Probability in Physics - Get Answers Here!

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Discussion Overview

The discussion centers around the role of probability in physics, encompassing both classical and quantum contexts. Participants explore how probability is applied in statistical mechanics, thermodynamics, and quantum theory, as well as its relevance to students studying physics and engineering.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses uncertainty about the necessity of studying probability in physics, indicating it is their weakest subject.
  • Another participant highlights the importance of probability in classical physics, particularly in deriving formulas in statistical mechanics and thermodynamics.
  • A participant explains that in quantum physics, probability is fundamental, noting that quantum states can be represented as linear combinations of independent states, with the squares of coefficients representing measurement probabilities.
  • Discussion includes the complexity of statistical mechanics, where the vast number of particles in a system makes it impractical to track individual particle behavior, leading to a focus on the probability of system states instead.
  • A later reply emphasizes the necessity of understanding statistics for those pursuing careers in engineering or physics.

Areas of Agreement / Disagreement

Participants generally agree on the significance of probability in both classical and quantum physics, though the initial poster's uncertainty about its necessity suggests some unresolved concerns regarding its application.

Contextual Notes

Limitations include the initial poster's lack of clarity on specific questions about probability, as well as the broad and complex nature of the topics discussed, which may depend on various definitions and interpretations of probability in different physical contexts.

Who May Find This Useful

This discussion may be useful for students of physics and engineering, particularly those seeking to understand the application of probability in their fields of study.

MadScientist 1000
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The other day, a question popped in my head about how we use probability in physics (not limited to classical), since it is my weakest subject, and since I will be applying my math knowledge to physics, I don't want to study anything that won't be necessary.

Thanks for any replies.
 
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What was your question?
 
In classical physics, probability can be used to derive useful formulae in statistical mechanics and thermodynamics.

In quantum physics, probability is central to the theory. Briefly, for each quantum observable there are infinitely many states i.e. E=1, 2, 3... , and a general quantum state can be written as a linear combination (series) of these independent state, the squares of the coefficients of which are the probability that a measurement would yield that result E=2, or something.
 
Statistical mechanics is the study of systems made up of large numbers of particles my means of probability theory.

For systems such as a gaz in an enclosure, the number of particle is of the order of 10^24. If you want to know how the system evolves in time, you must solve 3*10^24 coupled differential equations with 6*10^24 initial conditions (the initial positions and momenta of each particles). This is obviusly not feasible and even if it were, it would not be very interesting to know exactly how each particles will evolved in the gaz.

Instead, we talk about the probability of finding the system in a particular state.
 
You're going to need statistics, if your an engineer or a physicist.
 

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