Modern Physics for Engineers Lecture slides 04c – Hermitian operators and sets of functions
Year: 2025
Type: article
Abstract: This lecture part starts by introducing key ideas for working with complex matrices, especially the ideas of Hermitian adjoints and Hermitian matrices or, more generally, Hermitian operators. Such Hermitian operators are very useful for describing many physical systems, such as simple oscillators, and also later quantum mechanical systems. Among other properties, their eigenfunctions are orthogonal, and can represent, for example, the modes of many oscillating systems. Such eigenfunctions also generate mathematically complete and orthogonal basis sets for describing their corresponding physical systems - a very powerful property.
Source: Stanford Digital Repository
DOI: 10.25740/sn311ft9797
Author: Miller, David
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6964492235
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