibrium and Surface Tension of Methane with NVT Molecular Dynamics Simulations

Nuclear Physics B139 (1978) 159-169 0 North-Holland Publishing Company CALCULATING QUANTUM CORRECTIONS TO THE MASS OF A SOLITON WITHOUT COLLECTIVE COORDINATES *

Feynman rules are derived for computing quantum corrections to the mass of a soliton in quantum field theory. These rules exhibit a finite propagator, but in contrast to previous methods, no additional effective vertices are introduced beyond those present in the original shifted Lagrangian. The derivation is based on imposing end-point boundary conditions appropriate to a soliton state on the ...

Analytical Soliton Solutions Modeling of Nonlinear Schrödinger Equation with the Dual Power Law Nonlinearity  

Introduction In this study, we use a newly proposed method based on the software structure of the maple, called the Khaters method, and will be introducing exponential, hyperbolic, and trigonometric solutions for one of the Schrödinger equations, called the nonlinear Schrödinger equation with the dual power law nonlinearity. Given the widespread use of the Schrödinger equation in physics and e...