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Mekanika matriks - Riwayat revisi
2026-09-16T21:59:23Z
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Maintenance script: Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi
2026-08-25T04:09:40Z
<p>Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisi sebelumnya</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisi per 25 Agustus 2026 04.09</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Baris 1:</td>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Mekanika matriks''' adalah formulasi [[mekanika kuantum]] yang dibuat oleh [[Werner Heisenberg]], [[Max Born]], dan [[Pascual Jordan]] pada tahun 1925.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''Mekanika matriks''' adalah formulasi [[mekanika kuantum]] yang dibuat oleh [[Werner Heisenberg]], [[Max Born]], dan [[Pascual Jordan]] pada tahun 1925.<ins style="font-weight: bold; text-decoration: none;"><ref>W. Heisenberg, "Der Teil und das Ganze", Piper, Munich, (1969) [http://www.vub.ac.be/CLEA/IQSA/history.html The Birth of Quantum Mechanics] .</ref></ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Mekanika matriks adalah formulasi mekanika kuantum yang pertama secara konseptual otonom dan konsisten secara logis. Akunnya tentang [[Transisi elektron atom|lompatan kuantum]] menggantikan orbit elektron [[model Bohr]]. Mekanika matriks melakukannya dengan menafsirkan sifat fisik partikel sebagai [[Matriks (matematika)|matriks]] yang berevolusi dalam waktu. Mekanika matriks setara dengan [[Persamaan Schrödinger|formulasi gelombang Schrödinger]] dari mekanika kuantum, seperti yang terlihat dalam [[notasi bra-ket]] ciptaan [[Paul A.M. Dirac]].</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Mekanika matriks adalah formulasi mekanika kuantum yang pertama secara konseptual otonom dan konsisten secara logis. Akunnya tentang [[Transisi elektron atom|lompatan kuantum]] menggantikan orbit elektron [[model Bohr]]. Mekanika matriks melakukannya dengan menafsirkan sifat fisik partikel sebagai [[Matriks (matematika)|matriks]] yang berevolusi dalam waktu. Mekanika matriks setara dengan [[Persamaan Schrödinger|formulasi gelombang Schrödinger]] dari mekanika kuantum, seperti yang terlihat dalam [[notasi bra-ket]] ciptaan [[Paul A.M. Dirac]].<ins style="font-weight: bold; text-decoration: none;"><ref>Herbert S. Green </ins>(<ins style="font-weight: bold; text-decoration: none;">1965</ins>). <ins style="font-weight: bold; text-decoration: none;">''Matrix mechanics'' (P. Noordhoff Ltd</ins>, <ins style="font-weight: bold; text-decoration: none;">Groningen</ins>, <ins style="font-weight: bold; text-decoration: none;">Netherlands) ASIN : B0006BMIP8</ins>.<ins style="font-weight: bold; text-decoration: none;"></ref></ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Berbeda dengan formulasi gelombang, ia menghasilkan spektra dari operator </del>(<del style="font-weight: bold; text-decoration: none;">kebanyakan energi</del>) <del style="font-weight: bold; text-decoration: none;">dengan metode [[aljabar]] murni, [[operator tangga]]</del>. <del style="font-weight: bold; text-decoration: none;">Mengandalkan metode ini</del>, <del style="font-weight: bold; text-decoration: none;">Pauli memperoleh [[spektrum]] [[atom]] [[hidrogen]] pada tahun 1926</del>, <del style="font-weight: bold; text-decoration: none;">sebelum pengembangan mekanika gelombang</del>.</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">== Referensi ==</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Berbeda dengan formulasi gelombang, ia menghasilkan spektra dari operator (kebanyakan energi) dengan metode [[aljabar]] murni, [[operator tangga]]. Mengandalkan metode ini, Pauli memperoleh [[spektrum]] [[atom]] [[hidrogen]] pada tahun 1926, sebelum pengembangan mekanika gelombang.<ref>W Pauli. ''Über das Wasserstoffspektrum vom Standpunkt der neuen Quantenmechanik''. ''Zeitschrift für Physik''. 1926. Vol. 36 (5). hlm. 336–363. doi:10.1007/BF01450175.</ref></ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Pranala luar ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Pranala luar ==</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cobalt.chem.ucalgary.ca/ziegler/educmat/chm386/rudiment/tourquan/matmech.htm An Overview of Matrix Mechanics] </div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cobalt.chem.ucalgary.ca/ziegler/educmat/chm386/rudiment/tourquan/matmech.htm An Overview of Matrix Mechanics]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cobalt.chem.ucalgary.ca/ziegler/educmat/chm386/rudiment/quanmath/matrix.htm Matrix Methods in Quantum Mechanics] </div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cobalt.chem.ucalgary.ca/ziegler/educmat/chm386/rudiment/quanmath/matrix.htm Matrix Methods in Quantum Mechanics]</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.aip.org/history/heisenberg/p08.htm Heisenberg Quantum Mechanics] (The theory's origins and its historical developing 1925-27)</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.aip.org/history/heisenberg/p08.htm