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<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
<testing>
<xsil_file name="hermitegauss_fourier_1.xsil" expected="hermitegauss_fourier_1_expected.xsil" absolute_tolerance="1e-8" relative_tolerance="1e-5" />
<xsil_file name="hermitegauss_fourier_2.xsil" expected="hermitegauss_fourier_2_expected.xsil" absolute_tolerance="1e-8" relative_tolerance="1e-5" />
<xsil_file name="hermitegauss_fourier_3.xsil" expected="hermitegauss_fourier_3_expected.xsil" absolute_tolerance="1e-11" relative_tolerance="1e-5" />
<xsil_file name="hermitegauss_fourier_4.xsil" expected="hermitegauss_fourier_1_expected.xsil" absolute_tolerance="1e-8" relative_tolerance="1e-5" />
</testing>
<name>hermitegauss_fourier</name>
<author>Graham Dennis</author>
<description>
Transform between the various Hermite-Gauss bases (position, spectral, momentum)
</description>
<features>
<validation kind="run-time" />
<globals>
<![CDATA[
const real M = 9.1e-31; // Mass of an electron
const real hbar = 1.05e-34;
const real omega = 2*M_PI*1e3;
const real offset = 1.0 * sqrt(hbar/(M*omega));
]]>
</globals>
</features>
<geometry>
<propagation_dimension> t </propagation_dimension>
<transverse_dimensions>
<dimension name="x" lattice="80" spectral_lattice="50" length_scale="sqrt(hbar/(M*omega))" transform="hermite-gauss" />
</transverse_dimensions>
</geometry>
<vector name="main" initial_basis="x" type="complex">
<components>
psi
</components>
<initialisation>
<![CDATA[
// initial state is the groundstate in the x axis, but shifted by offset and expanded
psi = pow(M*omega/(hbar*M_PI), 0.25) * exp(-0.25*(M*omega/hbar)*(x - offset)*(x - offset));
]]>
</initialisation>
</vector>
<sequence>
<breakpoint filename="hermitegauss_fourier_1.xsil" format="hdf5">
<dependencies basis="x">main</dependencies>
</breakpoint>
<breakpoint filename="hermitegauss_fourier_2.xsil" format="hdf5">
<dependencies basis="nx">main</dependencies>
</breakpoint>
<breakpoint filename="hermitegauss_fourier_3.xsil" format="hdf5">
<dependencies basis="kx">main</dependencies>
</breakpoint>
<breakpoint filename="hermitegauss_fourier_4.xsil" format="hdf5">
<dependencies basis="x">main</dependencies>
</breakpoint>
</sequence>
<output />
</simulation>
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