The Classical Coulomb Problem in Pre-Maxwell Electrodynamics
Abstract We explore certain difficulties in the covariant classical mechanics associated with off-shell electrodynamics, through an examination of the classical Coulomb problem. We present a straightforward solution of the classical equations of motion for a test event traversing the field induced b...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Land, M. C. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1998 |
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| Schlagwörter: |
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| Anmerkung: |
© Plenum Publishing Corporation 1998 |
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| Übergeordnetes Werk: |
Enthalten in: Foundations of physics - Kluwer Academic Publishers-Plenum Publishers, 1970, 28(1998), 9 vom: Sept., Seite 1489-1497 |
|---|---|
| Übergeordnetes Werk: |
volume:28 ; year:1998 ; number:9 ; month:09 ; pages:1489-1497 |
| Links: |
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| DOI / URN: |
10.1023/A:1018865413499 |
|---|
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OLC2039095667 |
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| 520 | |a Abstract We explore certain difficulties in the covariant classical mechanics associated with off-shell electrodynamics, through an examination of the classical Coulomb problem. We present a straightforward solution of the classical equations of motion for a test event traversing the field induced by a “fixed” event (an event moving uniformly along the time axis at a fixed point in space). This solution reveals the essential difficulties in the formalism at the classical level. We then offer a new model of the particle, as a certain distribution of events on the worldline, which eliminates these difficulties and permits comparison of classical off-shell electrodynamics with the standard Maxwell theory In this model, the “fixed” event induces a Yukawa-type potential, permitting a semiclassical identification of the pre-Maxwell time scale λ with the inverse mass of the intervening photon. Numerical solutions to the equations of motion are compared with the standard Maxwell solutions—they are seen to coincide when λ > $ 10^{–6} $ sec, providing an initial estimate of this parameter. | ||
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10.1023/A:1018865413499 doi (DE-627)OLC2039095667 (DE-He213)A:1018865413499-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Land, M. C. verfasserin aut The Classical Coulomb Problem in Pre-Maxwell Electrodynamics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1998 Abstract We explore certain difficulties in the covariant classical mechanics associated with off-shell electrodynamics, through an examination of the classical Coulomb problem. We present a straightforward solution of the classical equations of motion for a test event traversing the field induced by a “fixed” event (an event moving uniformly along the time axis at a fixed point in space). This solution reveals the essential difficulties in the formalism at the classical level. We then offer a new model of the particle, as a certain distribution of events on the worldline, which eliminates these difficulties and permits comparison of classical off-shell electrodynamics with the standard Maxwell theory In this model, the “fixed” event induces a Yukawa-type potential, permitting a semiclassical identification of the pre-Maxwell time scale λ with the inverse mass of the intervening photon. Numerical solutions to the equations of motion are compared with the standard Maxwell solutions—they are seen to coincide when λ > $ 10^{–6} $ sec, providing an initial estimate of this parameter. Classical Equation Initial Estimate Classical Mechanic Time Axis Classical Level Enthalten in Foundations of physics Kluwer Academic Publishers-Plenum Publishers, 1970 28(1998), 9 vom: Sept., Seite 1489-1497 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:28 year:1998 number:9 month:09 pages:1489-1497 https://doi.org/10.1023/A:1018865413499 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4046 AR 28 1998 9 09 1489-1497 |
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10.1023/A:1018865413499 doi (DE-627)OLC2039095667 (DE-He213)A:1018865413499-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Land, M. C. verfasserin aut The Classical Coulomb Problem in Pre-Maxwell Electrodynamics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1998 Abstract We explore certain difficulties in the covariant classical mechanics associated with off-shell electrodynamics, through an examination of the classical Coulomb problem. We present a straightforward solution of the classical equations of motion for a test event traversing the field induced by a “fixed” event (an event moving uniformly along the time axis at a fixed point in space). This solution reveals the essential difficulties in the formalism at the classical level. We then offer a new model of the particle, as a certain distribution of events on the worldline, which eliminates these difficulties and permits comparison of classical off-shell electrodynamics