How were you exposed to probability theory in physics?

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SUMMARY

This discussion centers on the intersection of probability theory and physics education, particularly among graduate students and researchers. Participants share their experiences with probability exposure, noting that many were introduced to the subject during courses in quantum mechanics or statistical mechanics. A common theme is the lack of formal probability training, with many physicists learning probability concepts as needed for specific applications in their research. The conversation highlights the importance of integrating probability theory into physics curricula to better prepare students for research challenges.

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  • Understanding of measure-theoretic probability theory
  • Familiarity with quantum mechanics and statistical mechanics
  • Basic knowledge of Bayesian statistics
  • Experience with experimental uncertainty calculations
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  • Explore the integration of probability theory in physics education
  • Research the latest literature on Bayesian statistics
  • Investigate methods for teaching experimental uncertainties in physics
  • Study the application of probability in statistical mechanics
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Graduate students in physics and statistics, educators looking to enhance their curriculum, and researchers interested in the application of probability theory in physical sciences.

StatGuy2000
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Hi everyone.

As a graduate student in statistics, I had taken a graduate course in measure-theoretic probability theory. In a conversation with the professor, he had remarked that if I wanted to pursue further research on some of the topics covered, it may be wise to do background reading or auditing some physics courses.

Indeed, the more I've looked into this, the more I've found that researchers in probability theory often either have double majors in math and physics, or else have been exposed to physics as a math student.

This prompted to me ask those of you who are either physicists or are current physics students the following:

1. When were you first introduced to probability in your college/university curricula? Was it during your first course in quantum mechanics? Or in statistical mechanics? Or did you take probability as an elective?

2. I'm curious how many of you who are actively working on physics research keep up with the literature on probability theory. To what extent does it inform your research?
 
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Hopefully what I post won't derail the thread, but I wonder if it doesn't start earlier.

Where I am from my first contact with probability (in combination with combinatorics, things like calculation of probability of winning the lottery and drawing blue ball from a bag filled with only black and red ones :wink: ) was when I was about 17-18, which in US would put me somewhere in High School.
 
Either in a modern physics course wrt nuclear cross sections or in thermodynamic wrt to free paths in transport processes.. I don't remember which came first.
 
Probabilities might have been treated in the first semester lecture "Methods of theoretical physics", I don't remember it exactly. I think that the main introduction happened during short lectures which took place in advance of all lab courses. Afterwards, they popped up here and there in the excercises of various courses. In statistical mechanics, a few gaps were closed.
 
I was exposed to probability theory in high school and first year of college, before being exposed to quantum mechanics and statistical physics.
 
StatGuy2000 said:
Hi everyone.

1. When were you first introduced to probability in your college/university curricula? Was it during your first course in quantum mechanics? Or in statistical mechanics? Or did you take probability as an elective?

2. I'm curious how many of you who are actively working on physics research keep up with the literature on probability theory. To what extent does it inform your research?

I was never exposed to 'probability' as a specific topic, it was always added 'as needed' (how to calculate and report experimental uncertainties, or as broad background for statistical mechanics/quantum mechanics). I consider this to be a deficit in my training and try to get my students more exposure.

That said, I don't follow the probability literature, either. I try to regularly read the "Points of Significance" column in Nature Methods and am considering sitting in on a Bayesian statistics class.
 
Probability theory, statistics and hypothesis testing took up a significant portion of my final year of math in high school, i.e. well before learning any actual undergraduate level physics whatsoever.
 

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