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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2016-01-01
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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. |
format | Article |
id | doaj-art-a53ad58c2be64f7f878837dc54d2e2ca |
institution | Kabale University |
issn | 1687-7357 1687-7365 |
language | English |
publishDate | 2016-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT hadisobhani studyoftimeevolutionforapproximationoftwobodyspinlesssalpeterequationinpresenceoftimedependentinteraction AT hassanhassanabadi studyoftimeevolutionforapproximationoftwobodyspinlesssalpeterequationinpresenceoftimedependentinteraction |