{"id":"https://openalex.org/W3158139557","doi":"https://doi.org/10.1109/iscas51556.2021.9401465","title":"Analog Switched-Capacitor Circuits for Solving the Schr\u00f6dinger Equation","display_name":"Analog Switched-Capacitor Circuits for Solving the Schr\u00f6dinger Equation","publication_year":2021,"publication_date":"2021-04-27","ids":{"openalex":"https://openalex.org/W3158139557","doi":"https://doi.org/10.1109/iscas51556.2021.9401465","mag":"3158139557"},"language":"en","primary_location":{"id":"doi:10.1109/iscas51556.2021.9401465","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas51556.2021.9401465","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040885774","display_name":"Jifu Liang","orcid":"https://orcid.org/0000-0002-6303-3649"},"institutions":[{"id":"https://openalex.org/I58956616","display_name":"Case Western Reserve University","ror":"https://ror.org/051fd9666","country_code":"US","type":"education","lineage":["https://openalex.org/I58956616"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jifu Liang","raw_affiliation_strings":["Department of Electrical, Computer, and Systems Engineering, Case Western Reserve University, Cleveland, OH, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical, Computer, and Systems Engineering, Case Western Reserve University, Cleveland, OH, USA","institution_ids":["https://openalex.org/I58956616"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055363140","display_name":"Hasantha Malavipathirana","orcid":"https://orcid.org/0000-0002-3607-8198"},"institutions":[{"id":"https://openalex.org/I19700959","display_name":"Florida International University","ror":"https://ror.org/02gz6gg07","country_code":"US","type":"education","lineage":["https://openalex.org/I19700959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hasantha Malavipathirana","raw_affiliation_strings":["Department of Electrical and Computer Engineering, FLorida International University, Miami, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, FLorida International University, Miami, FL, USA","institution_ids":["https://openalex.org/I19700959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102011050","display_name":"S. I. Hariharan","orcid":"https://orcid.org/0000-0001-6541-8860"},"institutions":[{"id":"https://openalex.org/I19700959","display_name":"Florida International University","ror":"https://ror.org/02gz6gg07","country_code":"US","type":"education","lineage":["https://openalex.org/I19700959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"SI Hariharan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, FLorida International University, Miami, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, FLorida International University, Miami, FL, USA","institution_ids":["https://openalex.org/I19700959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064035420","display_name":"Arjuna Madanayake","orcid":null},"institutions":[{"id":"https://openalex.org/I19700959","display_name":"Florida International University","ror":"https://ror.org/02gz6gg07","country_code":"US","type":"education","lineage":["https://openalex.org/I19700959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arjuna Madanayake","raw_affiliation_strings":["Department of Electrical and Computer Engineering, FLorida International University, Miami, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, FLorida International University, Miami, FL, USA","institution_ids":["https://openalex.org/I19700959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036548792","display_name":"Soumyajit Mandal","orcid":"https://orcid.org/0000-0001-9070-2337"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Soumyajit Mandal","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5040885774"],"corresponding_institution_ids":["https://openalex.org/I58956616"],"apc_list":null,"apc_paid":null,"fwci":0.3008,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.54739206,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10187","display_name":"Radio Frequency Integrated Circuit Design","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11444","display_name":"Electromagnetic Compatibility and Noise Suppression","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-difference-time-domain-method","display_name":"Finite-difference time-domain method","score":0.8238475918769836},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7373040914535522},{"id":"https://openalex.org/keywords/switched-capacitor","display_name":"Switched capacitor","score":0.6990431547164917},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.6137093901634216},{"id":"https://openalex.org/keywords/capacitor","display_name":"Capacitor","score":0.5115152597427368},{"id":"https://openalex.org/keywords/cmos","display_name":"CMOS","score":0.4882662296295166},{"id":"https://openalex.org/keywords/analogue-electronics","display_name":"Analogue electronics","score":0.47849029302597046},{"id":"https://openalex.org/keywords/clock-signal","display_name":"Clock