<?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>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2018000100030</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Integrals of the motion and Green functions for time-dependent mass harmonic oscillators]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pepore]]></surname>
<given-names><![CDATA[Surarit]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Rajamangala University of Technology Thanyaburi Faculty of Science and Technology ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Thailand</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>02</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>02</month>
<year>2018</year>
</pub-date>
<volume>64</volume>
<numero>1</numero>
<fpage>30</fpage>
<lpage>35</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2018000100030&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2018000100030&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2018000100030&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The application of the integrals of the motion of a quantum system in deriving Green function or propagator is established. The Green function is shown to be the eigenfunction of the integrals of the motion which described initial points of the system trajectory in the phase space. The explicit expressions for the Green functions of the damped harmonic oscillator, the harmonic oscillator with strongly pulsating mass, and the harmonic oscillator with mass growing with time are obtained in co-ordinate representations. The connection between the integrals of the motion method and other method such as Feynman path integral and Schwinger method are also discussed.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Integrals of the motion]]></kwd>
<kwd lng="en"><![CDATA[Green function]]></kwd>
<kwd lng="en"><![CDATA[Time-dependent mass harmonic oscillators]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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