Discussion Overview
The discussion centers around the rarity of numerical examples in the teaching of Relativity and Quantum Mechanics compared to undergraduate physics topics like mechanics. Participants explore potential reasons for this phenomenon, including the complexity of the subjects and the intended audience of the textbooks.
Discussion Character
- Exploratory
- Debate/contested
Main Points Raised
- One participant notes that numerical examples are more common in undergraduate physics textbooks, while they are scarce in texts on General Relativity (GR) and Quantum Mechanics (QM).
- Another participant suggests that GR, Quantum Field Theory (QFT), and QM textbooks are aimed at experienced students who may not require numerical examples, as they can derive them from the material presented.
- It is proposed that the complexity of the differential equations and integrals involved in GR, QFT, and QM makes it challenging to include numerical examples in textbooks.
- A participant mentions that Hartle's book "Gravity: An Introduction to Einstein's General Relativity" contains numerous end-of-chapter numerical problems, indicating that some resources do provide such examples.
- One participant argues that if electromagnetism is considered applied, then relativity should also be viewed as applied, as it serves as a foundational example of a relativistic field theory.
Areas of Agreement / Disagreement
Participants express differing views on the reasons for the scarcity of numerical examples, with some suggesting it relates to the complexity of the subjects and others challenging the notion that relativity is not applied in the same way as electromagnetism. The discussion remains unresolved with multiple competing perspectives.
Contextual Notes
Participants highlight the complexity of the mathematical frameworks in GR and QM, which may limit the inclusion of numerical examples. There is also a suggestion that the intended audience of the textbooks influences the presence of such examples.