High School How does Partcle Symmetry affect the way a Particle Behaves?

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    Particle Symmetry
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Particle symmetry significantly influences their behavior and interactions, particularly in the context of symmetric versus antisymmetric wavefunctions, which differentiate bosons from fermions. Symmetry relates to conservation laws that govern physical equations, such as energy conservation linked to time translation invariance. The discussion highlights the complexity of these concepts, referencing Noether's theorem as a fundamental principle in modern physics that connects symmetries to conservation laws. Understanding these principles requires substantial study, as they reveal profound insights into the nature of particles and their interactions. The conversation underscores the depth of this topic, which continues to astonish even seasoned physicists.
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How does a particles symmetry effect the way it behaves? Do particles with similar symmetry interact with each other in a special way than 2 particles with different symmetries?
 
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ChrisisC said:
How does a particles symmetry effect the way it behaves? Do particles with similar symmetry interact with each other in a special way than 2 particles with different symmetries?
What do you mean by symmetry? Do you mean symmetric vs. antisymmetric wavefunctions, i.e. bosons vs. fermions?
 
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DennisN said:
What do you mean by symmetry? Do you mean symmetric vs. antisymmetric wavefunctions, i.e. bosons vs. fermions?

well actually i read it in a book, the symbols used to represent symmetry were S with a subscript of 2 or 3 (i don't know how to do a subscript on iphone).
 
ChrisisC said:
well actually i read it in a book, the symbols used to represent symmetry were S with a subscript of 2 or 3 (i don't know how to do a subscript on iphone).
Symmetry is a term for the conservation laws that constrain physical equations. Two interacting particles will obey the laws of physics. It is the laws that have symmetries. For example energy conservation can be thought of as invariance under time translation. So time translation is part of a group of transformations.

This is all very technical but that is what you probably stumbled on and it defies description in simple terms.
 
Mentz114 said:
This is all very technical but that is what you probably stumbled on and it defies description in simple terms.

Read the following:
https://www.amazon.com/dp/0750628960/?tag=pfamazon01-20
https://www.amazon.com/dp/3319192000/?tag=pfamazon01-20

Its tied up with Noethers beautiful theorem:
http://hackaday.com/2016/06/14/symmetry-for-dummies-noethers-theorem/

Its not simple and will require considerable study, but represents probably the most profound revelation of modern physics. It stunned Einstein. We have professors here that when they tell their students they sit in silent awe because of how how deep and profound its startling revelation is.

Thanks
Billl
 
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bhobba said:
Read the following:
https://www.amazon.com/dp/0750628960/?tag=pfamazon01-20
https://www.amazon.com/dp/3319192000/?tag=pfamazon01-20

Its tied up with Noethers beautiful theorem:
http://hackaday.com/2016/06/14/symmetry-for-dummies-noethers-theorem/

Its not simple and will require considerable study, but represents probably the most profound revelation of modern physics. It stunned Einstein. We have professors here that when they tell their students they sit in silent awe because of how how deep and profound its startling revelation is.

Thanks
Billl
Thanks, but I'm fully aware of that. Trying to express this in B-language defeated me and my post is ... ugh.
 
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I am slowly going through the book 'What Is a Quantum Field Theory?' by Michel Talagrand. I came across the following quote: One does not" prove” the basic principles of Quantum Mechanics. The ultimate test for a model is the agreement of its predictions with experiments. Although it may seem trite, it does fit in with my modelling view of QM. The more I think about it, the more I believe it could be saying something quite profound. For example, precisely what is the justification of...

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