<?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>S0035-001X2017000500461</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[The initial value problem method for time-dependent harmonic oscillator]]></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  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Thailand</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>10</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>10</month>
<year>2017</year>
</pub-date>
<volume>63</volume>
<numero>5</numero>
<fpage>461</fpage>
<lpage>465</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2017000500461&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2017000500461&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2017000500461&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The initial value problem method is formulated to calculate the propagator for time- dependent harmonic oscillators. The method is based on finding the initial position operator from Heisenberg equations. The investigated models in this paper are the damped harmonic oscillator, the harmonic oscillator with strongly pulsating mass, and the harmonic oscillator with mass growing with time. The comparison of the initial value problem method with Feynman path integral and Schwinger method is also described.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[The initial value problem method]]></kwd>
<kwd lng="en"><![CDATA[propagator]]></kwd>
<kwd lng="en"><![CDATA[time-dependent harmonic oscillators]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Khandekar]]></surname>
<given-names><![CDATA[D.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Lawande]]></surname>
<given-names><![CDATA[S.V.]]></given-names>
</name>
<name>
<surname><![CDATA[Bhagwat]]></surname>
<given-names><![CDATA[K.V.]]></given-names>
</name>
</person-group>
<source><![CDATA[Path Integral Method and Their Applications]]></source>
<year>1993</year>
<publisher-loc><![CDATA[Singapore ]]></publisher-loc>
<publisher-name><![CDATA[Woorld Scientific]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Feynman]]></surname>
<given-names><![CDATA[R.P.]]></given-names>
</name>
<name>
<surname><![CDATA[Hibbs]]></surname>
<given-names><![CDATA[A.R]]></given-names>
</name>
</person-group>
<source><![CDATA[Quantum Mechanics and Path Integral]]></source>
<year>1965</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[McGraw-Hill]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pepore]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Sukbot]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Chinese. J. Phys.]]></source>
<year>2009</year>
<volume>47</volume>
<page-range>753</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pepore]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Sukbot]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Chinese. J. Phys.]]></source>
<year>2015</year>
<volume>53</volume>
</nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pepore]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Sukbot]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Chinese. J. Phys.]]></source>
<year>2015</year>
<volume>53</volume>
</nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pepore]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Sukbot]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Chinese. J. Phys.]]></source>
<year>2015</year>
<volume>53</volume>
</nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pepore]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Winotai]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Osotchan]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Robkob]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
</person-group>
<source><![CDATA[Science Asia.]]></source>
<year>2006</year>
<volume>32</volume>
<page-range>173</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Caldirola]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Nuovo Cim.]]></source>
<year>1941</year>
<volume>18</volume>
<page-range>393</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kanai]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Prog. Theor. Phys.]]></source>
<year>1948</year>
<volume>3</volume>
<page-range>440</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Colegrave]]></surname>
<given-names><![CDATA[R.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Abdalla]]></surname>
<given-names><![CDATA[M.S.]]></given-names>
</name>
</person-group>
<source><![CDATA[J. Phys. A.]]></source>
<year>1982</year>
<volume>19</volume>
<page-range>1549</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sabir]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Rajagopalan]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<source><![CDATA[J. Phys. A.]]></source>
<year>1991</year>
<volume>37</volume>
<page-range>253</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
