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2 changes: 1 addition & 1 deletion dev/.documenter-siteinfo.json
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{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2023-12-14T23:52:04","documenter_version":"1.2.1"}}
{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-01-04T08:00:41","documenter_version":"1.2.1"}}
4 changes: 2 additions & 2 deletions dev/HarmonicOscillator/index.html
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H_{8}(x) &= 1680 - 13440 x^{2} + 13440 x^{4} - 3584 x^{6} + 256 x^{8}, \\
H_{9}(x) &= 30240 x - 80640 x^{3} + 48384 x^{5} - 9216 x^{7} + 512 x^{9}, \\
&\vdots
\end{aligned}\]</p><h4 id="Reference"><a class="docs-heading-anchor" href="#Reference">Reference</a><a id="Reference-1"></a><a class="docs-heading-anchor-permalink" href="#Reference" title="Permalink"></a></h4><ul><li><a href="https://dlmf.nist.gov/18.5#E18">DLMF 18.5.18</a></li><li><a href="https://cpprefjp.github.io/reference/cmath/hermite.html">cpprefjp</a></li><li>The Digital Library of Mathematical Functions (DLMF) <a href="https://dlmf.nist.gov/18.3#T1">18.3 Table1</a>, <a href="https://dlmf.nist.gov/18.5#T1">18.5 Table1</a>, <a href="https://dlmf.nist.gov/18.5#E13">18.5.13</a>, <a href="https://dlmf.nist.gov/18.5#E18">18.5.18</a></li><li>L. D. Landau, E. M. Lifshitz, Quantum Mechanics (Pergamon Press, 1965) <a href="https://archive.org/details/ost-physics-landaulifshitz-quantummechanics/page/n607/mode/2up">p.595 (a.4), (a.6)</a></li><li>L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, 1968) <a href="https://archive.org/details/ost-physics-schiff-quantummechanics/page/n87/mode/2up">p.71 (13.12)</a></li><li>A. Messiah, Quanfum Mechanics (Dover Publications, 1999) <a href="https://archive.org/details/quantummechanics0000mess/page/491/mode/1up">p.491 (B.59)</a></li><li>W. Greiner, Quantum Mechanics: An Introduction Third Edition (Springer, 1994) <a href="https://archive.org/details/quantummechanics0001grei_u4x0/page/152/mode/1up">p.152 (7.22)</a></li><li>D. J. Griffiths, Introduction to Quantum Mechanics (Prentice Hall, 1995) <a href="https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/41/mode/1up">p.41 Table 2.1</a>, <a href="https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/43/mode/1up">p.43 (2.70)</a></li><li>D. A. McQuarrie, J. D. Simon, Physical Chemistry: A Molecular Approach (University Science Books, 1997) <a href="https://archive.org/details/McQuarrieSimonPhysicalChemistrySolutions/McQuarrie_Simon_Physical_Chemistry1997/page/n193/mode/1up">p.170 Table 5.2</a></li><li>P. W. Atkins, J. De Paula, Atkins&#39; Physical Chemistry, 8th edition (W. H. Freeman, 2008) <a href="https://archive.org/details/atkinsphysicalch00pwat/page/292/mode/2up">p.293 Table 9.1</a></li><li>J. J. Sakurai, J. Napolitano, Modern Quantum Mechanics Third Edition (Cambridge University Press, 2021) <a href="https://doi.org/10.1017/9781108587280">p.524 (B.29)</a></li></ul><h2 id="Usage-and-Examples"><a class="docs-heading-anchor" href="#Usage-and-Examples">Usage &amp; Examples</a><a id="Usage-and-Examples-1"></a><a class="docs-heading-anchor-permalink" href="#Usage-and-Examples" title="Permalink"></a></h2><p><a href="../#Install">Install Antique.jl</a> for the first run and run <code>using Antique</code> before each use. The function <code>antique(model, parameters...)</code> returns a module that has <code>E()</code>, <code>ψ(x)</code>, <code>V(x)</code> and some other functions. In this system, the model name is specified by <code>:HarmonicOscillator</code> and several parameters <code>k</code>, <code>m</code> and <code>ℏ</code> are set as optional arguments.</p><pre><code class="language-julia hljs">using Antique