with the standard Maxwell theory In this model, the “fixed” event induces a Yukawa-type potential, permitting a semiclassical identification of the pre-Maxwell time scale λ with the inverse mass of the intervening photon. Numerical solutions to the equations of motion are compared with the standard Maxwell solutions—they are seen to coincide when λ > $ 10^{–6} $ sec, providing an initial estimate of this parameter. Classical Equation Initial Estimate Classical Mechanic Time Axis Classical Level Enthalten in Foundations of physics Kluwer Academic Publishers-Plenum Publishers, 1970 28(1998), 9 vom: Sept., Seite 1489-1497 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:28 year:1998 number:9 month:09 pages:1489-1497 https://doi.org/10.1023/A:1018865413499 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4046 AR 28 1998 9 09 1489-1497 |
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10.1023/A:1018865413499 doi (DE-627)OLC2039095667 (DE-He213)A:1018865413499-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Land, M. C. verfasserin aut The Classical Coulomb Problem in Pre-Maxwell Electrodynamics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1998 Abstract We explore certain difficulties in the covariant classical mechanics associated with off-shell electrodynamics, through an examination of the classical Coulomb problem. We present a straightforward solution of the classical equations of motion for a test event traversing the field induced by a “fixed” event (an event moving uniformly along the time axis at a fixed point in space). This solution reveals the essential difficulties in the formalism at the classical level. We then offer a new model of the particle, as a certain distribution of events on the worldline, which eliminates these difficulties and permits comparison of classical off-shell electrodynamics with the standard Maxwell theory In this model, the “fixed” event induces a Yukawa-type potential, permitting a semiclassical identification of the pre-Maxwell time scale λ with the inverse mass of the intervening photon. Numerical solutions to the equations of motion are compared with the standard Maxwell solutions—they are seen to coincide when λ > $ 10^{–6} $ sec, providing an initial estimate of this parameter. Classical Equation Initial Estimate Classical Mechanic Time Axis Classical Level Enthalten in Foundations of physics Kluwer Academic Publishers-Plenum Publishers, 1970 28(1998), 9 vom: Sept., Seite 1489-1497 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:28 year:1998 number:9 month:09 pages:1489-1497 https://doi.org/10.1023/A:1018865413499 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4046 AR 28 1998 9 09 1489-1497 |
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10.1023/A:1018865413499 doi (DE-627)OLC2039095667 (DE-He213)A:1018865413499-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Land, M. C. verfasserin aut The Classical Coulomb Problem in Pre-Maxwell Electrodynamics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1998 Abstract We explore certain difficulties in the covariant classical mechanics associated with off-shell electrodynamics, through an examination of the classical Coulomb problem. We present a straightforward solution of the classical equations of motion for a test event traversing the field induced by a “fixed” event (an event moving uniformly along the time axis at a fixed point in space). This solution reveals the essential difficulties in the formalism at the classical level. We then offer a new model of the particle, as a certain distribution of events on the worldline, which eliminates these difficulties and permits comparison of classical off-shell electrodynamics with the standard Maxwell theory In this model, the “fixed” event induces a Yukawa-type potential, permitting a semiclassical identification of the pre-Maxwell time scale λ with the inverse mass of the intervening photon. Numerical solutions to the equations of motion are compared with the standard Maxwell solutions—they are seen to coincide when λ > $ 10^{–6} $ sec, providing an initial estimate of this parameter. Classical Equation Initial Estimate Classical Mechanic Time Axis Classical Level Enthalten in Foundations of physics Kluwer Academic Publishers-Plenum Publishers, 1970 28(1998), 9 vom: Sept., Seite 1489-1497 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:28 year:1998 number:9 month:09 pages:1489-1497 https://doi.org/10.1023/A:1018865413499 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4046 AR 28 1998 9 09 1489-1497 |
