Study of Time Evolution for Approximation of Two-Body Spinless Salpeter Equation in Presence of Time-Dependent Interaction

We approximate the two-body spinless Salpeter equation with the one which is valid in heavy quarks limit. We consider the resulting semirelativistic equation in a time-dependent formulation. We use the Lewis-Riesenfeld dynamical invariant method and series solution to obtain the solutions of the dif...

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Main Authors: Hadi Sobhani, Hassan Hassanabadi
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2016/3647392
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author Hadi Sobhani
Hassan Hassanabadi
author_facet Hadi Sobhani
Hassan Hassanabadi
author_sort Hadi Sobhani
collection DOAJ
description We approximate the two-body spinless Salpeter equation with the one which is valid in heavy quarks limit. We consider the resulting semirelativistic equation in a time-dependent formulation. We use the Lewis-Riesenfeld dynamical invariant method and series solution to obtain the solutions of the differential equation. We have also done some calculations in order to derive the time evolution operator for the considered problem.
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series Advances in High Energy Physics
spelling doaj-art-a53ad58c2be64f7f878837dc54d2e2ca2025-02-03T06:47:54ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/36473923647392Study of Time Evolution for Approximation of Two-Body Spinless Salpeter Equation in Presence of Time-Dependent InteractionHadi Sobhani0Hassan Hassanabadi1Physics Department, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, IranPhysics Department, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, IranWe approximate the two-body spinless Salpeter equation with the one which is valid in heavy quarks limit. We consider the resulting semirelativistic equation in a time-dependent formulation. We use the Lewis-Riesenfeld dynamical invariant method and series solution to obtain the solutions of the differential equation. We have also done some calculations in order to derive the time evolution operator for the considered problem.http://dx.doi.org/10.1155/2016/3647392
spellingShingle Hadi Sobhani
Hassan Hassanabadi
Study of Time Evolution for Approximation of Two-Body Spinless Salpeter Equation in Presence of Time-Dependent Interaction
Advances in High Energy Physics
title Study of Time Evolution for Approximation of Two-Body Spinless Salpeter Equation in Presence of Time-Dependent Interaction
title_full Study of Time Evolution for Approximation of Two-Body Spinless Salpeter Equation in Presence of Time-Dependent Interaction
title_fullStr Study of Time Evolution for Approximation of Two-Body Spinless Salpeter Equation in Presence of Time-Dependent Interaction
title_full_unstemmed Study of Time Evolution for Approximation of Two-Body Spinless Salpeter Equation in Presence of Time-Dependent Interaction
title_short Study of Time Evolution for Approximation of Two-Body Spinless Salpeter Equation in Presence of Time-Dependent Interaction
title_sort study of time evolution for approximation of two body spinless salpeter equation in presence of time dependent interaction
url http://dx.doi.org/10.1155/2016/3647392
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AT hassanhassanabadi studyoftimeevolutionforapproximationoftwobodyspinlesssalpeterequationinpresenceoftimedependentinteraction