New inversion methods for the Lorentz Integral Transform
Abstract. The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross-sections without explicit knowledge of final-state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-pose...
Ausführliche Beschreibung
Autor*in: |
Andreasi, D. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2005 |
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Anmerkung: |
© Società Italiana di Fisica and Springer-Verlag 2005 |
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Übergeordnetes Werk: |
Enthalten in: The European physical journal / A - Società Italiana di Fisica, 1998, 24(2005), 3 vom: 24. Mai, Seite 361-372 |
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Übergeordnetes Werk: |
volume:24 ; year:2005 ; number:3 ; day:24 ; month:05 ; pages:361-372 |
Links: |
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DOI / URN: |
10.1140/epja/i2005-10009-3 |
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OLC2051740704 |
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520 | |a Abstract. The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross-sections without explicit knowledge of final-state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-posed problem. In this work new inversion techniques for the Lorentz Integral Transform are introduced. It is shown that they all contain a regularization scheme, which is necessary to overcome the ill-posed problem. In addition, it is illustrated that the new techniques have a much broader range of application than the present standard inversion method of the Lorentz Integral Transform. | ||
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10.1140/epja/i2005-10009-3 doi (DE-627)OLC2051740704 (DE-He213)i2005-10009-3-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Andreasi, D. verfasserin aut New inversion methods for the Lorentz Integral Transform 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica and Springer-Verlag 2005 Abstract. The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross-sections without explicit knowledge of final-state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-posed problem. In this work new inversion techniques for the Lorentz Integral Transform are introduced. It is shown that they all contain a regularization scheme, which is necessary to overcome the ill-posed problem. In addition, it is illustrated that the new techniques have a much broader range of application than the present standard inversion method of the Lorentz Integral Transform. Leidemann, W. aut Reiß, C. aut Schwamb, M. aut Enthalten in The European physical journal / A Società Italiana di Fisica, 1998 24(2005), 3 vom: 24. Mai, Seite 361-372 (DE-627)239430387 (DE-600)1413603-X (DE-576)064448398 1434-6001 nnns volume:24 year:2005 number:3 day:24 month:05 pages:361-372 https://doi.org/10.1140/epja/i2005-10009-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_105 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_4029 GBV_ILN_4082 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4307 AR 24 2005 3 24 05 361-372 |
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10.1140/epja/i2005-10009-3 doi (DE-627)OLC2051740704 (DE-He213)i2005-10009-3-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Andreasi, D. verfasserin aut New inversion methods for the Lorentz Integral Transform 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica and Springer-Verlag 2005 Abstract. The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross-sections without explicit knowledge of final-state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-posed problem. In this work new inversion techniques for the Lorentz Integral Transform are introduced. It is shown that they all contain a regularization scheme, which is necessary to overcome the ill-posed problem. In addition, it is illustrated that the new techniques have a much broader range of application than the present standard inversion method of the Lorentz Integral Transform. Leidemann, W. aut Reiß, C. aut Schwamb, M. aut Enthalten in The European physical journal / A Società Italiana di Fisica, 1998 24(2005), 3 vom: 24. Mai, Seite 361-372 (DE-627)239430387 (DE-600)1413603-X (DE-576)064448398 1434-6001 nnns volume:24 year:2005 number:3 day:24 month:05 pages:361-372 https://doi.org/10.1140/epja/i2005-10009-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_105 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_4029 GBV_ILN_4082 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4307 AR 24 2005 3 24 05 361-372 |
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10.1140/epja/i2005-10009-3 doi (DE-627)OLC2051740704 (DE-He213)i2005-10009-3-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Andreasi, D. verfasserin aut New inversion methods for the Lorentz Integral Transform 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica and Springer-Verlag 2005 Abstract. The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross-sections without explicit knowledge of final-state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-posed problem. In this work new inversion techniques for the Lorentz Integral Transform are introduced. It is shown that they all contain a regularization scheme, which is necessary to overcome the ill-posed problem. In addition, it is illustrated that the new techniques have a much broader range of application than the present standard inversion method of the Lorentz Integral Transform. Leidemann, W. aut Reiß, C. aut Schwamb, M. aut Enthalten in The European physical journal / A Società Italiana di Fisica, 1998 24(2005), 3 vom: 24. Mai, Seite 361-372 (DE-627)239430387 (DE-600)1413603-X (DE-576)064448398 1434-6001 nnns volume:24 year:2005 number:3 day:24 month:05 pages:361-372 https://doi.org/10.1140/epja/i2005-10009-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_105 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_4029 GBV_ILN_4082 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4307 AR 24 2005 3 24 05 361-372 |