Heisenberg Quantum Mechanics] (The theory's origins and its historical developing 1925-27)</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.fdavidpeat.com/interviews/heisenberg.htm Werner Heisenberg 1970 CBC radio Interview]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.fdavidpeat.com/interviews/heisenberg.htm Werner Heisenberg 1970 CBC radio Interview]</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.vigyanprasar.gov.in/scientists/WKHeisenberg.htm Werner Karl Heisenberg Co-founder of Quantum Mechanics]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.vigyanprasar.gov.in/scientists/WKHeisenberg.htm Werner Karl Heisenberg Co-founder of Quantum Mechanics] </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.mathpages.com/home/kmath698/kmath698.htm On Matrix Mechanics] at MathPages</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.mathpages.com/home/kmath698/kmath698.htm On Matrix Mechanics] at MathPages</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[arxiv:quant-ph/0404009|Ian J. R. Aitchison, David A. MacManus, Thomas M. Snyder. Understanding Heisenberg's `magical' paper of July 1925: a new look at the calculational details]], ''American Journal of Physics'', '''72''' (11) 1370–1379 (2004). .</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[arxiv:quant-ph/0404009|Ian J. R. Aitchison, David A. MacManus, Thomas M. Snyder. Understanding Heisenberg's `magical' paper of July 1925: a new look at the calculational details]], ''American Journal of Physics'', '''72''' (11) 1370–1379 (2004). .</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">== Referensi ==</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><references /></ins></div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Sumber dan atribusi ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Sumber dan atribusi ==</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Mekanika+matriks&oldid=29524988 Wikipedia bahasa Indonesia], revisi 29524988 (2026-08-04T15:00:01Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Mekanika+matriks&oldid=29524988 Wikipedia bahasa Indonesia], revisi 29524988 (2026-08-04T15:00:01Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div></td></tr>
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Maintenance script
https://wiki.unissula.ac.id/index.php?title=Mekanika_matriks&diff=8816&oldid=prev
Maintenance script: Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 29524988; atribusi sumber disertakan.
2026-08-25T03:45:09Z
<p>Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 29524988; atribusi sumber disertakan.</p>
<p><b>Halaman baru</b></p><div>'''Mekanika matriks''' adalah formulasi [[mekanika kuantum]] yang dibuat oleh [[Werner Heisenberg]], [[Max Born]], dan [[Pascual Jordan]] pada tahun 1925.<br />
<br />
Mekanika matriks adalah formulasi mekanika kuantum yang pertama secara konseptual otonom dan konsisten secara logis. Akunnya tentang [[Transisi elektron atom|lompatan kuantum]] menggantikan orbit elektron [[model Bohr]]. Mekanika matriks melakukannya dengan menafsirkan sifat fisik partikel sebagai [[Matriks (matematika)|matriks]] yang berevolusi dalam waktu. Mekanika matriks setara dengan [[Persamaan Schrödinger|formulasi gelombang Schrödinger]] dari mekanika kuantum, seperti yang terlihat dalam [[notasi bra-ket]] ciptaan [[Paul A.M. Dirac]].<br />
<br />
Berbeda dengan formulasi gelombang, ia menghasilkan spektra dari operator (kebanyakan energi) dengan metode [[aljabar]] murni, [[operator tangga]]. Mengandalkan metode ini, Pauli memperoleh [[spektrum]] [[atom]] [[hidrogen]] pada tahun 1926, sebelum pengembangan mekanika gelombang.<br />
<br />
== Referensi ==<br />
<br />
<br />
== Pranala luar ==<br />
<br />
* [http://www.cobalt.chem.ucalgary.ca/ziegler/educmat/chm386/rudiment/tourquan/matmech.htm An Overview of Matrix Mechanics]<br />
* [http://www.cobalt.chem.ucalgary.ca/ziegler/educmat/chm386/rudiment/quanmath/matrix.htm Matrix Methods in Quantum Mechanics]<br />
* [http://www.aip.org/history/heisenberg/p08.htm Heisenberg Quantum Mechanics] (The theory's origins and its historical developing 1925-27)<br />
* [http://www.fdavidpeat.com/interviews/heisenberg.htm Werner Heisenberg 1970 CBC radio Interview]<br />
* [http://www.vigyanprasar.gov.in/scientists/WKHeisenberg.htm Werner Karl Heisenberg Co-founder of Quantum Mechanics]<br />
* [http://www.mathpages.com/home/kmath698/kmath698.htm On Matrix Mechanics] at MathPages<br />
* [[arxiv:quant-ph/0404009|Ian J. R. Aitchison, David A. MacManus, Thomas M. Snyder. Understanding Heisenberg's `magical' paper of July 1925: a new look at the calculational details]], ''American Journal of Physics'', '''72''' (11) 1370–1379 (2004). .<br />
<br />
<br />
<br />
== Sumber dan atribusi ==<br />
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Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Mekanika+matriks&oldid=29524988 Wikipedia bahasa Indonesia], revisi 29524988 (2026-08-04T15:00:01Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div>
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