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10.1023/A:1018865413499 doi (DE-627)OLC2039095667 (DE-He213)A:1018865413499-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Land, M. C. verfasserin aut The Classical Coulomb Problem in Pre-Maxwell Electrodynamics 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1998 Abstract We explore certain difficulties in the covariant classical mechanics associated with off-shell electrodynamics, through an examination of the classical Coulomb problem. We present a straightforward solution of the classical equations of motion for a test event traversing the field induced by a “fixed” event (an event moving uniformly along the time axis at a fixed point in space). This solution reveals the essential difficulties in the formalism at the classical level. We then offer a new model of the particle, as a certain distribution of events on the worldline, which eliminates these difficulties and permits comparison of classical off-shell electrodynamics with the standard Maxwell theory In this model, the “fixed” event induces a Yukawa-type potential, permitting a semiclassical identification of the pre-Maxwell time scale λ with the inverse mass of the intervening photon. Numerical solutions to the equations of motion are compared with the standard Maxwell solutions—they are seen to coincide when λ > $ 10^{–6} $ sec, providing an initial estimate of this parameter. Classical Equation Initial Estimate Classical Mechanic Time Axis Classical Level Enthalten in Foundations of physics Kluwer Academic Publishers-Plenum Publishers, 1970 28(1998), 9 vom: Sept., Seite 1489-1497 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:28 year:1998 number:9 month:09 pages:1489-1497 https://doi.org/10.1023/A:1018865413499 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4012 GBV_ILN_4046 AR 28 1998 9 09 1489-1497 |
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The Classical Coulomb Problem in Pre-Maxwell Electrodynamics |
| abstract |
Abstract We explore certain difficulties in the covariant classical mechanics associated with off-shell electrodynamics, through an examination of the classical Coulomb problem. We present a straightforward solution of the classical equations of motion for a test event traversing the field induced by a “fixed” event (an event moving uniformly along the time axis at a fixed point in space). This solution reveals the essential difficulties in the formalism at the classical level. We then offer a new model of the particle, as a certain distribution of events on the worldline, which eliminates these difficulties and permits comparison of classical off-shell electrodynamics with the standard Maxwell theory In this model, the “fixed” event induces a Yukawa-type potential, permitting a semiclassical identification of the pre-Maxwell time scale λ with the inverse mass of the intervening photon. Numerical solutions to the equations of motion are compared with the standard Maxwell solutions—they are seen to coincide when λ > $ 10^{–6} $ sec, providing an initial estimate of this parameter. © Plenum Publishing Corporation 1998 |
| abstractGer |
Abstract We explore certain difficulties in the covariant classical mechanics associated with off-shell electrodynamics, through an examination of the classical Coulomb problem. We present a straightforward solution of the classical equations of motion for a test event traversing the field induced by a “fixed” event (an event moving uniformly along the time axis at a fixed point in space). This solution reveals the essential difficulties in the formalism at the classical level. We then offer a new model of the particle, as a certain distribution of events on the worldline, which eliminates these difficulties and permits comparison of classical off-shell electrodynamics with the standard Maxwell theory In this model, the “fixed” event induces a Yukawa-type potential, permitting a semiclassical identification of the pre-Maxwell time scale λ with the inverse mass of the intervening photon. Numerical solutions to the equations of motion are compared with the standard Maxwell solutions—they are seen to coincide when λ > $ 10^{–6} $ sec, providing an initial estimate of this parameter. © Plenum Publishing Corporation 1998 |
| abstract_unstemmed |
Abstract We explore certain difficulties in the covariant classical mechanics associated with off-shell electrodynamics, through an examination of the classical Coulomb problem. We present a straightforward solution of the classical equations of motion for a test event traversing the field induced by a “fixed” event (an event moving uniformly along the time axis at a fixed point in space). This solution reveals the essential difficulties in the formalism at the classical level. We then offer a new model of the particle, as a certain distribution of events on the worldline, which eliminates these difficulties and permits comparison of classical off-shell electrodynamics with the standard Maxwell theory In this model, the “fixed” event induces a Yukawa-type potential, permitting a semiclassical identification of the pre-Maxwell time scale λ with the inverse mass of the intervening photon. Numerical solutions to the equations of motion are compared with the standard Maxwell solutions—they are seen to coincide when λ > $ 10^{–6} $ sec, providing an initial estimate of this parameter. © Plenum Publishing Corporation 1998 |
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9 |
| title_short |
The Classical Coulomb Problem in Pre-Maxwell Electrodynamics |
| url |
https://doi.org/10.1023/A:1018865413499 |
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| up_date |
2024-07-03T21:31:58.546Z |
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