https://scholarlywiki.org/index.php?action=history&feed=atom&title=Physics%3AQuantum_methods%2Fquantization 2026-05-14T01:05:10Z Revision history for this page on the wiki MediaWiki 1.43.1 https://scholarlywiki.org/index.php?title=Physics:Quantum_methods/quantization&diff=926&oldid=prev 2026-05-08T18:23:11Z

<p>Replace raw Quantum Collection backlink with BT backlink template</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="en"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:23, 8 May 2026</td> </tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

imported>WikiHarold https://scholarlywiki.org/index.php?title=Physics:Quantum_methods/quantization&diff=435&oldid=prev 2026-05-08T18:23:11Z

<p>Replace raw Quantum Collection backlink with BT backlink template</p> <p><b>New page</b></p><div>{{Short description|Procedure of constructing a quantum theory from a classical system}}<br /> <br /> {{Quantum methods backlink|Field and many-body methods}}<br /> <br /> &#039;&#039;&#039;Quantization&#039;&#039;&#039; is the procedure of constructing a [[quantum mechanics|quantum theory]] from a corresponding [[classical mechanics|classical system]]. It provides the bridge between classical descriptions of physical systems and their quantum counterparts.<br /> <br /> &lt;div style=&quot;float:right; border:1px solid #ccc; padding:4px; background:#fff8dc; margin:0 0 1em 1em; width:420px;&quot;&gt;<br /> [[File:Quantum_field_theory_basics1.jpg]]<br /> &lt;div style=&quot;font-size:90%;&quot;&gt;Overview of key concepts in quantum field theory&lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> == Overview ==<br /> In classical physics, physical quantities such as position and momentum are represented by numbers. In quantum theory, they are represented by [[operator]]s acting on a [[Hilbert space]].<br /> <br /> The fundamental rule of canonical quantization replaces classical [[Poisson bracket]]s with commutators:<br /> &lt;math&gt;[x, p] = i\hbar&lt;/math&gt;<br /> <br /> == Types of quantization ==<br /> * &#039;&#039;&#039;Canonical quantization&#039;&#039;&#039; – promotes classical variables to operators <br /> * &#039;&#039;&#039;Path integral quantization&#039;&#039;&#039; – sums over all possible histories <br /> * &#039;&#039;&#039;Second quantization&#039;&#039;&#039; – describes systems with variable particle number <br /> <br /> == Applications ==<br /> Quantization underlies [[quantum field theory]], [[many-body theory]], and modern particle physics.<br /> <br /> =See also=<br /> {{#invoke:PhysicsQC|tocHeadingAndList|Physics:Quantum basics/See also}}<br /> <br /> == References ==<br /> {{reflist|3}}<br /> <br /> {{Author|Harold Foppele}}<br /> {{Sourceattribution|Physics:Quantum Quantization|1}}</div>

imported>WikiHarold