<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0370-3908</journal-id>
<journal-title><![CDATA[Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. acad. colomb. cienc. exact. fis. nat.]]></abbrev-journal-title>
<issn>0370-3908</issn>
<publisher>
<publisher-name><![CDATA[Academia Colombiana de Ciencias Exactas, Físicas y Naturales]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0370-39082019000200177</article-id>
<article-id pub-id-type="doi">10.18257/raccefyn.807</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Geometric model for interference and diffraction with waves and particles]]></article-title>
<article-title xml:lang="es"><![CDATA[Modelo geométrico para interferencia y difracción con ondas y partículas]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Castañeda]]></surname>
<given-names><![CDATA[Román]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Matteucci]]></surname>
<given-names><![CDATA[Giorgio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional de Colombia  ]]></institution>
<addr-line><![CDATA[Medellín ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,University of Bologna  ]]></institution>
<addr-line><![CDATA[Bologna ]]></addr-line>
<country>Italy</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<volume>43</volume>
<numero>167</numero>
<fpage>177</fpage>
<lpage>192</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0370-39082019000200177&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0370-39082019000200177&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0370-39082019000200177&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Interference and diffraction with classical waves and quantum particles is discussed in the framework of a geometric model based on its own physical principle and general law. The principle is the interaction between individual real point emitters, that characterize the waves and particles, and the virtual point emitters, that characterize the setup. The law is an energy equation that involves the energy of the wave disturbance or the particle arriving to any detector point and the potential energy determined by the setup. In this framework, the setup is configured in a preparation-measurement scheme with two accessible states named the source-turned-off and the source-turned-on states. Two-point correlation cones are prepared which induce geometric potential cones, that distribute the energy of the waves or particles to be measured, once the interaction between the point emitters takes place. Wave-particle duality, self-interference and wave collapse are irrelevant in the framework of this model. © 2019. Acad. Colomb. Cienc. Ex. Fis. Nat.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Se analiza la interferencia y la difracción, tanto de ondas clásicas como de partículas cuánticas, en el marco de un modelo geométrico basado en su propio principio y ley general. El principio es la interacción entre emisores puntuales reales individuales, que caracterizan a las ondas y las partículas, y emisores puntuales virtuales que caracterizan al arreglo experimental. La ley es una ecuación de energías que involucra a la perturbación ondulatoria o la partícula incidentes sobre un punto dado del detector y la energía potencial aportada por el arreglo. En esta teoría, el arreglo se configura en un esquema de preparación-medición con dos estados accesibles, denominados estado de fuente-apagada y estado de fuente-encendida. Así, se preparan conos de correlación espacial que inducen conos de potencial geométrico sobre los que se distribuye la energía a ser medida, luego que la interacción entre emisores puntuales se ha realizado. Las nociones de dualidad onda-partícula, auto-interferencia y colapso de la función de onda son irrelevantes en este modelo. © 2019. Acad. Colomb. Cienc. Ex. Fis. Nat.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Interference]]></kwd>
<kwd lng="en"><![CDATA[Diffraction]]></kwd>
<kwd lng="en"><![CDATA[Geometric potential]]></kwd>
<kwd lng="en"><![CDATA[Point emitters]]></kwd>
<kwd lng="es"><![CDATA[Interferencia]]></kwd>
<kwd lng="es"><![CDATA[Difracción]]></kwd>
<kwd lng="es"><![CDATA[Potencial geométrico]]></kwd>
<kwd lng="es"><![CDATA[Emisores puntuales]]></kwd>
</kwd-group>
</article-meta>
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