Schwinger Method for 3-Dimensional Time Dependent Quadratic Systems.
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| Title: | Schwinger Method for 3-Dimensional Time Dependent Quadratic Systems. |
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| Authors: | Boudjema-Bouloudenine, M.1 mounabouloudenine@yahoo.fr, Boudjedaa, T.2 boudjedaa@gmail.com |
| Source: | International Journal of Theoretical Physics. May2008, Vol. 47 Issue 5, p1156-1172. 17p. |
| Subjects: | Mathematical decoupling, Contact transformations, Hamiltonian operator, Differential operators, Mathematical inequalities |
| Abstract: | We present an operatorial technique that uses Schwinger action principle, by means of quantum canonical transformations. This technique enables us to decouple the Hamiltonian of 3-dimensional time dependent quadratic systems (3D TDQS) with linear terms and to transform it to that of free particles, in order to determine exactly the relative propagator of the system. The study is made in this paper for general 3D systems with 3 hybrid anisotropic and varying coupling terms (containing both of position and momentum components), for 3D systems with one varying hybrid coupling term, and for 3D systems with no coupling terms. Two physically relevant examples are presented to illustrate the concrete application of the general formula obtained in this study, those of charged particles in scalar and vector potentials. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Items | – Name: Title Label: Title Group: Ti Data: Schwinger Method for 3-Dimensional Time Dependent Quadratic Systems. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Boudjema-Bouloudenine%2C+M%2E%22">Boudjema-Bouloudenine, M.</searchLink><relatesTo>1</relatesTo><i> mounabouloudenine@yahoo.fr</i><br /><searchLink fieldCode="AR" term="%22Boudjedaa%2C+T%2E%22">Boudjedaa, T.</searchLink><relatesTo>2</relatesTo><i> boudjedaa@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Theoretical+Physics%22">International Journal of Theoretical Physics</searchLink>. May2008, Vol. 47 Issue 5, p1156-1172. 17p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Mathematical+decoupling%22">Mathematical decoupling</searchLink><br /><searchLink fieldCode="DE" term="%22Contact+transformations%22">Contact transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Hamiltonian+operator%22">Hamiltonian operator</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+operators%22">Differential operators</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+inequalities%22">Mathematical inequalities</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We present an operatorial technique that uses Schwinger action principle, by means of quantum canonical transformations. This technique enables us to decouple the Hamiltonian of 3-dimensional time dependent quadratic systems (3D TDQS) with linear terms and to transform it to that of free particles, in order to determine exactly the relative propagator of the system. The study is made in this paper for general 3D systems with 3 hybrid anisotropic and varying coupling terms (containing both of position and momentum components), for 3D systems with one varying hybrid coupling term, and for 3D systems with no coupling terms. Two physically relevant examples are presented to illustrate the concrete application of the general formula obtained in this study, those of charged particles in scalar and vector potentials. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10773-007-9545-5 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 1156 Subjects: – SubjectFull: Mathematical decoupling Type: general – SubjectFull: Contact transformations Type: general – SubjectFull: Hamiltonian operator Type: general – SubjectFull: Differential operators Type: general – SubjectFull: Mathematical inequalities Type: general Titles: – TitleFull: Schwinger Method for 3-Dimensional Time Dependent Quadratic Systems. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Boudjema-Bouloudenine, M. – PersonEntity: Name: NameFull: Boudjedaa, T. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2008 Type: published Y: 2008 Identifiers: – Type: issn-print Value: 00207748 Numbering: – Type: volume Value: 47 – Type: issue Value: 5 Titles: – TitleFull: International Journal of Theoretical Physics Type: main |
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