\end{aligned}\]</p><h4 id="Reference"><a class="docs-heading-anchor" href="#Reference">Reference</a><a id="Reference-1"></a><a class="docs-heading-anchor-permalink" href="#Reference" title="Permalink"></a></h4><ul><li><a href="https://dlmf.nist.gov/18.5#E18">DLMF 18.5.18</a></li><li><a href="https://cpprefjp.github.io/reference/cmath/hermite.html">cpprefjp</a></li><li>The Digital Library of Mathematical Functions (DLMF) <a href="https://dlmf.nist.gov/18.3#T1">18.3 Table1</a>, <a href="https://dlmf.nist.gov/18.5#T1">18.5 Table1</a>, <a href="https://dlmf.nist.gov/18.5#E13">18.5.13</a>, <a href="https://dlmf.nist.gov/18.5#E18">18.5.18</a></li><li>L. D. Landau, E. M. Lifshitz, Quantum Mechanics (Pergamon Press, 1965) <a href="https://archive.org/details/ost-physics-landaulifshitz-quantummechanics/page/n607/mode/2up">p.595 (a.4), (a.6)</a></li><li>L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, 1968) <a href="https://archive.org/details/ost-physics-schiff-quantummechanics/page/n87/mode/2up">p.71 (13.12)</a></li><li>A. Messiah, Quanfum Mechanics (Dover Publications, 1999) <a href="https://archive.org/details/quantummechanics0000mess/page/491/mode/1up">p.491 (B.59)</a></li><li>W. Greiner, Quantum Mechanics: An Introduction Third Edition (Springer, 1994) <a href="https://archive.org/details/quantummechanics0001grei_u4x0/page/152/mode/1up">p.152 (7.22)</a></li><li>D. J. Griffiths, Introduction to Quantum Mechanics (Prentice Hall, 1995) <a href="https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/41/mode/1up">p.41 Table 2.1</a>, <a href="https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/43/mode/1up">p.43 (2.70)</a></li><li>D. A. McQuarrie, J. D. Simon, Physical Chemistry: A Molecular Approach (University Science Books, 1997) <a href="https://archive.org/details/McQuarrieSimonPhysicalChemistrySolutions/McQuarrie_Simon_Physical_Chemistry1997/page/n193/mode/1up">p.170 Table 5.2</a></li><li>P. W. Atkins, J. De Paula, Atkins&#39; Physical Chemistry, 8th edition (W. H. Freeman, 2008) <a href="https://archive.org/details/atkinsphysicalch00pwat/page/292/mode/2up">p.293 Table 9.1</a></li><li>J. J. Sakurai, J. Napolitano, Modern Quantum Mechanics Third Edition (Cambridge University Press, 2021) <a href="https://doi.org/10.1017/9781108587280">p.524 (B.29)</a></li></ul><h2 id="Usage-and-Examples"><a class="docs-heading-anchor" href="#Usage-and-Examples">Usage &amp; Examples</a><a id="Usage-and-Examples-1"></a><a class="docs-heading-anchor-permalink" href="#Usage-and-Examples" title="Permalink"></a></h2><p><a href="../#Install">Install Antique.jl</a> for the first use and run <code>using Antique</code> before each use. The function <code>antique(model, parameters...)</code> returns a module that has <code>E()</code>, <code>ψ(x)</code>, <code>V(x)</code> and some other functions. In this system, the model name is specified by <code>:HarmonicOscillator</code> and several parameters <code>k</code>, <code>m</code> and <code>ℏ</code> are set as optional arguments.</p><pre><code class="language-julia hljs">using Antique
HO = antique(:HarmonicOscillator, k=1.0, m=1.0, ℏ=1.0)</code></pre><p>Parameters:</p><pre><code class="language-julia hljs">julia&gt; HO.k
1.0

Expand Down Expand Up @@ -443,4 +443,4 @@
5.0 | 9 | 21.242645786248 | 21.242617504750 ✔
Test Summary: | Pass Total
∫ψₙ*Hψₙdx = &lt;ψₙ|H|ψₙ&gt; = Eₙ | 40 40
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