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10.1140/epja/i2005-10009-3 doi (DE-627)OLC2051740704 (DE-He213)i2005-10009-3-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Andreasi, D. verfasserin aut New inversion methods for the Lorentz Integral Transform 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica and Springer-Verlag 2005 Abstract. The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross-sections without explicit knowledge of final-state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-posed problem. In this work new inversion techniques for the Lorentz Integral Transform are introduced. It is shown that they all contain a regularization scheme, which is necessary to overcome the ill-posed problem. In addition, it is illustrated that the new techniques have a much broader range of application than the present standard inversion method of the Lorentz Integral Transform. Leidemann, W. aut Reiß, C. aut Schwamb, M. aut Enthalten in The European physical journal / A Società Italiana di Fisica, 1998 24(2005), 3 vom: 24. Mai, Seite 361-372 (DE-627)239430387 (DE-600)1413603-X (DE-576)064448398 1434-6001 nnns volume:24 year:2005 number:3 day:24 month:05 pages:361-372 https://doi.org/10.1140/epja/i2005-10009-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_105 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_4029 GBV_ILN_4082 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4307 AR 24 2005 3 24 05 361-372 |
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10.1140/epja/i2005-10009-3 doi (DE-627)OLC2051740704 (DE-He213)i2005-10009-3-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Andreasi, D. verfasserin aut New inversion methods for the Lorentz Integral Transform 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica and Springer-Verlag 2005 Abstract. The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross-sections without explicit knowledge of final-state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-posed problem. In this work new inversion techniques for the Lorentz Integral Transform are introduced. It is shown that they all contain a regularization scheme, which is necessary to overcome the ill-posed problem. In addition, it is illustrated that the new techniques have a much broader range of application than the present standard inversion method of the Lorentz Integral Transform. Leidemann, W. aut Reiß, C. aut Schwamb, M. aut Enthalten in The European physical journal / A Società Italiana di Fisica, 1998 24(2005), 3 vom: 24. Mai, Seite 361-372 (DE-627)239430387 (DE-600)1413603-X (DE-576)064448398 1434-6001 nnns volume:24 year:2005 number:3 day:24 month:05 pages:361-372 https://doi.org/10.1140/epja/i2005-10009-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_105 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_4029 GBV_ILN_4082 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4307 AR 24 2005 3 24 05 361-372 |
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Abstract. The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross-sections without explicit knowledge of final-state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-posed problem. In this work new inversion techniques for the Lorentz Integral Transform are introduced. It is shown that they all contain a regularization scheme, which is necessary to overcome the ill-posed problem. In addition, it is illustrated that the new techniques have a much broader range of application than the present standard inversion method of the Lorentz Integral Transform. © Società Italiana di Fisica and Springer-Verlag 2005 |
abstractGer |
Abstract. The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross-sections without explicit knowledge of final-state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-posed problem. In this work new inversion techniques for the Lorentz Integral Transform are introduced. It is shown that they all contain a regularization scheme, which is necessary to overcome the ill-posed problem. In addition, it is illustrated that the new techniques have a much broader range of application than the present standard inversion method of the Lorentz Integral Transform. © Società Italiana di Fisica and Springer-Verlag 2005 |
abstract_unstemmed |
Abstract. The Lorentz Integral Transform approach allows microscopic calculations of electromagnetic reaction cross-sections without explicit knowledge of final-state wave functions. The necessary inversion of the transform has to be treated with great care, since it constitutes a so-called ill-posed problem. In this work new inversion techniques for the Lorentz Integral Transform are introduced. It is shown that they all contain a regularization scheme, which is necessary to overcome the ill-posed problem. In addition, it is illustrated that the new techniques have a much broader range of application than the present standard inversion method of the Lorentz Integral Transform. © Società Italiana di Fisica and Springer-Verlag 2005 |
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New inversion methods for the Lorentz Integral Transform |
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https://doi.org/10.1140/epja/i2005-10009-3 |
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Leidemann, W. Reiß, C. Schwamb, M. |
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Leidemann, W. Reiß, C. Schwamb, M. |
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10.1140/epja/i2005-10009-3 |
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