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Symmetries play a big role in modern physics and have been a source of powerful tools and techniques for understanding theories and their dynamics. We say that something is symmetric if there is some transformation we can perform on that object that leaves some property unchanged. The set of symmetry transformations of an object forms a group, and the name of this group is used as the name of the symmetry of the object.

2 votes
3 answers
751 views

Application of Noether Theorem

I attempt to understand one of the examples of the application of Noether theorem given in Peskin & Schroeder's An Introduction to Quantum Field Theory (Page no. 18, Student Economy Edition). The rele …
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1 vote

What is the third component of the isospin, $I_3$?

Isospin operator, $\hat{\textbf{I}} \equiv \hat{I}_x \, \hat{x} + \hat{I}_y \, \hat{y} + \hat{I}_z \, \hat{z}$; where $\hat{I}_x$, $\hat{I}_y$ and $\hat{I}_z$ are operators and, they are the $x$, $y$ …
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0 votes
2 answers
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Gauss's Law for a Uniformly Charged Solid Sphere [duplicate]

We want to calculate $\vec{E}$ at a distance $r$ from the center $O$ of a spherical polar coordinate system. Let the point on the Gaussian surface at which we want to calculate $\vec{E}$ is $P=P(r …
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