{"id":"https://openalex.org/W2970583003","doi":null,"title":"Subtleties on the image method","display_name":"Subtleties on the image method","publication_year":2009,"publication_date":"2009-03-26","ids":{"openalex":"https://openalex.org/W2970583003","mag":"2970583003"},"language":"en","primary_location":{"id":"mag:2970583003","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/0903.4497","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0903.4497","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083625497","display_name":"M\u00e1rcio M. Taddei","orcid":"https://orcid.org/0000-0002-8595-0501","observed_orcids":["https://orcid.org/0000-0002-8595-0501"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M\u00e1rcio M. Taddei","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8595-0501","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028481866","display_name":"T. N. C. Mendes","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. N. C. Mendes","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5078170336","display_name":"Carlos Farina","orcid":"https://orcid.org/0000-0002-0402-3723","observed_orcids":["https://orcid.org/0000-0002-0402-3723"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. Farina","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-0402-3723","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14311","display_name":"Electrical and Electromagnetic Research","score":0.0210999995470047,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.003599999938160181,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/method-of-images","display_name":"method of images","score":0.9559999704360962},{"id":"https://openalex.org/keywords/electrostatic-energy","display_name":"electrostatic energy","score":0.9950000047683716},{"id":"https://openalex.org/keywords/perfect-electric-conductor","display_name":"perfect electric conductor","score":0.949999988079071},{"id":"https://openalex.org/keywords/point-charges","display_name":"point charges","score":0.746999979019165},{"id":"https://openalex.org/keywords/conducting-sphere","display_name":"conducting sphere","score":0.7369999885559082},{"id":"https://openalex.org/keywords/conducting-walls","display_name":"conducting walls","score":0.824999988079071},{"id":"https://openalex.org/keywords/image-charges","display_name":"image charges","score":0.47099998593330383}],"concepts":[{"id":"https://openalex.org/C2777179996","wikidata":"https://www.wikidata.org/wiki/Q911222","display_name":"Mistake","level":2,"score":0.7870858907699585},{"id":"https://openalex.org/C202374169","wikidata":"https://www.wikidata.org/wiki/Q124291","display_name":"Electrical conductor","level":2,"score":0.7505331039428711},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.7455539703369141},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.686682403087616},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6764454245567322},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.5812274217605591},{"id":"https://openalex.org/C175749648","wikidata":"https://www.wikidata.org/wiki/Q1068091","display_name":"Point particle","level":2,"score":0.5209223628044128},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.49841809272766113},{"id":"https://openalex.org/C145073311","wikidata":"https://www.wikidata.org/wiki/Q1372220","display_name":"Method of image charges","level":3,"score":0.4670240879058838},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4472995102405548},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.43926432728767395},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3874492645263672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36647218465805054},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.32587534189224243},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30100017786026},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2952079176902771},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.29283636808395386},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20774242281913757},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20641157031059265},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1800866425037384},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"mag:2970583003","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/0903.4497","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.244.2145","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.244.2145","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0903.4497v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.245.15","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.245.15","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0903.4497v2.pdf","raw_type":"text"}],"best_oa_location":{"id":"mag:2970583003","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/0903.4497","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1992458289","https://openalex.org/W2012567938","https://openalex.org/W1525389966","https://openalex.org/W7002132083","https://openalex.org/W7106140061","https://openalex.org/W7216740557","https://openalex.org/W1965687285","https://openalex.org/W2380598055","https://openalex.org/W2117639971","https://openalex.org/W2356288602"],"abstract_inverted_index":{"In":[0],"this":[1],"pedagogical":[2],"work":[3],"we":[4,42],"point":[5,76,81],"out":[6],"a":[7,27,64,92],"subtle":[8],"mistake":[9],"that":[10,44],"can":[11],"be":[12],"done":[13],"by":[14,63],"undergraduate":[15],"or":[16],"graduate":[17],"students":[18],"in":[19],"the":[20,23,38,45,49,58,89],"computation":[21],"of":[22,26,91,98],"electrostatic":[24,50],"energy":[25,51],"system":[28],"containing":[29],"charges":[30],"and":[31,80,85],"perfect":[32],"conductors":[33,97],"if":[34],"they":[35],"naively":[36],"use":[37],"image":[39,59],"method.":[40],"Specifically,":[41],"show":[43],"naive":[46],"expressions":[47],"for":[48,52,96],"these":[53],"systems":[54],"obtained":[55],"directly":[56],"from":[57],"method":[60],"are":[61],"wrong":[62],"factor":[65],"1/2.":[66],"We":[67],"start":[68],"our":[69],"discussion":[70],"with":[71],"well":[72],"known":[73],"examples,":[74],"namely,":[75],"charge-perfectly":[77],"conducting":[78,83],"wall":[79],"chargeperfectly":[82],"sphere":[84],"then":[86],"proceed":[87],"to":[88],"demonstration":[90],"general":[93],"result,":[94],"valid":[95],"arbitrary":[99],"shapes.":[100]},"counts_by_year":[],"updated_date":"2026-10-03T13:16:28.481748","created_date":"2019-09-05T00:00:00"}
