{"id":49,"date":"2018-01-14T20:49:27","date_gmt":"2018-01-14T20:49:27","guid":{"rendered":"http:\/\/134.169.6.169\/milq\/?page_id=49"},"modified":"2026-04-10T09:28:14","modified_gmt":"2026-04-10T07:28:14","slug":"8-schrodinger-gleichung","status":"publish","type":"page","link":"https:\/\/www.milq.info\/en\/mehr\/8-schrodinger-gleichung\/","title":{"rendered":"Lesson 8: Schr\u00f6dinger equation"},"content":{"rendered":"
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How to arrive at the Schr\u00f6dinger equation<\/h2>\n

8.1 Mathematical description of quantum objects<\/a>\u00a0–\u00a08.2 Preparation of electrons for a specific momentum and kinetic energy<\/a>
\n8.3 The wave function of a free electron<\/a>\u00a0–\u00a08.4 Operators for physical quantities<\/a>\u00a0–\u00a08.5 The kinetic energy operator<\/a> \u00a0–\u00a08.6 The eigenvalue equation<\/a>
\n8.7 The total energy operator<\/a>\u00a0–\u00a08.8 The fundamental equation of quantum mechanics<\/a>\u00a0–\u00a08.9 Finding stationary states with the Schr\u00f6dinger equation<\/a>
\n8.10 Progress check<\/a>\u00a0–\u00a08.11 Summary<\/a><\/p>\n

In this chapter, we move from the qualitative to the quantitative consideration of quantum objects. We expand the description of quantum objects by wave functions and introduce operators and eigenvalue equations. We thus come to the eigenvalue equation of the total energy, the Schr\u00f6dinger equation.
\nIf you have not already done so, please now download Chapter 8 of the teaching materials as a pdf file.<\/a><\/p>\n

8.1 Mathematical description of quantum objects<\/h3>\n

The general objectives of physics can be roughly subdivided into two categories:<\/p>\n