signal","score":0.4544958174228668},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.453006386756897},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4412323534488678},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.43785402178764343},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3690969944000244},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27992478013038635},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.2551645338535309},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2459932565689087},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2061813473701477},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.14355817437171936},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11380580067634583},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.10282409191131592}],"concepts":[{"id":"https://openalex.org/C184880428","wikidata":"https://www.wikidata.org/wiki/Q1417308","display_name":"Finite-difference time-domain method","level":2,"score":0.8238475918769836},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7373040914535522},{"id":"https://openalex.org/C103357873","wikidata":"https://www.wikidata.org/wiki/Q572656","display_name":"Switched capacitor","level":4,"score":0.6990431547164917},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.6137093901634216},{"id":"https://openalex.org/C52192207","wikidata":"https://www.wikidata.org/wiki/Q5322","display_name":"Capacitor","level":3,"score":0.5115152597427368},{"id":"https://openalex.org/C46362747","wikidata":"https://www.wikidata.org/wiki/Q173431","display_name":"CMOS","level":2,"score":0.4882662296295166},{"id":"https://openalex.org/C29074008","wikidata":"https://www.wikidata.org/wiki/Q174925","display_name":"Analogue electronics","level":3,"score":0.47849029302597046},{"id":"https://openalex.org/C137059387","wikidata":"https://www.wikidata.org/wiki/Q426882","display_name":"Clock signal","level":3,"score":0.4544958174228668},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.453006386756897},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4412323534488678},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.43785402178764343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3690969944000244},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27992478013038635},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.2551645338535309},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2459932565689087},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2061813473701477},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14355817437171936},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11380580067634583},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.10282409191131592}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas51556.2021.9401465","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas51556.2021.9401465","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.6299999952316284,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1492856177","https://openalex.org/W1985864836","https://openalex.org/W1990792968","https://openalex.org/W2004623577","https://openalex.org/W2112611349","https://openalex.org/W2166307883","https://openalex.org/W2493470163","https://openalex.org/W2581335496","https://openalex.org/W2787350631","https://openalex.org/W2945583055","https://openalex.org/W2962200681","https://openalex.org/W3090975962","https://openalex.org/W3128641341","https://openalex.org/W4242608229","https://openalex.org/W7056595282"],"related_works":["https://openalex.org/W2044904198","https://openalex.org/W2119478278","https://openalex.org/W3150364945","https://openalex.org/W2982611369","https://openalex.org/W2066533488","https://openalex.org/W2029650198","https://openalex.org/W1985044448","https://openalex.org/W2094270368","https://openalex.org/W1981652693","https://openalex.org/W2119142269"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"a":[3,19,52,62,73],"circuit":[4],"theoretic":[5],"formulation":[6],"for":[7,18],"simulating":[8],"the":[9],"Schr\u00f6dinger":[10,25],"equation":[11,26],"using":[12,72],"classical":[13],"analog":[14],"circuits.":[15,47],"Update":[16],"equations":[17],"finite":[20],"difference":[21],"time":[22],"domain":[23],"(FDTD)":[24],"solver":[27,56],"with":[28,57],"absorbing":[29],"boundary":[30],"conditions":[31],"(ABCs)":[32],"are":[33],"used":[34],"to":[35,43],"derive":[36],"signal":[37],"flow":[38],"graphs":[39],"that":[40],"naturally":[41],"map":[42],"switched":[44],"capacitor":[45],"(SC)":[46],"A":[48],"prototype":[49],"implementation":[50],"of":[51,65],"fully-parallel":[53],"SC":[54],"FDTD":[55],"128":[58],"spatial":[59],"points":[60],"and":[61,70],"clock":[63],"frequency":[64],"2":[66],"MHz":[67],"is":[68],"analyzed":[69],"simulated":[71],"standard":[74],"180":[75],"nm":[76],"CMOS":[77],"process.":[78]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}