Lack of Numerical Examples in Relativity & Quantum Mechanics: Exploring Reasons

In summary, the conversation discusses the scarcity of concrete, numerical examples in textbooks on General Relativity, Quantum Mechanics, and Quantum Field Theory. The lack of examples may be due to the complexity and difficulty of solving equations involved, as well as the assumption that experienced students can work out their own examples. However, there are some textbooks, like "Gravity: An Introduction to Einstein's General Relativity" by Hartle, that do include numerical problems for practice.
  • #1
kent davidge
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It's rare to encounter concrete, numerical examples of what is being taught about Relativity, Quantum Mechanics.. On the other hand there's plenty of numerical examples in the undergraduate general physics textbooks, for instance problems of mechanics.

As for General Relativity I did find only a few, and that was on Weinberg's book: tests of General Relativity (deflection of light by sun, etc...)

Is there a reason for this?
 
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  • #2
I guess one possibility is that GR QFT and QM textbooks are intended to experienced students, and if they want a numerical example they are capable of working out their own from what is being taught on the book as opposed to undergrad textbooks where students are not so smart.

Other possibility is that complicated differential equations and non standard integrals are typically involved in GR QFT and QM and actually getting results is difficult and would require a lot of space?
 
  • #3
kent davidge said:
I guess one possibility is that GR QFT and QM textbooks are intended to experienced students, and if they want a numerical example they are capable of working out their own from what is being taught on the book as opposed to undergrad textbooks where students are not so smart.

"Gravity: An Introduction to Einstein's General Relativity" by Hartle has quite a few end-of-chapter problems, e.g., in the three pages that I have attached, there are at least 14 numerical problems.[/QUOTE]
 

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  • #5
Mechanics including thermo-, fluid- , elastic-, statistical- , and electromagnetism are gone into the phase of application. Relativity and QM are following them.
 
  • #6
You are contradicting yourself. If electromagnetism is applied then also relativity is applied since electromagnetism is the paradigmatic example of a relativistic field theory, and this was so even before even its discoverer, Maxwell and the rest of the physics community was aware of it ;-)). SCNR.
 

Related to Lack of Numerical Examples in Relativity & Quantum Mechanics: Exploring Reasons

1. Why are there a lack of numerical examples in relativity and quantum mechanics?

The lack of numerical examples in relativity and quantum mechanics is due to the complexity and abstract nature of these fields of study. These theories deal with the behavior of objects at extremely small or large scales, making it difficult to create tangible numerical examples.

2. How do scientists study and understand these theories without numerical examples?

Scientists use mathematical equations and models to represent and understand the principles of relativity and quantum mechanics. These equations are backed by experimental evidence and have been shown to accurately describe the behavior of particles and objects at the quantum and relativistic level.

3. Can numerical examples be created for these theories?

While it is challenging to create numerical examples for relativity and quantum mechanics, it is not impossible. Some simplified models and simulations have been developed to help visualize these concepts, but they are not always accurate representations of the complexities of these theories.

4. Why are numerical examples important in scientific studies?

Numerical examples are important in scientific studies as they provide concrete evidence and can help validate theories. They also aid in understanding complex concepts and can be used to make predictions and test hypotheses.

5. Are there any drawbacks to relying solely on numerical examples in these theories?

While numerical examples can be useful in understanding and visualizing scientific concepts, they should not be relied upon solely. These theories are based on mathematical principles and require a deep understanding of the underlying equations and concepts, rather than just numerical examples.

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