The Stationary Maxwell-Dirac Equations
The Maxwell-Dirac equations are the equations for electronic matter, the "classical" theory underlying QED. In this article we examine the stationary Maxwell-Dirac equations under weak regularity and decay assumptions. We prove that: There are no embedded eigenvalues in the essential spect...
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| creator | Radford, Chris |
| description | The Maxwell-Dirac equations are the equations for electronic matter, the
"classical" theory underlying QED. In this article we examine the stationary
Maxwell-Dirac equations under weak regularity and decay assumptions.
We prove that:
There are no embedded eigenvalues in the essential spectrum, $-m\leq E\leq
m$.
If $|E|< m$ then the Dirac field components (and their derivatives) decay
exponentially at spatial infinity.
If $E|=m$ then the system is "asymptotically" static and decays exponentially
if the total charge is non-zero. |
| doi_str_mv | 10.48550/arxiv.math-ph/0112037 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_math_ph_0112037</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>math_ph_0112037</sourcerecordid><originalsourceid>FETCH-LOGICAL-a777-ab505027b107225cac14dea469555c00e9775c610f5f72cc9a108adee3559a623</originalsourceid><addsrcrecordid>eNotzrsOgkAQheFtLIz6CobC2K3OLgwDpfGeaCykJ8O6BBJQRLy9vdfqFH9y8gnRVzDyAkQYc_3Ib6OSm0xW2RiU0uBSWwyjzDr7hpv8dOT66Wz5cbdFIWd5zcaZn6_fcumKVsrFxfb-2xHRYh5NV3KzW66nk41kIpKcICBoShSQ1mjYKO9g2fNDRDQANiRC4ytIMSVtTMgKAj5Y6yKG7Gu3Iwa_2682ruq8fKPijzqusvivdl8bLz5I</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>The Stationary Maxwell-Dirac Equations</title><source>arXiv.org</source><creator>Radford, Chris</creator><creatorcontrib>Radford, Chris</creatorcontrib><description>The Maxwell-Dirac equations are the equations for electronic matter, the
"classical" theory underlying QED. In this article we examine the stationary
Maxwell-Dirac equations under weak regularity and decay assumptions.
We prove that:
There are no embedded eigenvalues in the essential spectrum, $-m\leq E\leq
m$.
If $|E|< m$ then the Dirac field components (and their derivatives) decay
exponentially at spatial infinity.
If $E|=m$ then the system is "asymptotically" static and decays exponentially
if the total charge is non-zero.</description><identifier>DOI: 10.48550/arxiv.math-ph/0112037</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Mathematical Physics</subject><creationdate>2001-12</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/math-ph/0112037$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.math-ph/0112037$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Radford, Chris</creatorcontrib><title>The Stationary Maxwell-Dirac Equations</title><description>The Maxwell-Dirac equations are the equations for electronic matter, the
"classical" theory underlying QED. In this article we examine the stationary
Maxwell-Dirac equations under weak regularity and decay assumptions.
We prove that:
There are no embedded eigenvalues in the essential spectrum, $-m\leq E\leq
m$.
If $|E|< m$ then the Dirac field components (and their derivatives) decay
exponentially at spatial infinity.
If $E|=m$ then the system is "asymptotically" static and decays exponentially
if the total charge is non-zero.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzrsOgkAQheFtLIz6CobC2K3OLgwDpfGeaCykJ8O6BBJQRLy9vdfqFH9y8gnRVzDyAkQYc_3Ib6OSm0xW2RiU0uBSWwyjzDr7hpv8dOT66Wz5cbdFIWd5zcaZn6_fcumKVsrFxfb-2xHRYh5NV3KzW66nk41kIpKcICBoShSQ1mjYKO9g2fNDRDQANiRC4ytIMSVtTMgKAj5Y6yKG7Gu3Iwa_2682ruq8fKPijzqusvivdl8bLz5I</recordid><startdate>20011217</startdate><enddate>20011217</enddate><creator>Radford, Chris</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20011217</creationdate><title>The Stationary Maxwell-Dirac Equations</title><author>Radford, Chris</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a777-ab505027b107225cac14dea469555c00e9775c610f5f72cc9a108adee3559a623</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Radford, Chris</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Radford, Chris</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Stationary Maxwell-Dirac Equations</atitle><date>2001-12-17</date><risdate>2001</risdate><abstract>The Maxwell-Dirac equations are the equations for electronic matter, the
"classical" theory underlying QED. In this article we examine the stationary
Maxwell-Dirac equations under weak regularity and decay assumptions.
We prove that:
There are no embedded eigenvalues in the essential spectrum, $-m\leq E\leq
m$.
If $|E|< m$ then the Dirac field components (and their derivatives) decay
exponentially at spatial infinity.
If $E|=m$ then the system is "asymptotically" static and decays exponentially
if the total charge is non-zero.</abstract><doi>10.48550/arxiv.math-ph/0112037</doi><oa>free_for_read</oa></addata></record> |
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| source | arXiv.org |
| subjects | Mathematics - Mathematical Physics Physics - Mathematical Physics |
| title | The Stationary Maxwell-Dirac Equations |
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